Dualities and the phase diagram of the p-clock model
201235 pages
Published in:
- Nucl.Phys.B 854 (2012) 780-814
- Published: 2012
e-Print:
- 1108.2276 [cond-mat.stat-mech]
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Abstract: (Elsevier)
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 t he 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.Note:
- 48 pages, 5 figures. Submitted to Nuclear Physics B
- p-Clock model
- XY model
- BKT transition
- Topological excitations
- Discrete vortices
- Peierls argument
- Griffiths inequality
- Duality
- Bond algebras
- p -Clock model
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