Numerical Jordan-Wigner approach for two dimensional spin systems

DANIEL CABRA; GERARDO ROSSINI

PHYSICAL REVIEW B - CONDENSED MATTER AND MATERIALS PHYSICS

The American Physical Society

Año: 2004 vol. 69 p. 184425 - 184430

0163-1829

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 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.