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Numerical Study of a Two-Dimensional Quantum Antiferromagnet with Random Ferromagnetic Bonds

Condensed Matter 2009-10-22 v1

Abstract

A Monte Carlo method for finite-temperature studies of the two-dimensional quantum Heisenberg antiferromagnet with random ferromagnetic bonds is presented. The scheme is based on an approximation which allows for an analytic summation over the realizations of the randomness, thereby significantly alleviating the ``sign problem'' for this frustrated spin system. The approximation is shown to be very accurate for ferromagnetic bond concentrations of up to ten percent. The effects of a low concentration of ferromagnetic bonds on the antiferromagnetism are discussed.

Keywords

Cite

@article{arxiv.cond-mat/9407088,
  title  = {Numerical Study of a Two-Dimensional Quantum Antiferromagnet with Random Ferromagnetic Bonds},
  author = {A. Sandvik},
  journal= {arXiv preprint arXiv:cond-mat/9407088},
  year   = {2009}
}

Comments

11 pages + 5 postscript figures (included), Revtex 3.0, UCSBTH-94-23