2011/08/10 by Gerardo Ortíz, G. Ortiz, Emilio Cobanera +3 · 2 citations
Physics and Astronomy · #Computer science #Database #Diagram #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.nuclphysb.2011.09.012
published as Nuc. Phys. B 854, 780 (2012) · 48 pages, 5 figures. Submitted to Nuclear Physics B
arxiv created 2011/08/10 · openalex publication_date 2011/09/20 · arxiv updated 2015/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.