Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
L. A. Takhtadzhyan, L. D. Faddeev

This publication is cited in the following articles:

1. Jean-Christophe Pain, “Statistics of Quantum Numbers for Non-Equivalent Fermions in Single-j Shells”, Atoms, 13:4 (2025), 25  
2. N. E. Shaik, E. Fogh, B. Dalla Piazza, B. Normand, D. A. Ivanov, H. M. Rønnow, “Confined and deconfined spinon excitations in the rectangular-lattice quantum antiferromagnet”, Phys. Rev. B, 112:2 (2025)  
3. Michael J. Kastoryano, Lasse B. Kristensen, Chi-Fang Chen, Andras Gilyén, “A little bit of self-correction”, Quantum, 9 (2025), 1820  
4. Akash Sinha, Tinu Justin, Pramod Padmanabhan, Vladimir Korepin, “The Yang–Baxter integrability of the critical Ising chain”, J. Stat. Mech., 2025:10 (2025), 103102  
5. Kang Lu, Weiqiang Wang, Weinan Zhang, “A Drinfeld type presentation of twisted Yangians”, Represent. Theory, 29:21 (2025), 838  
6. Chenan Wei, Vagharsh V. Mkhitaryan, Tigran A. Sedrakyan, “Unveiling chiral states in the XXZ chain: finite-size scaling probing symmetry-enriched c = 1 conformal field theories”, J. High Energ. Phys., 2024:6 (2024)  
7. David Raveh, Rafael I. Nepomechie, “Deterministic Bethe state preparation”, Quantum, 8 (2024), 1510  
8. Sawa Ohashi, Tetsuo Deguchi, “Unexpectedly Localized and Grid-like Density Profiles for Bethe Solutions of the Open-boundary XXX Spin Chain with Two Down-spins”, J. Phys. Soc. Jpn., 93:12 (2024)  
9. Chihiro Matsui, Naoto Tsuji, “Boundary dissipative spin chains with partial solvability inherited from system Hamiltonians”, Phys. Rev. B, 110:22 (2024)  
10. Jia-Sheng Dong, Pengcheng Lu, Pei Sun, Yi Qiao, Junpeng Cao, Kun Hao, Wen-Li Yang, “Exact surface energy and elementary excitations of the XXX spin-1/2 chain with arbitrary non-diagonal boundary fields”, Chinese Phys. B, 32:1 (2023), 017501  
11. Jiahao Yang, Xiao Wang, Jianda Wu, “Magnetic excitations in the one-dimensional Heisenberg–Ising model with external fields and their experimental realizations”, J. Phys. A: Math. Theor., 56:1 (2023), 013001  
12. Hongfei Shu, Peng Zhao, Rui-Dong Zhu, Hao Zou, “Bethe-state counting and Witten index”, SciPost Phys., 15:3 (2023)  
13. Rouven Koch, Jose L. Lado, “Designing quantum many-body matter with conditional generative adversarial networks”, Phys. Rev. Research, 4:3 (2022)  
14. Wen Li, Mert Okyay, Rafael I Nepomechie, “Bethe states on a quantum computer: success probability and correlation functions”, J. Phys. A: Math. Theor., 55:35 (2022), 355305  
15. Huan-Qiang Zhou, Qian-Qian Shi, Yan-Wei Dai, “Fidelity Mechanics: Analogues of the Four Thermodynamic Laws and Landauer's Principle”, Entropy, 24:9 (2022), 1306  
16. Nikolay Bogolyubov, Cyril Malyshev, “How to Draw a Correlation Function”, SIGMA, 17 (2021), 106, 35 pp.    
17. Nikolai Kitanine, Giridhar Kulkarni, “Form Factors of the Heisenberg Spin Chain in the Thermodynamic Limit: Dealing with Complex Bethe Roots”, SIGMA, 17 (2021), 112, 25 pp.    
18. Maxim Nazarov, “Double Yangian and the universal R-matrix”, Jpn. J. Math., 15:1 (2020), 169  
19. Rafael I. Nepomechie, “Completing the solution for the OSp(1|2) spin chain”, Nuclear Physics B, 951 (2020), 114887  
20. Laurens Vanderstraeten, Elisabeth Wybo, Natalia Chepiga, Frank Verstraete, Frédéric Mila, “Spinon confinement and deconfinement in spin-1 chains”, Phys. Rev. B, 101:11 (2020)  
21. S. A. Skorobogatov, S. E. Nikitin, K. A. Shaykhutdinov, A. D. Balaev, K. Yu. Terentjev, G. Ehlers, G. Sala, E. V. Pomjakushina, K. Conder, A. Podlesnyak, “Low-temperature spin dynamics in the TmFeO3 orthoferrite with a non-Kramers ion”, Phys. Rev. B, 101:1 (2020)  
22. Jarah Evslin, Hosam Mohammed, Hui Liu, Yao Zhou, “Continuum limit Tonks-Girardeau matrix elements. Part I. The ground state and the uniform density state”, J. High Energ. Phys., 2019:10 (2019)  
23. Hatem Barghathi, Emanuel Casiano-Diaz, Adrian Del Maestro, “Operationally accessible entanglement of one-dimensional spinless fermions”, Phys. Rev. A, 100:2 (2019)  
24. Nikolai Kitanine, Giridhar V. Kulkarni, “Thermodynamic limit of the two-spinon form factors for the zero field XXX chain”, SciPost Phys., 6:6 (2019)  
25. Takashi Imoto, Jun Sato, Tetsuo Deguchi, “Exact regimes of collapsed and extra two-string solutions in the two down-spin sector of the spin-1/2 massive XXZ spin chain”, J. Phys. A: Math. Theor., 52:3 (2019), 035203  
26. Yingkai Ouyang, “Computing spectral bounds of the Heisenberg ferromagnet from geometric considerations”, Journal of Mathematical Physics, 60:7 (2019)  
27. Samuel Belliard, Nikita A. Slavnov, Benoit Vallet, “Modified Algebraic Bethe Ansatz: Twisted XXX Case”, SIGMA, 14 (2018), 054, 18 pp.      
28. Samuel Belliard, Alexandre Faribault, “Ground state solutions of inhomogeneous Bethe equations”, SciPost Phys., 4:6 (2018)  
29. Samuel Belliard, Vidas Regelskis, “Drinfeld J Presentation of Twisted Yangians”, SIGMA, 13 (2017), 011, 35 pp.    
30. E. V. Damaskinsky, M. A. Sokolov, “The generating function of bivariate Chebyshev polynomials associated with the Lie algebra $G_2$”, Theoret. and Math. Phys., 192:2 (2017), 1115–1128              
31. L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081                
32. A. K. Bera, B. Lake, F. H. L. Essler, L. Vanderstraeten, C. Hubig, U. Schollwöck, A. T. M. N. Islam, A. Schneidewind, D. L. Quintero-Castro, “Spinon confinement in a quasi-one-dimensional anisotropic Heisenberg magnet”, Phys. Rev. B, 96:5 (2017)  
33. Laurens Vanderstraeten, Springer Theses, Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems, 2017, 125  
34. Calan Appadu, Timothy J Hollowood, Dafydd Price, “Quantum inverse scattering and the lambda deformed principal chiral model”, J. Phys. A: Math. Theor., 50:30 (2017), 305401  
35. Feng Pan, Yao-Zhong Zhang, Jerry P Draayer, “Exact solution of the two-axis countertwisting hamiltonian for the half-integerJcase”, J. Stat. Mech., 2017:2 (2017), 023104  
36. Chihiro Matsui, Tomaž Prosen, “Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields”, J. Phys. A: Math. Theor., 50:38 (2017), 385201  
37. Stefan Groha, Fabian H L Essler, “Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange”, J. Phys. A: Math. Theor., 50:33 (2017), 334002  
38. Edoardo Vescovi, Springer Theses, Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT, 2017, 1  
39. Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Multiple actions of the monodromy matrix in $\mathfrak{gl}(2|1)$-invariant integrable models”, SIGMA, 12 (2016), 099, 22 pp.        
40. Tetsuo Deguchi, Pulak Ranjan Giri, “Exact quantum numbers of collapsed and non-collapsed two-string solutions in the spin-1/2 Heisenberg spin chain”, J. Phys. A: Math. Theor., 49:17 (2016), 174001  
41. Maxime Dugave, Frank Göhmann, Karol K Kozlowski, Junji Suzuki, “Thermal form factor approach to the ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime”, J. Phys. A: Math. Theor., 49:39 (2016), 394001  
42. Fabian H L Essler, Maurizio Fagotti, “Quench dynamics and relaxation in isolated integrable quantum spin chains”, J. Stat. Mech., 2016:6 (2016), 064002  
43. V. D. Lyakhovsky, O. V. Postnova, “Generalized Pascal's triangles and singular elements of modules of Lie algebras”, Theoret. and Math. Phys., 185:1 (2015), 1481–1491              
44. Samuel Belliard, Rodrigo A. Pimenta, “Slavnov and Gaudin–Korepin Formulas for Models without $\mathrm{U}(1)$ Symmetry: the Twisted XXX Chain”, SIGMA, 11 (2015), 099, 12 pp.    
45. Anatol N. Kirillov, Reiho Sakamoto, “Some remarks on Nepomechie–Wang eigenstates for spin 1/2 XXX model”, Mosc. Math. J., 15:2 (2015), 337–352      
46. Pulak Ranjan Giri, Tetsuo Deguchi, “Singular eigenstates in the even(odd) length Heisenberg spin chain”, J. Phys. A: Math. Theor., 48:17 (2015), 175207  
47. F. H. L. Essler, R. G. Pereira, I. Schneider, “Spin-charge-separated quasiparticles in one-dimensional quantum fluids”, Phys. Rev. B, 91:24 (2015)  
48. P. Jakubczyk, M. Labuz, T. Lulek, “Matrix Representation of Constants of Motion for One-Dimensional Heisenberg Magnet”, Acta Phys. Pol. A, 128:2 (2015), 176  
49. R. Stagraczyński, “Combinatorics of Lax Objects in Bethe Ansatz”, Acta Phys. Pol. A, 128:2 (2015), 216  
50. R. Stagraczyński, “Combinatorics of Lax Objects in Bethe Ansatz”, Acta Phys. Pol. A, 128:2 (2015), 215  
51. Tetsuo Deguchi, Pulak Ranjan Giri, “Non self-conjugate strings, singular strings and rigged configurations in the Heisenberg model”, J. Stat. Mech., 2015:2 (2015), P02004  
52. Pulak Ranjan Giri, Tetsuo Deguchi, “Heisenberg model and rigged configurations”, J. Stat. Mech., 2015:7 (2015), P07007  
53. Rogier Vlijm, Jean-Sébastien Caux, “Computation of dynamical correlation functions of the spin-1 Babujan–Takhtajan chain”, J. Stat. Mech., 2014:5 (2014), P05009  
54. Taotao Hu, Hang Ren, Kang Xue, “The topological basis realization and the corresponding Heisenberg model of spin-1 chain”, Quantum Inf Process, 13:2 (2014), 273  
55. Taotao Hu, Hang Ren, Kang Xue, “The topological basis expression of Heisenberg spin chain”, Quantum Inf Process, 13:2 (2014), 401  
56. Fabrizio Nieri, Sara Pasquetti, Filippo Passerini, Alessandro Torrielli, “5D partition functions, q-Virasoro systems and integrable spin-chains”, J. High Energ. Phys., 2014:12 (2014)  
57. M. Wheeler, “Scalar Products in Generalized Models with SU(3)-Symmetry”, Commun. Math. Phys., 327:3 (2014), 737  
58. Davide Fioravanti, Simone Piscaglia, Marco Rossi, “On the scattering over the GKP vacuum”, Physics Letters B, 728 (2014), 288  
59. Anatol N Kirillov, Reiho Sakamoto, “Singular solutions to the Bethe ansatz equations and rigged configurations”, J. Phys. A: Math. Theor., 47:20 (2014), 205207  
60. L. D. Faddeev, “The new life of complete integrability”, Phys. Usp., 56:5 (2013), 465–472              
61. S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe vectors of $GL(3)$-invariant integrable models”, J. Stat. Mech., 2013:2 (2013), 2020–24        
62. Karol K. Kozlowski, Evgeny K. Sklyanin, “Combinatorics of Generalized Bethe Equations”, Lett Math Phys, 103:10 (2013), 1047  
63. Anastasia Doikou, “Transmission matrices in $ \mathfrak{g}{{\mathfrak{l}}_{\mathcal{N}}} $ & $ {{\mathfrak{U}}_q}\left( {\mathfrak{g}{{\mathfrak{l}}_{\mathcal{N}}}} \right) $ quantum spin chains”, J. High Energ. Phys., 2013:8 (2013)  
64. Anastasia Doikou, Nikos Karaiskos, “Transmission amplitudes from Bethe ansatz equations”, J. High Energ. Phys., 2013:2 (2013)  
65. Anastasia Doikou, “Type-I integrable quantum impurities in the Heisenberg model”, Nuclear Physics B, 877:3 (2013), 885  
66. Ivan Kostov, Yutaka Matsuo, “Inner products of Bethe states as partial domain wall partition functions”, J. High Energ. Phys., 2012:10 (2012)  
67. Dmytro Volin, “String Hypothesis for Spin Chains: A Particle/Hole Democracy”, Lett Math Phys, 102:1 (2012), 1  
68. ANASTASIA DOIKOU, “SELECTED TOPICS IN CLASSICAL INTEGRABILITY”, Int. J. Mod. Phys. A, 27:05 (2012), 1230003  
69. Ivan Kostov, “Three-point function of semiclassical states at weak coupling”, J. Phys. A: Math. Theor., 45:49 (2012), 494018  
70. G. Banaszak, S. Barańczuk, T. Lulek, J. Milewski, R. Stagraczyński, “Galois Properties of the Eigenproblem of the Hexagonal Magnetic Heisenberg Ring”, Acta Phys. Pol. A, 121:5-6 (2012), 1111  
71. Rei Inoue, Atsuo Kuniba, Taichiro Takagi, “Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry”, J. Phys. A: Math. Theor., 45:7 (2012), 073001  
72. FABIAN SPILL, “YANGIANS IN INTEGRABLE FIELD THEORIES, SPIN CHAINS AND GAUGE-STRING DUALITIES”, Rev. Math. Phys., 24:01 (2012), 1230001  
73. J. Math. Sci. (N. Y.), 181:6 (2012), 914–920    
74. Atsuo Kuniba, Tomoki Nakanishi, Junji Suzuki, “T-systems andY-systems in integrable systems”, J. Phys. A: Math. Theor., 44:10 (2011), 103001  
75. C. F. Sun, K. Xue, G. C. Wang, C. C. Zhou, G. J. Du, “The topological basis realization and the corresponding XXX spin chain”, EPL, 94:5 (2011), 50001  
76. J. Math. Sci. (N. Y.), 174:1 (2011), 58–70    
77. P. P. Kulish, N. Manojlović, Z. Nagy, “Symmetries of spin systems and Birman–Wenzl–Murakami algebra”, Journal of Mathematical Physics, 51:4 (2010)  
78. B Lulek, T Lulek, “Magnonic qudit and algebraic Bethe Ansatz”, J. Phys.: Conf. Ser., 213 (2010), 012009  
79. Jean Avan, Anastasia Doikou, Konstadinos Sfetsos, “Systematic classical continuum limits of integrable spin chains and emerging novel dualities”, Nuclear Physics B, 840:3 (2010), 469  
80. A. L. Malvezzi, M. J. Martins, “Excitations and finite-size properties of an integrable supersymmetric electronic model”, Phys. Rev. B, 81:3 (2010)  
81. ANASTASIA DOIKOU, STEFANO EVANGELISTI, GIOVANNI FEVERATI, NIKOS KARAISKOS, “INTRODUCTION TO QUANTUM INTEGRABILITY”, Int. J. Mod. Phys. A, 25:17 (2010), 3307  
82. M Labuz, T Lulek, “Bethe Ansatz solutions for two qudits”, J. Phys.: Conf. Ser., 213 (2010), 012019  
83. T Lulek, S Topolewicz, “A complete set of commuting operators for the Bethe ansatz”, J. Phys. A: Math. Theor., 43:49 (2010), 495201  
84. D Jakubczyk, T Lulek, P Jakubczyk, B Lulek, “Algebraic Bethe Ansatz forN= 4”, J. Phys.: Conf. Ser., 213 (2010), 012020  
85. R Stagraczynski, T Lulek, “Particle-hole symmetry in algebraic Bethe Ansatz for the XXX model”, J. Phys.: Conf. Ser., 213 (2010), 012008  
86. Ronny Thomale, D. P. Arovas, B. Andrei Bernevig, “Nonlocal Order in Gapless Systems: Entanglement Spectrum in Spin Chains”, Phys. Rev. Lett., 105:11 (2010)  
87. Fabian H L Essler, Robert M Konik, “Finite-temperature dynamical correlations in massive integrable quantum field theories”, J. Stat. Mech., 2009:09 (2009), P09018  
88. E. Mukhin, V. Tarasov, A. Varchenko, “Bethe Algebra of Homogeneous XXX Heisenberg Model has Simple Spectrum”, Commun. Math. Phys., 288:1 (2009), 1  
89. Tetsuo Deguchi, Chihiro Matsui, “Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry”, Nuclear Physics B, 814:3 (2009), 405  
90. S Belliard, N Crampé, É Ragoucy, “The scattering matrix for a generalgl(2) spin chain”, J. Stat. Mech., 2009:12 (2009), P12003  
91. Anastasia Doikou, Konstadinos Sfetsos, “Contracted and expanded integrable structures”, J. Phys. A: Math. Theor., 42:47 (2009), 475204  
92. Anastasia Doikou, “Non-diagonal reflection for the non-criticalXXZmodel”, J. Phys. A: Math. Theor., 41:19 (2008), 194007  
93. P. P. Kulish, N. Manojlovic, Z. Nagy, “Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices”, Journal of Mathematical Physics, 49:2 (2008)  
94. Rajan Murgan, “BoundarySmatrix of an open XXZ spin chain with nondiagonal boundary terms”, J. High Energy Phys., 2008:03 (2008), 053  
95. Anastasia Doikou, Davide Fioravanti, Francesco Ravanini, “The generalized non-linear Schrödinger model on the interval”, Nuclear Physics B, 790:3 (2008), 465  
96. Kazuhiro Sakai, Yuji Satoh, “On the origin of the dressing phase in N=4 super-Yang–Mills”, Physics Letters B, 661:2-3 (2008), 216  
97. Anastasia Doikou, “Generic boundary scattering in the open XXZ chain”, Physics Letters A, 372:23 (2008), 4144  
98. Petr P. Kulish, “Models solvable by Bethe Ansatz”, J. Gen. Lie Theory Appl., 2:3 (2008), 190  
99. Akinori Nishino, Tetsuo Deguchi, “An Algebraic Derivation of the Eigenspaces Associated with an Ising-Like Spectrum of the Superintegrable Chiral Potts Model”, J Stat Phys, 133:4 (2008), 587  
100. A. G. Antipov, I. V. Komarov, “String limit of the isotropic Heisenberg chain in the four-particle sector”, Phys. Atom. Nuclei, 71:5 (2008), 788  
101. A. G. Bytsko, I. E. Shenderovich, “On string solutions of Bethe equations in $\mathcal{N}=4$ supersymmetric Yang–Mills theory”, J. Math. Sci. (N. Y.), 151:2 (2008), 2840–2847      
102. P. P. Kulish, N. Manoilovich, “Quantum algebras with representation ring of $\operatorname{sl}(2)$ type”, J. Math. Sci. (N. Y.), 151:2 (2008), 2894–2900        
103. Anastasia Doikou, “A note on the boundary spin s XXZ chain”, Physics Letters A, 366:6 (2007), 556  
104. Xue-Hong Wang, Chunfeng Wu, “Modified Heisenbeg Model and the Structure of Its Energy Spectrum”, Int J Theor Phys, 46:11 (2007), 2967  
105. Rob Hagemans, Jean-Sébastien Caux, “Deformed strings in the Heisenberg model”, J. Phys. A: Math. Theor., 40:49 (2007), 14605  
106. Kazuhiro Sakai, Yuji Satoh, “Microscopic formulation of the S-matrix in AdS/CFT”, J. High Energy Phys., 2007:12 (2007), 044  
107. Gerard't Hooft, Philosophy of Physics, 2007, 661  
108. N Crampé, L Frappat, É Ragoucy, “The thermodynamical limit of generalgl(N) spin chains: the vacuum state and densities”, J. Stat. Mech., 2007:03 (2007), P03014  
109. Tetsuo Deguchi, “Regular XXZ Bethe states at roots of unity as highest weight vectors of thesl2loop algebra”, J. Phys. A: Math. Theor., 40:27 (2007), 7473  
110. A. Foerster, E. Ragoucy, “Exactly solvable models in atomic and molecular physics”, Nuclear Physics B, 777:3 (2007), 373  
111. Tetsuo Deguchi, “On the Degenerate Multiplicity of the $\mathrm{sl}_2$ Loop Algebra for the 6V Transfer Matrix at Roots of Unity”, SIGMA, 2 (2006), 021, 10 pp.        
112. Anastasia Doikou, “The openXXZand associated models atqroot of unity”, J. Stat. Mech., 2006:09 (2006), P09010  
113. O Golinelli, K Mallick, “Derivation of a matrix product representation for the asymmetric exclusion process from the algebraic Bethe ansatz”, J. Phys. A: Math. Gen., 39:34 (2006), 10647  
114. Anastasia Doikou, Paul P Martin, “On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary”, J. Stat. Mech., 2006:06 (2006), P06004  
115. Herman E Boos, Frank Göhmann, Andreas Klümper, Junji Suzuki, “Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain”, J. Stat. Mech., 2006:04 (2006), P04001  
116. A.G. Antipov, I.V. Komarov, “The isotropic Heisenberg chain of arbitrary spin by direct solution of the Baxter equation”, Physica D: Nonlinear Phenomena, 221:2 (2006), 101  
117. Troels Harmark, Marta Orselli, “Quantum mechanical sectors in thermal super-Yang–Mills on”, Nuclear Physics B, 757:1-2 (2006), 117  
118. P. P. Kulish, P. D. Ryasichenko, “Spin chain connected to the quantum superalgebra $\mathrm{sl}_q(1\mid 1)$”, J. Math. Sci. (N. Y.), 138:3 (2006), 5711–5721        
119. St. Petersburg Math. J., 17:1 (2006), 85–117        
120. H.E. Boos, M. Shiroishi, M. Takahashi, “First principle approach to correlation functions of spin- Heisenberg chain: fourth-neighbor correlators”, Nuclear Physics B, 712:3 (2005), 573  
121. Anastasia Doikou, “On reflection algebras and twisted Yangians”, Journal of Mathematical Physics, 46:5 (2005)  
122. Zoltán Nagy, Jean Avan, Anastasia Doikou, Geneviève Rollet, “Commuting quantum traces for quadratic algebras”, Journal of Mathematical Physics, 46:8 (2005)  
123. D Arnaudon, N Crampé, A Doikou, L Frappat, É Ragoucy, “Analytical Bethe ansatz for closed and opengl(Script N)-spin chains in any representation”, J. Stat. Mech., 2005:02 (2005), P02007  
124. Anastasia Doikou, “From affine Hecke algebras to boundary symmetries”, Nuclear Physics B, 725:3 (2005), 493  
125. FENG PAN, LIAN-RONG DAI, DAN ZHANG, J. P. DRAAYER, “PERMUTATION GROUP APPROACH TO THE ONE-DIMENSIONAL XXX HEISENBERG OPEN SPIN-1/2 CHAINS”, Int. J. Mod. Phys. C, 15:02 (2004), 247  
126. Bin Chen, Xiao-Jun Wang, Yong-Shi Wu, “Open spin chain and open spinning string”, Physics Letters B, 591:1-2 (2004), 170  
127. S. E. Barnes, Springer Series in Solid-State Sciences, 144, Physics of Transition Metal Oxides, 2004, 101  
128. Akinori Nishino, Tetsuo Deguchi, “Completeness of Bethe ansatz for 1D Hubbard model with AB-flux through combinatorial formulas and exact enumeration of eigenstates”, Nuclear Physics B, 688:3 (2004), 266  
129. B Si-Lakhal, A Abada, “Monte Carlo study of four-spinon dynamic structure function in antiferromagnetic Heisenberg model”, J. Phys. A: Math. Gen., 37:2 (2004), 497  
130. D Arnaudon, J Avan, N Crampé, A Doikou, L Frappat, E Ragoucy, “General boundary conditions for the and open spin chains”, J. Stat. Mech.: Theor. Exp., 2004:08 (2004), P08005  
131. Anastasia Doikou, “Fused integrable lattice models with quantum impurities and open boundaries”, Nuclear Physics B, 668:3 (2003), 447  
132. Anastasia Doikou, “Thermodynamics of the criticalRSOS(q1,q2;q) model”, J. Phys. A: Math. Gen., 36:2 (2003), 329  
133. Daniel Biegel, Michael Karbach, Gerhard M ller, “Transition rates via Bethe ansatz for the spin-1/2 planarXXZantiferromagnet”, J. Phys. A: Math. Gen., 36:20 (2003), 5361  
134. Joseph A Minahan, Konstantin Zarembo, “The Bethe-ansatz for Script N = 4 super Yang-Mills”, J. High Energy Phys., 2003:03 (2003), 013  
135. P. P. Kulish, N. Manojlović, “Trigonometric osp(1|2) Gaudin model”, Journal of Mathematical Physics, 44:2 (2003), 676  
136. A.I. Molev, Handbook of Algebra, 3, 2003, 907  
137. Petr P. Kulish, Factorization and Integrable Systems, 2003, 131  
138. Anastasia Doikou, “The XXX spin s quantum chain and the alternating s1, s2 chain with boundaries”, Nuclear Physics B, 634:3 (2002), 591  
139. Anastasia Doikou, Andrei Babichenko, “Principal chiral model scattering and the alternating quantum spin chain”, Physics Letters B, 515:1-2 (2001), 220  
140. Tetsuo Deguchi, “Non-regular eigenstate of theXXXmodel as some limit of the Bethe state”, J. Phys. A: Math. Gen., 34:46 (2001), 9755  
141. P. P. Kulish, N. Manojlović, “Creation operators and Bethe vectors of the osp(1|2) Gaudin model”, Journal of Mathematical Physics, 42:10 (2001), 4757  
142. Marc Bocquet, Fabian H. L. Essler, Alexei M. Tsvelik, Alexander O. Gogolin, “Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-12Heisenberg antiferromagnets”, Phys. Rev. B, 64:9 (2001)  
143. Alain Verberkmoes, Bernard Nienhuis, “Bethe ansatz solution of triangular trimers on the triangular lattice”, Phys. Rev. E, 63:6 (2001)  
144. Klaus Fabricius, Barry M. McCoy, “Bethe's Equation Is Incomplete for the XXZ Model at Roots of Unity”, Journal of Statistical Physics, 103:5-6 (2001), 647  
145. Klaus Fabricius, Barry M. McCoy, “Completing Bethe's Equations at Roots of Unity”, Journal of Statistical Physics, 104:3-4 (2001), 573  
146. F. Berruto, G. Grignani, P. Sodano, “Strongly coupled 't Hooft model on the lattice”, Phys. Rev. D, 62:5 (2000)  
147. R Feyerherm, S Abens, D Günther, T Ishida, M Meißner, M Meschke, T Nogami, M Steiner, “Magnetic-field induced gap and staggered susceptibility in theS= 1/2 chain [PM·Cu(NO3)2·(H2O)2]n(PM = pyrimidine)”, J. Phys.: Condens. Matter, 12:39 (2000), 8495  
148. L. C. Kwek, Yong Liu, C. H. Oh, Xiang-Bin Wang, “Analytic expression for exact-ground-state energy based on an operator method for a class of anharmonic potentials”, Phys. Rev. A, 62:5 (2000)  
149. Atsuo Kuniba, Tomoki Nakanishi, Physical Combinatorics, 2000, 185  
150. Rafael I Nepomechie, “Nonstandard coproducts and the Izergin-Korepin open spin chain”, J. Phys. A: Math. Gen., 33:2 (2000), L21  
151. G. P. Pron'ko, Yu. G. Stroganov, “Bethe equations “on the wrong side of the equator””, Theoret. and Math. Phys., 118:3 (1999), 357–364            
152. Jing-Ling Chen, Mo-Lin Ge, Kang Xue, “Possible experimental measure theory for theXXX-Heisenberg chain”, Phys. Rev. E, 60:2 (1999), 1486  
153. Anastasia Doikou, Rafael I Nepomechie, “Direct calculation of breatherSmatrices”, J. Phys. A: Math. Gen., 32:20 (1999), 3663  
154. Yasuhiro Fujii, Miki Wadati, “Spontaneous Magnetization in the Bounded XXZ Spin Chain”, J. Phys. Soc. Jpn., 68:4 (1999), 1121  
155. RAFAEL I NEPOMECHIE, “NEW AND OLD SYMMETRIES OF INTEGRABLE SPIN CHAINS”, Int. J. Mod. Phys. B, 13:32 (1999), 3943  
156. Fabian H. L. Eßler, “Sine-Gordon low-energy effective theory for copper benzoate”, Phys. Rev. B, 59:22 (1999), 14376  
157. RAFAEL I. NEPOMECHIE, “A SPIN CHAIN PRIMER”, Int. J. Mod. Phys. B, 13:24n25 (1999), 2973  
158. J Abad, M Ríos, “Excitations and theS-matrix for ansu(3)spin chain combining and representations”, J. Phys. A: Math. Gen., 31:10 (1998), 2269  
159. Anastasia Doikou, Rafael I. Nepomechie, “Duality and quantum-algebra symmetry of the A-1(1) open spin chain with diagonal boundary fields”, Nuclear Physics B, 530:3 (1998), 641  
160. M.J. Martins, P.B. Ramos, “The quantum inverse scattering method for Hubbard-like models”, Nuclear Physics B, 522:3 (1998), 413  
161. Holger Frahm, Martin Stahlsmeier, “Spinon statistics in integrable spin-S Heisenberg chains”, Physics Letters A, 250:4-6 (1998), 293  
162. Anastasia Doikou, Rafael I Nepomechie, “Discrete symmetries andS-matrix of theXXZchain”, J. Phys. A: Math. Gen., 31:37 (1998), L621  
163. T. Fujita, M. Hiramoto, “Violation ofS-matrix factorization in the massive Thirring model”, Phys. Rev. D, 58:12 (1998)  
164. A. Hamid Bougourzi, Michael Karbach, Gerhard Müller, “Exact two-spinon dynamic structure factor of the one-dimensionals=12Heisenberg-Ising antiferromagnet”, Phys. Rev. B, 57:18 (1998), 11429  
165. Anastasia Doikou, Luca Mezincescu, Rafael I Nepomechie, “BoundaryS-matrix for theXXZchain”, J. Phys. A: Math. Gen., 31:1 (1998), 53  
166. Yukiko Umeno, Masahiro Shiroishi, Miki Wadati, “FermionicR-Operator and Integrability of the One-Dimensional Hubbard Model”, J. Phys. Soc. Jpn., 67:7 (1998), 2242  
167. Anastasia Doikou, Rafael I. Nepomechie, “Bulk and boundary S-matrices for the SU(N) chain”, Nuclear Physics B, 521:3 (1998), 547  
168. Heng Fan, Bo-Yu Hou, Kang-he Shi, “Representation of the boundary elliptic quantum group BEτ,η(sl2) and the Bethe ansatz”, Nuclear Physics B, 496:3 (1997), 551  
169. Gerald Bedürftig, Fabian H.L. Eβler, Holger Frahm, “Exact solution of a t-J chain with impurity”, Nuclear Physics B, 489:3 (1997), 697  
170. Frank Göhmann, Shuichi Murakami, “Algebraic and analytic properties of the one-dimensional Hubbard model”, J. Phys. A: Math. Gen., 30:15 (1997), 5269  
171. Anastasia Doikou, Luca Mezincescu, Rafael I. Nepomechie, “Factorization of Multiparticle Scattering in the Heisenberg Spin Chain”, Mod. Phys. Lett. A, 12:34 (1997), 2591  
172. Holger Frahm, Claus Rödenbeck, “Properties of the chiral spin liquid state in generalized spin ladders”, J. Phys. A: Math. Gen., 30:13 (1997), 4467  
173. Anastasia Doikou, Luca Mezincescu, Rafael I Nepomechie, “Simplified calculation of boundarySmatrices”, J. Phys. A: Math. Gen., 30:15 (1997), L507  
174. Jan de Gier, Bernard Nienhuis, “Integrability of the square-triangle random tiling model”, Phys. Rev. E, 55:4 (1997), 3926  
175. Klaus Fabricius, Ute Löw, Joachim Stolze, “Dynamic correlations of antiferromagnetic spin- XXZ chains at arbitrary temperature from complete diagonalization”, Phys. Rev. B, 55:9 (1997), 5833  
176. A. I. Molev, M. L. Nazarov, G. I. Olshanskii, “Yangians and classical Lie algebras”, Russian Math. Surveys, 51:2 (1996), 205–282                
177. Atsushi Nakayashiki, Yasuhiko Yamada, “Crystallizing the spinon basis”, Commun.Math. Phys., 178:1 (1996), 179  
178. H Frahm, C Rödenbeck, “Integrable models of coupled Heisenberg chains”, Europhys. Lett., 33:1 (1996), 47  
179. Fabian H L Essler, “The supersymmetrict-Jmodel with a boundary”, J. Phys. A: Math. Gen., 29:19 (1996), 6183  
180. Yasuhiro Hatsugai, Mahito Kohmoto, Tohru Koma, Yong-Shi Wu, “Mutual-exclusion statistics in exactly solvable models in one and higher dimensions at low temperatures”, Phys. Rev. B, 54:8 (1996), 5358  
181. Yu. S. Osipov, A. A. Gonchar, S. P. Novikov, V. I. Arnol'd, G. I. Marchuk, P. P. Kulish, V. S. Vladimirov, E. F. Mishchenko, “Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)”, Russian Math. Surveys, 50:3 (1995), 643–659            
182. K Totsuka, M Suzuki, “The spin-1/2 Heisenberg spin ladder with bond alternation”, J. Phys.: Condens. Matter, 7:30 (1995), 6079  
183. K Totsuka, Y Nishiyama, N Hatano, M Suzuki, “Isotropic spin-1 chains with bond alternation: analytic and numerical studies”, J. Phys.: Condens. Matter, 7:25 (1995), 4895  
184. G Bedurftig, H Frahm, “Thermodynamics of an integrable model for electrons with correlated hopping”, J. Phys. A: Math. Gen., 28:16 (1995), 4453  
185. Ezer Melzer, “On the scaling limit of the 1D Hubbard model at half-filling”, Nuclear Physics B, 443:3 (1995), 553  
186. Vladimir E. Korepin, Fabian H. L. Eßler, NATO ASI Series, 343, The Hubbard Model, 1995, 71  
187. M T Grisaru, L Mezincescu, R I Nepomechie, “Direct calculation of the boundary S-matrix for the open Heisenberg chain”, J. Phys. A: Math. Gen., 28:4 (1995), 1027  
188. K Totsuka, M Suzuki, “Matrix formalism for the VBS-type models and hidden order”, J. Phys.: Condens. Matter, 7:8 (1995), 1639  
189. Fabian H. L. Eβler, “DressedSmatrices in models with long-range interactions”, Phys. Rev. B, 51:19 (1995), 13357  
190. V. E. Korepin, F. H. L. Essler, Springer Series in Solid-State Sciences, 118, Correlation Effects in Low-Dimensional Electron Systems, 1994, 57  
191. Fabian H.L. Essler, Vladimir E. Korepin, “SU(2) × SU(2)-invariant scattering matrix of the Hubbard model”, Nuclear Physics B, 426:3 (1994), 505  
192. Fabian H. L. Eβler, Vladimir E. Korepin, “Scattering matrix and excitation spectrum of the Hubbard model”, Phys. Rev. Lett., 72:6 (1994), 908  
193. Vladimir E. Korepin, Anatoli G. Izergin, Fabian H.L. Essler, Denis B. Uglov, “Correlation function of the spin- XXX antiferromagnet”, Physics Letters A, 190:2 (1994), 182  
194. H. J. de Vega, Luca Mezincescu, Rafael I. Nepomechie, “Thermodynamics of integrable chains with alternating spins”, Phys. Rev. B, 49:18 (1994), 13223  
195. Luca Mezincescu, Rafael I. Nepomechie, P.K. Townsend, A.M. Tsvelik, “Low-temperature thermodynamics of A2(2) and su(3)-invariant integrable spin chains”, Nuclear Physics B, 406:3 (1993), 681  
196. Srinandan Dasmahapatra, Rinat Kedem, Barry M. McCoy, “Spectrum and completeness of the three-state superintegrable chiral Potts model”, Nuclear Physics B, 396:2-3 (1993), 506  
197. Tetsuji Miwa, NATO ASI Series, 310, Integrable Quantum Field Theories, 1993, 1  
198. A. Kuniba, “Thermodynamics of the Uq(Xr(1)) Bethe ansatz system with q a root of unity”, Nuclear Physics B, 389:1 (1993), 209  
199. Brian Davies, Omar Foda, Michio Jimbo, Tetsuji Miwa, Atsushi Nakayashiki, “Diagonalization of theXXZ Hamiltonian by vertex operators”, Commun.Math. Phys., 151:1 (1993), 89  
200. H Frahm, “Spectrum of a spin chain with inverse square exchange”, J. Phys. A: Math. Gen., 26:10 (1993), L473  
201. Leh-Hun Gwa, Herbert Spohn, “Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian”, Phys. Rev. Lett., 68:6 (1992), 725  
202. A. N. Kirillov, F. A. Smirnov, “Form-factors in the SU(2)-invariant Thirring model”, J Math Sci, 47:2 (1989), 2423  
203. E. V. Gusev, “Convergence of model Heisenberg dynamics”, Theoret. and Math. Phys., 77:1 (1988), 1010–1018        
204. A. N. Kirillov, N. Yu. Reshetikhin, “Multiplicity of weights in irreducibile tensor representations of a complete linear superalgebra”, Funct. Anal. Appl., 22:4 (1988), 328–330          
205. L. V. Avdeev, B. Derfel', “Solutions of the Bethe ansatz equations for XXX antiferromagnet of arbitrary spin in the case of a finite number of sites”, Theoret. and Math. Phys., 71:2 (1987), 528–542        
206. E. V. Gusev, “Bethe method: Thermodynamics and limit states”, Theoret. and Math. Phys., 67:3 (1986), 606–613        
207. L. V. Avdeev, A. A. Vladimirov, “Exceptional solutions to the Bethe ansatz equations”, Theoret. and Math. Phys., 69:2 (1986), 1071–1079        
208. A. A. Vladimirov, “Proof of the invariance of the Bethe-ansatz solutions under complex conjugation”, Theoret. and Math. Phys., 66:1 (1986), 102–105        
209. Henrik Johannesson, “The structure of low-lying excitations in a new integrable quantum chain model”, Nuclear Physics B, 270 (1986), 235  
210. E. V. Gusev, “Thermodynamics and excited states of the Heisenberg model”, Theoret. and Math. Phys., 63:2 (1985), 527–532        
211. N. Yu. Reshetikhin, “Integrable models of quantum one-dimensional magnets with $O(n)$ and $Sp(2k)$ symmetry”, Theoret. and Math. Phys., 63:3 (1985), 555–569        
212. N. Yu. Reshetikhin, V. A. Smirnov, “Quantum Floquet functions”, J Math Sci, 30:4 (1985), 2326  
213. P. P. Kulish, N. Yu. Reshetikhin, “Integrable fermion chiral models connected with the classical Lie algebras”, J Math Sci, 31:6 (1985), 3352  
214. A. N. Kirillov, “Combinatorial identities, and completeness of eigenstates of the Heisenberg magnet”, J Math Sci, 30:4 (1985), 2298  
215. F. A. Smirnov, “Quantum Gel'fand–Levitan–Marchenko equations for the sine-Gordon model”, Theoret. and Math. Phys., 60:3 (1984), 871–880        
216. V. O. Tarasov, L. A. Takhtadzhyan, L. D. Faddeev, “Local Hamiltonians for integrable quantum models on a lattice”, Theoret. and Math. Phys., 57:2 (1983), 1059–1073