Superconductivity with Wannier-Stark Flat Bands
arXiv:2307.09791 · doi:10.1103/PhysRevB.109.075153
Abstract
We investigate superconducting transport in the DC field induced Wannier-Stark flat bands in the presence of interactions. Flat bands offer the possibility of unconventional high temperature superconductivity, where the superfluid weight, , is enhanced by the density overlap of the localized states. However, construction of flat bands typically requires very precise tuning of Hamiltonian parameters. To overcome this difficulty, we propose a feasible alternative to realize flat bands by applying a DC field in a commensurate lattice direction. We systematically characterize the superconducting behavior on these flat bands by studying the effect of the DC field and attractive Hubbard interaction strengths on the wavefunction, correlation length, pairing order parameter and the superfluid weight . Our main result is that the superfluid weight is dramatically enhanced at an optimal value of the interaction strength and weak DC fields.
References in corpus (41)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Observation of bound states in Lieb photonic lattices
- Superfluidity in topologically nontrivial flat bands
- Artificial flat band systems: from lattice models to experiments
- High-temperature surface superconductivity in topological flat-band systems
- Aharonov-Bohm cages in two-dimensional structures
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Geometric origin of superfluidity in the Lieb lattice flat band
- Superfluidity and Quantum Geometry in Twisted Multilayer Systems
- Flat bands in topological media
- Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
- Bose condensation in flat bands
- Strain-induced partially flat band, helical snake states, and interface superconductivity in topological crystalline insulators
- Atom interferometry with trapped Fermi gases
- Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
- Fragile topology and flat-band superconductivity in the strong-coupling regime
- Magnetic field induced localization in a two-dimensional superconducting wire network
- Effective theory and emergent symmetry in the flat bands of attractive Hubbard models
- Superconducting Transitions in Flat Band Systems
- Preformed pairs in flat Bloch bands
- High-temperature surface superconductivity in rhombohedral graphite
- Coherent Delocalization of Atomic Wave Packets in Driven Lattice Potentials
- Evidence for a superfluid density in t--J ladders
- Boson and fermion dynamics in quasi-one-dimensional flat band lattices
- Flat band superconductivity in strained Dirac materials
- Optical Spectral Weight, Phase Stiffness and Tc Bounds for Trivial and Topological Flat Band Superconductors
- Pairing and superconductivity in the flat band: Creutz lattice
- Universal flatband generator from compact localized states
- Flatband generator in two dimensions
- Designer Flat Bands in Quasi-One-Dimensional Atomic Lattices
- Variational Principle of Bogoliubov and Generalized Mean Fields in Many-Particle Interacting Systems
- Universal phase diagrams with superconducting domes for electronic flat bands
- Topological flat Wannier-Stark bands
- Pairing and superconductivity in quasi one-dimensional flat band systems: Creutz and sawtooth lattices
- General construction of flat bands with and without band crossings based on wave function singularity
- Designer Flat Bands: Topology and Enhancement of Superconductivity
- Flat band superconductivity in a system with a tunable quantum metric : the stub lattice
- Haldane phase in the sawtooth lattice: Edge states, entanglement spectrum and the flat band
- Suppression of non-equilibrium quasiparticle transport in flat band superconductors
- Wannier-Stark flatbands in Bravais lattices
- Anti- flatbands