Superconducting pairing from repulsive interactions of fermions in a flat-band system

Abstract

Fermion systems with flat bands can boost superconductivity by enhancing the density of states at the Fermi level. We use quasiexact numerical methods to show that repulsive interactions between spinless fermions in a one-dimensional (1D) flat-band system, the Creutz ladder, give a finite pairing energy that increases with repulsion, though charge quasi-order (QO) remains dominant. Adding an attractive component shifts the balance in favor of superconductivity and the interplay of two flat bands further yields a remarkable enhancement of superconductivity, well outside of known paradigms for 1D fermions.

References in corpus (31)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• Moire bands in twisted double-layer graphene
• Entanglement entropy and conformal field theory
• Observation of a localized flat-band state in a photonic Lieb lattice
• Superfluidity in topologically nontrivial flat bands
• High-temperature surface superconductivity in topological flat-band systems
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Superconductivity in rhombohedral trilayer graphene
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Bose condensation in flat bands
• End states, ladder compounds, and domain wall fermions
• High-temperature surface superconductivity in rhombohedral graphite
• Matrix Product State applications for the ALPS project
• Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands
• Geometry induced pair condensation
• Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice
• Pairing and superconductivity in the flat band: Creutz lattice
• Topological degeneracy and pairing in a one-dimensional gas of spinless Fermions
• Controlling Dipolar Exchange Interactions in a Dense 3D Array of Large Spin Fermions
• Flat band in topological matter: possible route to room-temperature superconductivity
• Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity
• Universal phase diagrams with superconducting domes for electronic flat bands
• Hidden string order in a hole-superconductor with extended correlated hopping
• Two-fluid coexistence in a spinless fermions chain with pair hopping
• Pairing in spin chains and spinless fermions with next-nearest neighbour interactions
• Enhanced repulsively bound atom pairs in topological optical lattice ladders
• Two-fluid coexistence and phase separation in a one dimensional model with pair hopping and density interactions

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• Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level
• Phase diagram of a coupled trimer system at half filling using the Hubbard model