Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 73, Issue 6, Pages 1379-1414Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.73.1379
Keywords
quantum spin system; Heisenberg model; quantum Monte Carlo; XY model; XXZ model; cluster algorithm; loop algorithm; worm algorithm; directed-loop algorithm; world-line method
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World-line quantum Monte Carlo methods are reviewed with an emphasis on breakthroughs made in recent years. In particular, three algorithms - the loop algorithm, the worm algorithm, and the directed-loop algorithm - for updating world-line configurations are presented in a unified perspective. Detailed descriptions of the algorithms in specific cases are also given.
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