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  • Letter

Order by disorder in frustration-free systems: Quantum Monte Carlo study of a two-dimensional PXP model

Mingxi Yue1,*, Zijian Wang1,2,*, Bhaskar Mukherjee1,3, and Zi Cai1,4,5,†

  • 1Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Zhiyuan College, Shanghai Jiao Tong University, Shanghai 200240, China
  • 3Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
  • 4Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 5Shanghai Research Center for Quantum Sciences, Shanghai 201315, China

  • *These authors contributed equally to this work.
  • †zcai@sjtu.edu.cn
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Phys. Rev. B 103, L201113 – Published 18 May, 2021

DOI: https://doi.org/10.1103/PhysRevB.103.L201113

Abstract

In this study, an order-by-disorder mechanism has been proposed in a two-dimensional PXP model, where the extensive degeneracy of the classical ground-state manifold is due to strict occupation constraints instead of geometrical frustrations. By performing an unbias large-scale quantum Monte Carlo simulation, we find that local quantum fluctuations, which usually work against long-range ordering, lift the macroscopic classical degeneracy and give rise to a compressible ground state with charge-density-wave long-range order. A simple trial wave function has been proposed to capture the essence of the ground-state of the two-dimensional PXP model. The finite-temperature properties of this model have also been studied, and we find a thermal phase transition with a universality class of a two-dimensional Ising model.

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Phys. Rev. B 103, L201113– Published 18 May, 2021
  • Received 1 April 2021
  • Revised 4 May 2021
  • Accepted 6 May 2021
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