期刊
NUCLEAR PHYSICS B
卷 854, 期 3, 页码 780-814出版社
ELSEVIER
DOI: 10.1016/j.nuclphysb.2011.09.012
关键词
p-Clock model; XY model; BKT transition; Topological excitations; Discrete vortices; Peierls argument; Griffiths inequality; Duality; Bond algebras
资金
- National Science Foundation [1066293]
A new bond-algebraic approach to duality transformations provides a very powerful technique to analyze elementary excitations in the classical two-dimensional XY and p-clock models. By combining duality and Peierls arguments, we establish the existence of non-Abelian symmetries, the phase structure, and transitions of these models, unveil the nature of their topological excitations, and explicitly show that a continuous U(1) symmetry emerges when p >= 5. This latter symmetry is associated with the appearance of discrete vortices and Berezinskii-Kosterlitz-Thouless-type transitions. We derive a correlation inequality to prove that the intermediate phase, appearing for p >= 5, is critical (massless) with decaying power-law correlations. (C) 2011 Elsevier B.V. All rights reserved.
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