RUS  ENG
Full version
JOURNALS // Fizika Tverdogo Tela // Archive

Fizika Tverdogo Tela, 2016 Volume 58, Issue 9, Pages 1783–1785 (Mi ftt9860)

This article is cited in 8 papers

Phase transitions

A mechanism of long-range order induced by random fields: Effective anisotropy created by defects

A. A. Berzina, A. I. Morozovb, A. S. Sigova

a MIREA — Russian Technological University, Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: A microscopic mechanism of the long-range order in two-dimensional space induced by random local fields of crystal defects has been found. The impurity-induced effective anisotropy has been shown to arise in the system due to anisotropic distribution of impurity-induced random local field directions in the $n$-dimensional space of vector order parameter with the $O(n)$ symmetry. The expression for the effective anisotropy constant has been obtained. A weak anisotropy of the “easy axis” type transforms the $X$$Y$ model and the Heisenberg model to the class of Ising models, and brings into long-range order existence in the system.

Received: 01.03.2016


 English version:
Physics of the Solid State, 2016, 58:9, 1846–1849

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025