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cond-mat.stat-mechJun 1, 2005
2
citations (OpenAlex)
authors
  • A. C. D. van Enter
  • S. B. Shlosman
institutions
  • Aix-Marseille Université
  • Centre de Physique Théorique
  • Université de Toulon
arXiv abstractPDF
paper

First-order transitions for very nonlinear sigma models

arXiv:cond-mat/0506730

Abstract

In this contribution we discuss the occurrence of first-order transitions in temperature in various short-range lattice models with a rotation symmetry. Such transitions turn out to be widespread under the condition that the interaction potentials are sufficiently nonlinear.

Contribution to the Dublin John Lewis memorial meeting

References in corpus (9)

  • Regularity Properties and Pathologies of Position-Space Renormalization-Group Transformations
  • First-order transitions for n-vector models in two and more dimensions; rigorous proof
  • Provable first-order transitions for liquid crystal and lattice gauge models with continuous symmetries
  • Phase coexistence of gradient Gibbs states
  • Pathologies of the large-N limit for RP^{N-1}, CP^{N-1}, QP^{N-1} and mixed isovector/isotensor sigma-models
  • Forbidden gap argument for phase transitions proved by means of chessboard estimates
  • Two-Dimensional Heisenberg Model with Nonlinear Interactions
  • Two-Dimensional Heisenberg Model with Nonlinear Interactions: 1/N Corrections
  • Compact lattice U(1) and Seiberg-Witten duality

Cited by in corpus (2)

  • First-order transitions for some generalized XY models
  • Homotopy in statistical physics
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