Magnetic order-disorder transition in the two-dimensional spatially anisotropic Heisenberg model at zero temperature

1999/04/30 by D. Ihle, C. Schindelin, Alexander Weiße +3
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.60.9240

published as Phys. Rev. B 60, 9240 (1999) · 4 pages, 4 figures

arxiv created 1999/05/10 · openalex publication_date 1999/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model with spatially anisotropic couplings on a square lattice are investigated by a spin-rotation-invariant Green's-function approach and by Lanczos diagonalizations on lattices up to 36 sites supplemented by finite-size scaling. We focus on the anisotropy-driven transition from the N'eel state to a paramagnetic state with antiferromagnetic short-range order and on the spatial dependence of spin correlation functions. Our principal result is that a rather sharp crossover in the magnetic behavior occurs at the coupling ratio R₀\ensuremath≃0.2 (R=J_y/J_x).

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