Numerical Jordan-Wigner approach for two dimensional spin systems

Abstract

We present a numerical self consistent variational approach based on the Jordan-Wigner transformation for two dimensional spin systems. We apply it to the study of the well known quantum (S=1/2) antiferromagnetic XXZ system as a function of the easy-axis anisotropy Δon a periodic square lattice. For the SU(2) case the method converges to a Néel ordered ground state irrespectively of the input density profile used and in accordance with other studies. This shows the potential utility of the proposed method to investigate more complicated situations like frustrated or disordered systems.

Revtex, 8 pages, 4 figures

References in corpus (4)

• Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory
• Jordan-Wigner fermionization for spin-1/2 systems in two dimensions: A brief review
• Chern-Simons Theory for Magnetization Plateaus of Frustrated $J_1$-$J_2$ Heisenberg model
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• Comparison between disordered quantum spin 1/2 chains
• Saturated Ferromagnetism from Statistical Transmutation in Two Dimensions