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Superfluidity in topologically nontrivial flat bands
TLDR
The results establish that a topologically nontrivial flat band is a promising concept for increasing the critical temperature of the superconducting transition and provides Ds for the time-reversal invariant attractive Harper–Hubbard model that can be experimentally tested in ultracold gases.
Effective theory and emergent SU(2) symmetry in the flat bands of attractive Hubbard models
In a partially filled flat Bloch band electrons do not have a well defined Fermi surface and hence the low-energy theory is not a Fermi liquid. Neverethless, under the influence of an attractive
Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band.
TLDR
It is shown that the superfluid weight can be large even for an isolated and strictly flat band, proportional to the interaction strength and to the quantum metric, a band structure quantity derived solely from the flat-band Bloch functions.
Quantum metric and effective mass of a two-body bound state in a flat band
We consider two-body bound states in a flat band of a multiband system. The existence of pair dispersion predicts the possibility of breaking the degeneracy of the band and creating order, such as
Band geometry, Berry curvature and superfluid weight
We present a theory of the superfluid weight in multiband attractive Hubbard models within the Bardeen-Cooper-Schrieffer (BCS) mean-field framework. We show how to separate the geometric contribution
Superconducting Memristors
In his original work Josephson predicted that a phase-dependent conductance should be present in superconducting tunnel junctions, an effect difficult to detect, mainly because it is hard to single
Quantum transport in ultracold atoms
Ultracold atoms confined by engineered magnetic or optical potentials are ideal to study phenomena otherwise difficult to realize or probe in the solid state, thanks to the ability to control the
Preformed pairs in flat Bloch bands
In a flat Bloch band the kinetic energy is quenched and single particles cannot propagate since they are localized due to destructive interference. Whether this remains true in the presence of
Wave packet dynamics of Bogoliubov quasiparticles: quantum metric effects
We study the dynamics of the Bogoliubov wave packet in superconductors and calculate the supercurrent carried by the wave packet. We discover an anomalous contribution to the supercurrent, related to
Quantum shock waves and population inversion in collisions of ultracold atomic clouds
Using Time-Dependent Density Matrix Renormalization Group (TDMRG) we study the collision of one-dimensional atomic clouds confined in a harmonic trap and evolving with the Lieb-Liniger Hamiltonian.
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