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Vanishing of the negative-sign problem of quantum Monte Carlo simulations in one-dimensional frustrated spin systems

Tota Nakamura
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Abstract

The negative-sign problem in one-dimensional frustrated quantum spin systems is solved. We can remove negative signs of the local Boltzmann weights by using a dimer basis that has the spin-reversal symmetry. Validity of this new basis is checked in a general frustrated double-spin-chain system, namely the J_0-J_1-J_2-J_3 model. The negative sign vanishes perfectly for $J_0 + J_1 \leq J_3$.

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Tota Nakamura. 1997-07-02. Vanishing of the negative-sign problem of quantum Monte Carlo simulations in one-dimensional frustrated spin systems. https://doi.org/10.1103/physrevb.57.r3197

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