Quantum geometric effect on Fulde-Ferrell-Larkin-Ovchinnikov superconductivity

Abstract

Quantum geometry characterizes the geometric properties of Bloch electrons in the wave space, represented by the quantum metric and the Berry curvature. Recent studies have revealed that the quantum geometry plays a major role in various physical phenomena, from multipole to non-Hermitian physics. For superconductors, the quantum geometry is clarified to appear in the superfluid weight, an essential quantity of superconductivity. Although the superfluid weight was considered to be determined by the Fermi-liquid contribution for a long time, the geometric contribution is not negligible in some superconductors such as artificial flat-band systems and monolayer FeSe. While the superfluid weight is essential for many superconducting phenomena related to the center of mass momenta of Cooper pairs (CMMCP), the full scope of the quantum geometric effect on superconductivity remains unresolved. In this paper, we study the quantum geometric effect on the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state acquiring a finite CMMCP in equilibrium. As a benchmark, the phase diagrams of effective models for monolayer FeSe in an in-plane magnetic field are calculated. In the case of the isotropic $s$-wave pairing, the quantum geometry stabilizes the BCS state, and a metastable BCS state appears in the high magnetic field region. In addition, the quantum geometry induces the phase transition from the FFLO state to the BCS state with increasing temperature. On the other hand, for the inter-sublattice pairing, the quantum geometry gives a negative contribution to the superfluid weight; this can induce the FFLO superconductivity in particular parameter sets.

arXiv comment19 pages, 9 figures

References in corpus (78)

• Topological Insulators
• Topological insulators and superconductors
• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Berry Phase Effects on Electronic Properties
• Maximally-localized generalized Wannier functions for composite energy bands
• Anomalous Hall effect
• Interface induced high temperature superconductivity in single unit-cell FeSe films on SrTiO3
• Phase Diagram and High Temperature Superconductivity at 65 K in Tuning Carrier Concentration of Single-Layer FeSe Films
• Kinetic frustration and the nature of the magnetic and paramagnetic states in iron pnictides and iron chalcogenides
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3
• Superfluidity in topologically nontrivial flat bands
• A minimal two-band model for the superconducting Fe-pnictides
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
• Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
• Geometric origin of superfluidity in the Lieb lattice flat band
• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
• The Insulating State of Matter: A Geometrical Theory
• Topological nature of FeSe${}_{0.5}$Te${}_{0.5}$ superconductor
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Band geometry, Berry curvature and superfluid weight
• Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
• Phonon-enhanced superconductivity at the FeSe/SrTiO3 interface
• Topological superconductivity on the surface of Fe-based superconductors
• Electric-field-induced superconductivity in electrochemically-etched ultrathin FeSe films on SrTiO3 and MgO
• Theoretical evidence for strong correlations and incoherent metallic state in FeSe
• Low-frequency divergence and quantum geometry of the bulk photovoltaic effect in topological semimetals
• Exact Landau Level Description of Geometry and Interaction in a Flatband
• Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
• Geometric and conventional contribution to superfluid weight in twisted bilayer graphene
• Unusual band renormalization in the simplest iron based superconductor
• Monolayer FeSe on SrTiO${}_3$
• Plain s-wave superconductivity in single-layer FeSe on SrTiO3 probed by scanning tunneling microscopy
• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• Relations between topology and the quantum metric for Chern insulators
• Geometric orbital susceptibility: quantum metric without Berry curvature
• Fragile topology and flat-band superconductivity in the strong-coupling regime
• Inter-pocket pairing and gap symmetry in Fe-based superconductors with only electron pockets
• Giant superconducting fluctuations in the compensated semimetal FeSe at the BCS-BEC crossover
• Superfluid weight bounds from symmetry and quantum geometry in flat bands
• How to Measure the Quantum Geometry of Bloch Bands
• Electric field-induced superconducting transition of insulating FeSe thin film at 35 K
• Evidence for an FFLO state with segmented vortices in the BCS-BEC-crossover superconductor FeSe
• Nonreciprocal Directional Dichroism Induced by the Quantum Metric Dipole
• Kähler geometry and Chern insulators: Relations between topology and the quantum metric
• Distinctive momentum dependence of the band reconstruction in the nematic state of FeSe thin film
• Electron pairing in the presence of incipient bands in iron-based superconductors
• Semi-classical wave packet dynamics in non-uniform electric fields
• Experimental measurement of the divergent quantum metric of an exceptional point
• Quantum vortex core and missing pseudogap in the multi-band BCS-BEC-crossover superconductor FeSe
• High Tc via spin fluctuations from incipient bands: application to monolayers and intercalates of FeSe
• Bound on resistivity in flat-band materials due to the quantum metric
• Light-matter coupling and quantum geometry in moiré materials
• Engineering geometrically flat Chern bands with Fubini-Study Kähler structure
• Resilient nodeless $d$-wave superconductivity in monolayer FeSe
• Superconductivity in FeSe thin films driven by the interplay between nematic fluctuations and spin-orbit coupling
• Quantum metric and wavepackets at exceptional points in non-Hermitian systems
• Spectroscopic Evidence of Superconductivity Pairing at 83 K in Single-Layer FeSe/SrTiO3 Films
• Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
• Shadow gap in the over-doped (Ba${}_{1-x}$K${}_x$)Fe${}_2$As${}_2$ compound
• Nontrivial quantum geometry of degenerate flat bands
• Quantum-metric-enabled exciton condensate in double twisted bilayer graphene
• Effective pairing interaction in a system with an incipient band
• s${}_{\pm }$ pairing near a Lifshitz transition
• Evidence for d-wave superconductivity in single layer FeSe/SrTiO3 probed by quasiparticle scattering off step edges
• Superconductivity without hole-pocket in electron-doped FeSe: Analysis beyond the Migdal-Eliashberg formalism
• Superconductivity in monolayer FeSe enhanced by quantum geometry
• Geometry and superfluidity of the flat band in a non-Hermitian optical lattice
• Superconductivity-induced spectral weight transfer due to quantum geometry
• Revealing Chern number from quantum metric
• Thermodynamic approach to electric quadrupole moments
• Phonon Boost Effect on the $S^{\pm }$-wave Superconductor with Incipient Band
• Multichannel superconductivity of monolayer FeSe on SrTiO${}_3$: Interplay of spin fluctuations and electron-phonon interaction
• Enhanced superconductivity in FeSe/SrTiO${}_3$ from the combination of forward scattering phonons and spin fluctuations
• Hidden sign-changing $s$-wave superconductivity in monolayer FeSe
• Thermodynamic electric quadrupole moments of nematic phases from first-principles calculation

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• Pair density wave facilitated by Bloch quantum geometry in nearly flat band multiorbital superconductors
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• Quantum geometric superfluid weight in multiband superconductors: A microscopic interpretation
• Flat-band Fulde-Ferrell-Larkin-Ovchinnikov State from Quantum Geometric Discrepancy
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order
• Nonlinear optical responses in superconductors under magnetic fields: quantum geometry and topological superconductivity
• Superconductivity and pair density waves from nearest-neighbor interactions in frustrated lattice geometries
• Vertex correction for the linear and nonlinear optical responses in superconductors: multiband effect and topological superconductivity
• Emergence of the geometric contribution to the superfluid density in the inner crust of neutron stars
• Unconventional excitonic insulators in two-dimensional topological materials
• Normal state quantum geometry, non-locality and superconductivity
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry
• Quantum geometry in correlated electron phases: from flat band to dispersive band
• Quantum Geometric Helical Superconductivity
• Microscopic evidence for Fulde-Ferrel-Larkin-Ovchinnikov state and multiband effects in KFe${}_2$As${}_2$
• Lattice-induced wavefunction effects on trapped superfluids