Hofstadter-Hubbard model with opposite magnetic fields: Bardeen-Cooper-Schrieffer pairing and superfluidity in the nearly flat butterfly bands
arXiv:1709.00767 · doi:10.1103/PhysRevA.96.043628
Abstract
Despite the multi-band spectrum of the widely-known Hofstadter butterfly, it turns out that the pairing correlations of the time-reversal-symmetric Hofstadter-Hubbard model are well-described by a single order parameter that is uniform in real space. By exploiting a BCS mean-field theory for the nearly-flat butterfly-bands regime of low magnetic-flux limit, here we reveal a number of unusual superfluid properties both in the ground state and at finite temperatures. Our thorough analysis includes but is not limited to the order parameter, condensate and superfluid fractions, and the critical BCS and BKT transition temperatures.
arXiv comment7 pages with 1 figure; to appear in PRA
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Cited by in corpus (8)
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- Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model
- Tuning the topological insulator states of artificial graphene
- Berezinskii-Kosterlitz-Thouless transition in the time-reversal-symmetric Hofstadter-Hubbard model
- Superconductivity in a Topological Lattice Model with Strong Repulsion
- Two-dimensional imbalanced Fermi gas in antiparallel magnetic fields