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Fizika Tverdogo Tela, 2020 Volume 62, Issue 2, Pages 281–285 (Mi ftt8498)

This article is cited in 4 papers

Phase transitions

Long-range order induced by random fields in two-dimensional $O(n)$ models, and the Imry–Ma state

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

a MIREA — Russian Technological University, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region

Abstract: The influence of defects of the “random local field” type with an anisotropic distribution of random fields on two-dimensional models with continuous symmetry of the vector order parameter is considered. In the case of weak anisotropy of random fields, with decreasing temperature there takes place a smooth transition from the paramagnetic phase with dynamic fluctuations of the order parameter to the Imry–Ma phase with static fluctuations caused by fluctuations of the random field of defects. In the case of strong anisotropy of random fields, defects lead to an effective decrease in the number of components of the order parameter and the appearance of a phase transition to an ordered state at finite temperature.

Keywords: defects of the “random local field” type, two-dimensional $O(n)$ models, phase diagram, Imry–Ma phase.

Received: 06.09.2019
Revised: 06.09.2019
Accepted: 24.09.2019

DOI: 10.21883/FTT.2020.02.48880.575


 English version:
Physics of the Solid State, 2020, 62:2, 332–337

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