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Phys. Rev. B 69, 184425 (2004) [6 pages]

Numerical Jordan-Wigner approach for two-dimensional spin systems

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D. C. Cabra1,2 and G. L. Rossini3,2
1Laboratoire de Physique Théorique, Université Louis Pasteur 3 rue de l’Université, F-67084 Strasbourg Cedex, France
2Facultad de Ingeniería, Universidad Nacional de Lomas de Zamora, Camino de Cintura y Juan XXIII, (1832) Lomas de Zamora, Argentina
3Departamento de Física, Universidad Nacional de la Plata C.C. 67, (1900) La Plata, Argentina

Received 16 October 2003; revised 31 December 2003; published 28 May 2004

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 Δ on a periodic square lattice. For the SU(2) case the method converges to a Néel ordered ground state irrespective 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 such as frustrated or disordered systems.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.69.184425
DOI:
10.1103/PhysRevB.69.184425
PACS:
75.10.Jm, 75.25.+z, 75.50.Ee, 05.30.-d