Quantum metric contribution to the pair mass in spin-orbit coupled Fermi superfluids

Abstract

As a measure of the quantum distance between Bloch states in the Hilbert space, the quantum metric was introduced to solid-state physics through the real part of the so-called geometric Fubini-Study tensor, the imaginary part of which corresponds to the Berry curvature measuring the emergent gauge field in momentum space. Here, we first derive the Ginzburg-Landau theory near the critical superfluid transition temperature, and then identify and analyze the geometric effects on the effective mass tensor of the Cooper pairs. By showing that the quantum metric contribution accounts for a sizeable fraction of the pair mass in a surprisingly large parameter regime throughout the BCS-BEC crossover, we not only reveal the physical origin of its governing role in the superfluid density tensor but also hint at its plausible roles in many other observables as well.

6 pages with 2 figures; to appear in PRA

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• Topological Photonics
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Cited by in corpus (31)

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• Semi-classical wave packet dynamics in non-uniform electric fields
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• Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
• Nontrivial quantum geometry of degenerate flat bands
• Quantum Geometric Contributions to the BKT Transition: Beyond Mean Field Theory
• Origin of flat-band superfluidity on the Mielke checkerboard lattice
• Two-body problem in a multiband lattice and the role of quantum geometry
• Anomalous Coherence Length in Superconductors with Quantum Metric
• Extracting quantum-geometric effects from Ginzburg-Landau theory in a multiband Hubbard model
• Geometric Stiffness in Interlayer Exciton Condensates
• Exposing the quantum geometry of spin-orbit coupled Fermi superfluids
• Effective-mass tensor of the two-body bound states and the quantum-metric tensor of the underlying Bloch states
• Quantum Metric in Step Response
• Geometric mass acquisition via quantum metric: an effective band mass theorem for the helicity bands
• Geometric contribution to the Goldstone mode in spin-orbit coupled Fermi superfluids
• Superfluid stiffness for the attractive Hubbard model on a honeycomb optical lattice
• Quantum-geometric perspective on spin-orbit-coupled Bose superfluids
• Coherence length and quantum geometry in a dilute flat-band superconductor
• Quantum-geometric contribution to the Bogoliubov modes in a two-band Bose-Einstein condensate
• Spin-susceptibility of spin-orbit coupled Fermi superfluids
• Pair size and quantum geometry in a multiband Hubbard model
• Information geometry of quantum critical submanifolds: relevant, marginal and irrelevant operators
• Many-Body Quantum Geometric Dipole
• Quantum geometrical effects in non-Hermitian systems
• Generalized Peierls substitution for Wannier obstructions: response to disorder and interactions
• Unconventional gapless semiconductor in an extended martini lattice in covalent honeycomb materials
• Topological fluctuating electron-hole Cooper pairs in graphene-GaAs heterostructures
• Probing the Quantum Geometry of Correlated Metals using Optical Conductivity