Topological phase transitions in two-dimensional systems with internal symmetries
High Energy Physics - Theory
2009-10-31 v1 Condensed Matter
Abstract
Possible generalizations of the topological (or Berezinskii-Kosterlitz-Thouless) phase transition on multicomponent 2D systems with nontrivial vector homotopic group pi_1 are considered. Relations between Ginzburg-Landau like theories, non-linear sigma-models on maximal Cartan subgroups of simple compact Lie groups and generalized sine-Gordon type theories are discussed. D-dimensional non-linear sigma-model admitting topological excitations with logarithmic energies are constructed.
Keywords
Cite
@article{arxiv.hep-th/9907195,
title = {Topological phase transitions in two-dimensional systems with internal symmetries},
author = {S. A. Bulgadaev},
journal= {arXiv preprint arXiv:hep-th/9907195},
year = {2009}
}
Comments
24 pages, 2 figures, 1 table; a talk given at seminar "Topological Defects in Non-Equilibrium Systems and Condensed Matter", MPIPKS, Dresden, 22 July, 1999, Germany