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Critical behavior of the site diluted quantum anisotropic Heisenberg model in two dimensions

Author

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  • Lima, L.S.
  • Pires, A.S.T.
  • Costa, B.V.

Abstract

In this work we use the Self Consistent Harmonic Approximation and Quantum Monte Carlo technique to study the Quantum XY on a two dimensional square lattice in the presence of nonmagnetic impurities. In particular we discuss how site disorder changes the Berezinskii–Kosterlitz–Thouless transition temperature, TBKT. This temperature is determined as a function of the nonmagnetic density. Our results are consistent with an anomalous behavior of TBKT at a concentration close to the site percolation threshold. We interpret the results as due to a competition between the confining of vortices and quantum fluctuations, or due to finite size effects.

Suggested Citation

  • Lima, L.S. & Pires, A.S.T. & Costa, B.V., 2015. "Critical behavior of the site diluted quantum anisotropic Heisenberg model in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 579-585.
    • Handle: RePEc:eee:phsmap:v:438:y:2015:i:c:p:579-585
    DOI: 10.1016/j.physa.2015.06.029
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