Numerical Jordan-Wigner approach for two dimensional spin systems

Details Numerical Jordan-Wigner approach for two dimensional spin systems Numerical Jordan-Wigner approach for two dimensional spin systems

2003-10-07

arxiv.org/abs/cond-mat/0310131v1

Physics

Condensed Matter

Strongly Correlated Electrons

Revtex, 8 pages, 4 figures

Scientific paper

10.1103/PhysRevB.69.184425

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 \Delta on a periodic square lattice. For the SU(2) case the method converges to a N\'eel 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.

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