Néel Temperature of Quasi-Low-Dimensional Heisenberg Antiferromagnets

2003/12/31 by C. Yasuda, Chitoshi Yasuda, S. Todo +10 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.94.217201

published as Phys. Rev. Lett. 94, 217201 (2005) · 4 pages, 4 figures, to be published in Phys. Rev. Lett

arxiv created 2005/04/28 · openalex publication_date 2005/06/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The N'eel temperature T_N of quasi-one- and quasi-two-dimensional antiferromagnetic Heisenberg models on a cubic lattice is calculated by Monte Carlo simulations as a function of interchain (interlayer) to intrachain (intralayer) coupling J^\ensuremath'/J down to J^\ensuremath'/J\ensuremath≃10^\ensuremath-3. We find that T_N obeys a modified random-phase approximationlike relation for small J^\ensuremath'/J with an effective universal renormalized coordination number, independent of the size of the spin. Empirical formulas describing T_N for a wide range of J^\ensuremath' and useful for the analysis of experimental measurements are presented.

Citations

• Low Temperature Behavior and Crossovers of the Square Lattice Quantum Heisenberg Antiferromagnet
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

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