Pair Density Waves from Local Band Geometry

Abstract

A band-projection formalism is developed for calculating the superfluid weight in two-dimensional multi-orbital superconductors with an orbital-dependent pairing. It is discovered that, in this case, the band geometric superfluid stiffness tensor can be locally non-positive-definite in some regions of the Brillouin zone. When these regions are large enough or include nodal singularities, the total superfluid weight becomes non-positive-definite due to pairing fluctuations, resulting in the transition of a BCS state to a pair-density wave (PDW). This geometric BCS-PDW transition is studied in the context of two-orbital superconductors, and proof of the existence of a geometric BCS-PDW transition in a generic topological flat band is established.

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• Enhanced Kohn-Luttinger topological superconductivity in bands with nontrivial geometry
• Geometric superfluid weight of composite bands in multiorbital superconductors
• Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model
• Quantum geometry encoded to pair potentials
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Nematic Bogoliubov Fermi surfaces from magnetic toroidal order in FeSe${}_{1-x}$S${}_x$
• Quantum geometric superfluid weight in multiband superconductors: A microscopic interpretation
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order
• Pair size and quantum geometry in a multiband Hubbard model
• Superconductivity and pair density waves from nearest-neighbor interactions in frustrated lattice geometries
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• Microscopic Mechanism of Pair-, Charge- and Spin-Density-Wave Instabilities in Interacting D-Dimensional Fermi Liquids
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• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Ideal quantum geometry of the surface states of rhombohedral graphite and its effects on the surface superconductivity
• Quantum geometry in correlated electron phases: from flat band to dispersive band
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Quantum Geometric Helical Superconductivity
• Spin-triplet pair density wave superconductors