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

Journal Article · Thu Dec 01 00:00:00 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), Vol. 50:21; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

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