Finite size induced phenomena in 2D classical spin models

Details Finite size induced phenomena in 2D classical spin models Finite size induced phenomena in 2D classical spin models

2006-12-09

arxiv.org/abs/cond-mat/0612231v1

Problems in Atomic Sc. and Tech., Ser. Nuclear Physics 3 (2007) 376-379

Physics

Condensed Matter

Statistical Mechanics

4 pages, submitted to the proceedings of the 2nd International Conference on Quantum Electrodynamics and Statistical Physics (

Scientific paper

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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