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Anisotropic Harper-Hofstadter-Mott model: Competition between condensation and magnetic fields

  • Hügel, Dario Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universität München, Germany
  • Strand, Hugo U. R. Department of Quantum Matter Physics, University of Geneva, Switzerland - Department of Physics, University of Fribourg, Switzerland
  • Werner, Philipp Department of Physics, University of Fribourg, Switzerland
  • Pollet, Lode Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universität München, Germany
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    22.08.2017
Published in:
  • Physical Review B. - 2017, vol. 96, no. 5, p. 054431
English We derive the reciprocal cluster mean-field method to study the strongly interacting bosonic Harper-Hofstadter-Mott model. The system exhibits a rich phase diagram featuring band insulating, striped superfluid, and supersolid phases. Furthermore, for finite hopping anisotropy, we observe gapless uncondensed liquid phases at integer fillings, which are analyzed by exact diagonalization. The liquid phases at fillings ν=1,3 exhibit the same band fillings as the fermionic integer quantum Hall effect, while the phase at ν=2 is CT-symmetric with zero charge response. We discuss how these phases become gapped on a quasi-one-dimensional cylinder, leading to a quantized Hall response, which we characterize by introducing a suitable measure for nontrivial many-body topological properties. Incompressible metastable states at fractional filling are also observed, indicating competing fractional quantum Hall phases. The combination of reciprocal cluster mean-field and exact diagonalization yields a promising method to analyze the properties of bosonic lattice systems with nontrivial unit cells in the thermodynamic limit.
Faculty
Faculté des sciences et de médecine
Department
Département de Physique
Language
  • English
Classification
Physics
License
License undefined
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Persistent URL
https://folia.unifr.ch/unifr/documents/306052
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