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

Journal Article · Wed Nov 30 23:00:00 EST 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.50.15803· OSTI ID:7098623

Sandvik, A W ^[1]

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1. Department of Physics, University of California, Santa Barbara, California 93106 (United States)

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.

• DOE Contract Number: FG03-85ER45197
• OSTI ID: 7098623
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 50:21; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTIFERROMAGNETIC MATERIALS
BOND LENGTHS
CALCULATION METHODS
COMPUTERIZED SIMULATION
CRYSTAL MODELS
DIMENSIONS
HEISENBERG MODEL
HIGH-TC SUPERCONDUCTORS
LENGTH
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
MECHANICS
MONTE CARLO METHOD
QUANTUM MECHANICS
RANDOMNESS
SIMULATION
SUPERCONDUCTORS
TWO-DIMENSIONAL CALCULATIONS