Spin stiffness and topological defects in two-dimensional frustrated spin systems

2000/12/31 by Michel Caffarel, P. Azaria, Patrick Azaria +3 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.64.014412

RevTex, 25 pages, 14 figures, Minor changes, final version. To appear in Phys.Rev.B

arxiv created 2001/05/14 · openalex publication_date 2001/06/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a collective Monte Carlo algorithm we study the low-temperature and long-distance properties of two systems of two-dimensional classical tops. Both systems have the same spin-wave dynamics (low-temperature behavior) as a large class of Heisenberg frustrated spin systems. They are constructed so that to differ only by their topological properties. The spin stiffnesses for the two systems of tops are calculated for different temperatures and different sizes of the sample. This allows one to investigate the role of topological defects in frustrated spin systems. Comparisons with renormalization group results based on a nonlinear sigma model approach and with the predictions of some simple phenomenological model taking into account the topological excitations are done.

Citations

• Monte Carlo Calculation of the Spin-Stiffness of the Two-Dimensional Heisenberg Model
• New universality classes for two-dimensional σ-models
• Phase transitions induced by easy-plane anisotropy in the classical Heisenberg antiferromagnet on a triangular lattice: A Monte Carlo simulation
• The critical properties of the two-dimensional xy model
• Ordering, metastability and phase transitions in two-dimensional systems
• Frustrated Heisenberg Magnets: A Nonperturbative Approach

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