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Chin. Phys. B, 2018, Vol. 27(1): 010204    DOI: 10.1088/1674-1056/27/1/010204
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Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux

Yang Lin(林洋), Weichang Hao(郝维昌), Huaiming Guo(郭怀明)
Department of Physics, Key Laboratory of Micro-Nano Measurement-Manipulation and Physics(Ministry of Education), Beihang University, Beijing 100191, China
Abstract  The quantum phase of hard-core bosons in Creutz ladder with zero flux is studied. For a specific regime of the parameters (tx=tp, ty<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 tx,ty,tp>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 tp and a quantum phase transition to a superfluid phase is driven by increasing tp. The critical tpc 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:

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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