Superconducting Transitions in Flat Band Systems

Abstract

The physics of strongly correlated quantum particles within a flat band was originally explored as a route to itinerant ferromagnetism and, indeed, a celebrated theorem by Lieb rigorously establishes that the ground state of the repulsive Hubbard model on a bipartite lattice with unequal number of sites in each sublattice must have nonzero spin S at half-filling. Recently, there has been interest in Lieb geometries due to the possibility of novel topological insulator, nematic, and Bose-Einstein condensed (BEC) phases. In this paper, we extend the understanding of the attractive Hubbard model on the Lieb lattice by using Determinant Quantum Monte Carlo to study real space charge and pair correlation functions not addressed by the Lieb theorems.

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Cited by in corpus (62)

• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Artificial flat band systems: from lattice models to experiments
• Topological flat bands in frustrated kagome lattice CoSn
• Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
• Geometric origin of superfluidity in the Lieb lattice flat band
• Topological states in engineered atomic lattices
• Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
• Quantum states and intertwining phases in kagome materials
• Fragile topology and flat-band superconductivity in the strong-coupling regime
• Geometry Dependence of the Sign Problem
• Superconductivity, pseudogap, and phase separation in topological flat bands: a quantum Monte Carlo study
• Realization of robust boundary modes and non-contractible loop states in photonic Kagome lattices
• Pairing and superconductivity in the flat band: Creutz lattice
• Flat bands by latent symmetry
• Interaction-Enhanced Group Velocity of Bosons in the Flat Band of an Optical Kagome Lattice
• Electronic structure of the putative room-temperature superconductor Pb${}_9$Cu(PO${}_4$)${}_6$O
• Realizing topological surface states in a lower-dimensional flat band
• Electron-Phonon Interactions in Flat Band Systems
• Origin of flat-band superfluidity on the Mielke checkerboard lattice
• Magnetism in the three-dimensional layered Lieb lattice: Enhanced transition temperature via flat-band and Van Hove singularities
• Experimental Realization of Two-Dimensional Buckled Lieb lattice
• Geometry and superfluidity of the flat band in a non-Hermitian optical lattice
• Flat band superconductivity in a system with a tunable quantum metric : the stub lattice
• Localized dynamics arising from multiple flat bands in a decorated photonic Lieb lattice
• Strain induced superconductor-insulator transition on Lieb lattice
• Designing pretty good state transfer via isospectral reductions
• Spontaneous particle-hole symmetry breaking of correlated fermions on the Lieb lattice
• Modified interlayer stacking and insulator to correlated-metal transition driven by uniaxial strain in 1$T$-TaS${}_2$
• Superfluid density and collective modes of fermion superfluid in dice lattice
• Enhanced correlations and superconductivity in weakly interacting partially flat band systems: a determinantal quantum Monte Carlo study
• Spin Excitations and Flat Electronic Bands in a Cr-based Kagome Superconductor
• Magnetization, d-wave superconductivity and non-Fermi liquid behavior in a crossover from dispersive to flat bands
• Kondo-lattice-mediated interactions in flat band systems
• Collective amplitude mode fluctuations in a flat band superconductor
• Infinite bound states and hydrogen atom-like energy spectrum induced by a flat band
• Infinite bound states and $1/n$ energy spectrum induced by a Coulomb-like potential of type III in a flat band system
• Proposed realization of critical regions in a one-dimensional flat band lattice with a quasi-periodic potential
• Disorder in interacting quasi-one-dimensional systems: flat and dispersive bands
• Superconducting proximity effect in flat band systems
• Bound states in the continuum (BIC) protected by self-sustained potential barriers in a flat band system
• Robustness of flat band superconductivity against disorder in a two-dimensional Lieb lattice model
• Excitation spectra of strongly interacting bosons in the flat-band Lieb lattice
• Superconductivity with Wannier-Stark Flat Bands
• Flat-band hybridization between $f$ and $d$ states near the Fermi energy of SmCoIn${}_5$
• Insulator-pseudogap crossover in the Lieb lattice
• Trapping Hard-Core Bosons in Flatband Lattices
• Ground state spin and excitation energies in half-filled Lieb lattices
• Breathing-Driven Metal-Insulator Transition in Correlated Kagome Systems
• Exact mobility line and mobility ring in the complex energy plane of a flat band lattice with a non-Hermitian quasiperiodic potential
• Marginally localized edges of time-reversal symmetric topological superconductors
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• Altermagnetism and its induced higher-order topology on the Lieb lattice
• Flat band effects on the ground-state BCS-BEC crossover in atomic Fermi gases in a quasi-two-dimensional Lieb lattice
• Optical Signature of Flat Bands in Topological Hourglass Semimetal Nb3SiTe6
• Flat bands in tight-binding lattices with anisotropic potentials
• Selective band interaction and long-range hopping in a structured environment with giant atoms
• Nanoscale Modulation of Flat Bands via Controllable Charge-Density-Waves Defects in 4Hb-TaS2
• Evolution of magnetic correlation in an inhomogeneous square lattice
• Flat bands on spherical surface: from Landau levels to giant-quantum-number orbitals
• Symmetry-Based Real-Space Framework for Realizing Flat Bands and Unveiling Nodal-Line Touchings
• Dissipation-Driven Transition of Particles from Dispersive to Flat Bands
• Orbital Limit and Gaussian Fluctuation Effects in Flat Band Superconductors with PseudoMagnetic Fields