Collège Doctoral - Doktorandenkollegien

Statistical Physics of Complex Systems

Coventry - Leipzig - Lviv - Nancy

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Publication

Title Finite size induced phenomena in 2D classical spin models
Authors Kapikranian O., Berche B., Holovatch Yu.
Reference Problems in Atomic Sc. and Tech., 3 (2007) 376-379
ArXivcond-mat/0612231
External link Lien
Abstract We make a short overview of the recent analytic and numerical studies of the classical two-dimensional XY and Heisenberg models at low temperatures. Special attention is being paid to an influence of finite system size L on the peculiarities of the low-temperature phase. In accordance with the Mermin-Wagner-Hohenberg theorem, spontaneous magnetisation does not appear in the above models at infinite L. However it emerges for the finite system sizes and leads to new features of the low-temperature behaviour.


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