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Quantum Monte Carlo loop algorithm for the t − J model

1998; American Physical Society; Volume: 58; Issue: 8 Linguagem: Inglês

10.1103/physrevb.58.4304

1095-3795

Beat Ammon, Hans Gerd Evertz, Naoki Kawashima, Matthias Troyer, Beat Frischmuth,

Quantum many-body systems

We propose a generalization of the quantum Monte Carlo loop algorithm to the $t\ensuremath{-}J$ model by a mapping to three coupled six-vertex models. The autocorrelation times are reduced by orders of magnitude compared to the conventional local algorithms. The method is completely ergodic and can be formulated directly in continuous time. We introduce improved estimators for simulations with a local sign problem. Some first results of finite-temperature simulations are presented for a $t\ensuremath{-}J$ chain, a frustrated Heisenberg chain, and $t\ensuremath{-}J$ ladder models.