Biexciton Condensation in Electron-Hole-Doped Hubbard Bilayers: A Sign-Problem-Free Quantum Monte Carlo Study

Xu-Xin Huang, Martin Claassen, Edwin W. Huang, Brian Moritz, and Thomas P. Devereaux
Phys. Rev. Lett. 124, 077601 – Published 19 February 2020
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Abstract

The bilayer Hubbard model with electron-hole doping is an ideal platform to study excitonic orders due to suppressed recombination via spatial separation of electrons and holes. However, suffering from the sign problem, previous quantum Monte Carlo studies could not arrive at an unequivocal conclusion regarding the presence of phases with clear signatures of excitonic condensation in bilayer Hubbard models. Here, we develop a determinant quantum Monte Carlo algorithm for the bilayer Hubbard model that is sign-problem-free for equal and opposite doping in the two layers and study excitonic order and charge and spin density modulations as a function of chemical potential difference between the two layers, on-site Coulomb repulsion, and interlayer interaction. In the intermediate coupling regime and in proximity to the SU(4)-symmetric point, we find a biexcitonic condensate phase at finite electron-hole doping, as well as a competing (π,π) charge density wave state. We extract the Berezinskii-Kosterlitz-Thouless transition temperature from superfluid density and a finite-size scaling analysis of the correlation functions and explain our results in terms of an effective biexcitonic hard-core boson model.

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  • Received 12 July 2019
  • Accepted 14 January 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.077601

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Xu-Xin Huang1,2, Martin Claassen3, Edwin W. Huang2,4, Brian Moritz2,5, and Thomas P. Devereaux2,6,7

  • 1Department of Applied Physics, Stanford University, Stanford, California 94305, USA
  • 2Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory and Stanford University, 2575 Sand Hill Road, Menlo Park, California 94025, USA
  • 3Center for Computational Quantum Physics, Flatiron Institute, Simons Foundation, 162 5th Avenue, New York, New York 10010, USA
  • 4Department of Physics, Stanford University, Stanford, California 94305, USA
  • 5Department of Physics and Astrophysics, University of North Dakota, Grand Forks, North Dakota 58202, USA
  • 6Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, USA
  • 7Geballe Laboratory for Advanced Materials, Stanford University, Stanford, California 94305, USA

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Issue

Vol. 124, Iss. 7 — 21 February 2020

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