Magnetic Order-Disorder Transition in the Two-Dimensional Spatially Anisotropic Heisenberg Model at Zero Temperature

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 Néel 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 $R_0\simeq 0.2$ ($R=J_y/J_x$).

arXiv comment4 pages, 4 figures

References in corpus (9)

• Dynamics of coupled quantum spin chains
• Reduction of ordered moment and Neel temperature of quasi one-dimensional antiferromagnets Sr2CuO3 and Ca2CuO3
• Electronic structure and magnetic properties of the linear chain cuprates Sr_2CuO_3 and Ca_2CuO_3
• Doped planar quantum antiferromagnets with striped phases
• A Plane of Weakly Coupled Heisenberg Chains: Theoretical Arguments and Numerical Calculations
• Realization of a Spin liquid in a Two Dimensional Quantum Antiferromagnet
• Weakly Coupled Antiferromagnetic Quantum Spin Chains
• Theory of Spin Fluctuations in Striped Phases of Doped Antiferromagnetic Cuprates
• From one to two dimensions in quantum spin systems

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