Monte Carlo studies on frustrated quantum spin systems by a new approach to the negative-sign problem: Transfer-matrix Monte Carlo method

Seiji Miyashita; Tota Nakamura

doi:10.1142/S0129183196000375

Monte Carlo studies on frustrated quantum spin systems by a new approach to the negative-sign problem: Transfer-matrix Monte Carlo method

Research output: Contribution to journal › Article › peer-review

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 Δ-chain and on the kagome lattice, and also to the Kondo lattice system also are given.

Original language	English
Pages (from-to)	425-431
Number of pages	7
Journal	International Journal of Modern Physics C
Volume	7
Issue number	3
DOIs	https://doi.org/10.1142/S0129183196000375
Publication status	Published - 1996 Jun
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)
Computer Science Applications
Computational Theory and Mathematics

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10.1142/S0129183196000375

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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 Δ-chain and on the kagome lattice, and also to the Kondo lattice system also are given.",

author = "Seiji Miyashita and Tota Nakamura",

year = "1996",

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Monte Carlo studies on frustrated quantum spin systems by a new approach to the negative-sign problem: Transfer-matrix Monte Carlo method

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