MONTE CARLO STUDIES ON FRUSTRATED QUANTUM SPIN SYSTEMS BY A NEW APPROACH TO THE NEGATIVE-SIGN PROBLEM: TRANSFER-MATRIX MONTE CARLO METHOD

Seiji Miyashita and Tota Nakamura
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Seiji Miyashita: Department of Earth and Space Science, Faculty of Science, Osaka University, Machikaneyama-cho 1-1, Toyonaka 560, Japan
Tota Nakamura: Department of Applied Physics, Faculty of Engineering, Tohoku University, Aoba, Sendai 980, Japan

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 03, 425-431

Abstract: A new technique for the negative sign problem in the quantum Monte Carlo method using the Suzuki-Trotter decomposition is introduced. In order to reduce the cancellation between between samples with positive and negative weights, we make use of the transfer matrix method, which has been named the Transfer-Matrix Monte Carlo method. Applications to the Heisenberg antiferromagnet on the ∆-chain and on the kagome lattice, and also to the Kondo lattice system also are given.

Date: 1996
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DOI: 10.1142/S0129183196000375

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