Quantum Geometric Kohn-Luttinger Superconductivity

Abstract

Coulomb repulsion can, counterintuitively, mediate Cooper pairing via the Kohn-Luttinger mechanism. However, it is commonly believed that observability of the effect requires special circumstances -- e.g., vicinity of the Fermi level to van Hove singularities, significant lattice-induced band distortions, or non-trivial Fermi surface topologies. Here we establish that quantum geometric properties of the constituent electrons can dramatically promote pairing from repulsion via dependence of screening on the quantum metric. We demonstrate quantum-geometry-enhanced superconductivity in two microscopic models with tunable quantum geometry, highlighting the crucial roles of quantum metric anisotropy and inhomogeneity. Our analysis provides an experimentally accessible figure of merit for the importance of quantum geometry to inducing unconventional superconductivity, indicating its relevance to graphene multilayers.

Published version

References in corpus (55)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• The electronic properties of bilayer graphene
• Chiral superconductivity from repulsive interactions in doped graphene
• Superfluidity in topologically nontrivial flat bands
• Superconductivity in rhombohedral trilayer graphene
• Band Structure of ABC-Stacked Graphene Trilayers
• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
• Band geometry of fractional topological insulators
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Trigonal warping and Berry's phase N pi in ABC-stacked multilayer graphene
• Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
• Spin-Orbit Enhanced Superconductivity in Bernal Bilayer Graphene
• Geometric and conventional contribution to superfluid weight in twisted bilayer graphene
• Accurate tight-binding and continuum models for the $\pi$ bands of bilayer graphene
• Fractional Chern Insulator in Twisted Bilayer MoTe${}_2$
• Kohn-Luttinger superconductivity in graphene
• Superconductivity in twisted bilayer WSe${}_2$
• Fractional quantum anomalous Hall states in twisted bilayer MoTe${}_2$ and WSe${}_2$
• Chiral magnetic effect and natural optical activity in (Weyl) metals
• Superconductivity and strong interactions in a tunable moiré quasiperiodic crystal
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Superfluid weight bounds from symmetry and quantum geometry in flat bands
• Geometric stability of topological lattice phases
• Coulomb interaction, phonons, and superconductivity in twisted bilayer graphene
• Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
• Renormalization group flow, competing phases, and the structure of superconducting gap in multi-band models of Iron based superconductors
• Tunable superconductivity in electron- and hole-doped Bernal bilayer graphene
• Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
• Pressure--enhanced fractional Chern insulators in moiré transition metal dichalcogenides along a magic line
• Fractional (Chern and topological) insulators
• Acoustic-phonon-mediated superconductivity in Bernal bilayer graphene
• Superconductivity from repulsive interaction
• Superconductivity, charge density wave, and supersolidity in flat bands with tunable quantum metric
• Contrasting lattice geometry dependent versus independent quantities: ramifications for Berry curvature, energy gaps, and dynamics
• Bound on resistivity in flat-band materials due to the quantum metric
• Superconductivity in Twisted Double Bilayer Graphene Stabilized by WSe${}_2$
• The quantum geometric origin of capacitance in insulators
• The Ginzburg-Landau theory of flat band superconductors with quantum metric
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• Superconductivity from repulsive interactions in the two dimensional electron gas
• Topological Lattice Models with Constant Berry Curvature
• Nematicity and Orbital Depairing in Superconducting Bernal Bilayer Graphene with Strong Spin Orbit Coupling
• Quantum Geometry and Stability of Moiré Flatband Ferromagnetism
• Parent Berry curvature and the ideal anomalous Hall crystal
• Heuristic bounds on superconductivity and how to exceed them
• Pair Density Waves from Local Band Geometry
• Quantum-geometry-induced anapole superconductivity
• Quantum geometric effect on Fulde-Ferrell-Larkin-Ovchinnikov superconductivity
• Spin-triplet superconductivity from quantum-geometry-induced ferromagnetic fluctuation
• Pair density wave facilitated by Bloch quantum geometry in nearly flat band multiorbital superconductors
• Quantum Geometry and Stabilization of Fractional Chern Insulators Far from the Ideal Limit
• Superconductivity from repulsive interactions in Bernal-stacked bilayer graphene
• Inducing superconductivity in bilayer graphene by alleviation of the Stoner blockade
• Superconductivity in Engineered Two-Dimensional Electron Gases

Cited by in corpus (16)

• Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
• Enhanced Kohn-Luttinger topological superconductivity in bands with nontrivial geometry
• Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
• Spontaneous vortex-antivortex lattice and Majorana fermions in rhombohedral graphene
• Chiral superconductivity from spin polarized Chern band in twisted MoTe${}_2$
• Quantum geometric origin of the Meissner effect and superfluid weight marker
• Functional approach to superfluid stiffness: Role of quantum geometry in unconventional superconductivity
• Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor
• False Vacuum Decay in Flat-Band Ferromagnets: Role of Quantum Geometry and Chiral Edge States
• Nematic Enhancement of Superconductivity in Multilayer Graphene via Quantum Geometry
• Quantum geometry in correlated electron phases: from flat band to dispersive band
• Superconductivity from phonon-mediated retardation in a single-flavor metal
• Family of multilayer graphene superconductors with tunable chirality: Momentum-space vortices nucleated by a ring of Berry curvature
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh${}_2$As${}_2$
• Spin-triplet paired Wigner crystal stabilized by quantum geometry
• Probing the Quantum Geometry of Correlated Metals using Optical Conductivity