Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux

doi:10.1088/1674-1056/27/1/010204

Abstract The quantum phase of hard-core bosons in Creutz ladder with zero flux is studied. For a specific regime of the parameters (t_x=t_p, t_y<0), the exact ground-state is found analytically, which is a dimerized insulator with one electron bound in each rung of the ladder. For the case t_x,t_y,t_p>0, the system is exactly studied using quantum Monte Carlo (QMC) method without a sign problem. It is found that the system is a Mott insulator for small t_p and a quantum phase transition to a superfluid phase is driven by increasing t_p. The critical t_p^c is determined precisely by a scaling analysis. Since it is possible that the Creutz ladder is realized experimentally, the theoretical results are interesting to the cold-atom experiments.

Keywords: quantum Monte Carlo method Creutz ladder Mott insulator

Received: 13 April 2017
Revised: 12 September 2017
Accepted manuscript online:

PACS:	02.70.Ss	(Quantum Monte Carlo methods)
	05.30.Rt	(Quantum phase transitions)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11274032, 11774019, 51472016, and 51672018).

Corresponding Authors: Huaiming Guo
E-mail: hmguo@buaa.edu.cn

Cite this article:

Yang Lin(林洋), Weichang Hao(郝维昌), Huaiming Guo(郭怀明) Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux 2018 Chin. Phys. B 27 010204

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Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux

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