Self-adapting method for the localization of quantum critical points using Quantum Monte Carlo techniques

Details Self-adapting method for the localization of quantum critical points using Quantum Monte Carlo techniques Self-adapting method for the localization of quantum critical points using Quantum Monte Carlo techniques

2001-10-15

arxiv.org/abs/cond-mat/0110294v3

Phys. Rev. B 65, 092408 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures, published version

Scientific paper

10.1103/PhysRevB.65.092408

A generalization to the quantum case of a recently introduced algorithm (Y. Tomita and Y. Okabe, Phys. Rev. Lett. {\bf 86}, 572 (2001)) for the determination of the critical temperature of classical spin models is proposed. We describe a simple method to automatically locate critical points in (Quantum) Monte Carlo simulations. The algorithm assumes the existence of a finite correlation length in at least one of the two phases surrounding the quantum critical point. We illustrate these ideas on the example of the critical inter-chain coupling for which coupled antiferromagnetic S=1 spin chains order at T=0. Finite-size scaling relations are used to determine the exponents, $\nu=0.72(2)$ and $\eta=0.038(3)$ in agreement with previous estimates.

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