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

Abstract

We have solved the negative-sign problem in a general frustrated double-spin-chain system, namely the $J_0$-$J_1$-$J_2$-$J_3$ model. This is made possible by changing the representation basis from the conventional $s^z$ basis to a dimer basis that has the spin-reversal symmetry. The necessary condition for the problem to disappear in this new basis is $J_0{+J}_1<~J_3$. Frustration is the origin only in the conventional $s^z$ basis. We demonstrate the efficiency of this new basis at the transition point between the gapless spin-fluid phase and the gapped dimer phase.