Berezinskii-Kosterlitz-Thouless transition in the time-reversal-symmetric Hofstadter-Hubbard model
arXiv:1710.07495 · doi:10.1103/PhysRevA.97.013618
Abstract
Assuming that two-component Fermi gases with opposite artificial magnetic fields on a square optical lattice are well-described by the so-called time-reversal-symmetric Hofstadter-Hubbard model, we explore the thermal superfluid properties along with the critical Berezinskii-Kosterlitz-Thouless (BKT) transition temperature in this model over a wide-range of its parameters. In particular, since our self-consistent BCS-BKT approach takes the multi-band butterfly spectrum explicitly into account, it unveils how dramatically the inter-band contribution to the phase stiffness dominates the intra-band one with an increasing interaction strength for any given magnetic flux.
arXiv comment9 pages with 3 figures; to appear in PRA
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- Geometric mass acquisition via quantum metric: an effective band mass theorem for the helicity bands
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- Superfluid stiffness for the attractive Hubbard model on a honeycomb optical lattice
- Coherence length and quantum geometry in a dilute flat-band superconductor
- Structure factors and quantum geometry in multiband BCS superconductors
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