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Phys. Rev. B 50, 15803–15807 (1994)

Numerical study of a two-dimensional quantum antiferromagnet with random ferromagnetic bonds

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Anders W. Sandvik
Department of Physics, University of California, Santa Barbara, California 93106

Received 22 July 1994; published in the issue dated 1 December 1994

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 10%. The effects of a low concentration of ferromagnetic bonds on the antiferromagnetism are discussed.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.50.15803
DOI:
10.1103/PhysRevB.50.15803
PACS:
75.10.Jm, 75.10.Nr, 75.40.Mg