Quantum geometric origin of the Meissner effect and superfluid weight marker
arXiv:2505.17349 · doi:10.1103/9fsf-9j53
Abstract
The momentum space of conventional superconductors is recently recognized to possess a quantum metric defined from the overlap of filled quasihole states at neighboring momenta. For multiband superconductors with arbitrary intraband and interband s-wave pairing, we elaborate that their superfluid weight in London equations is given by the momentum integration of the elements of quantum metric times the quasiparticle energy, indicating the quantum geometric origins of Meissner effect and vortex state. The momentum integration of the quantum metric further yields a spread of quasihole Wannier functions that characterizes the stability of the superconducting state. Our formalism allows the diamagnetic response of conventional superconductors to be mapped to individual lattice sites as a superfluid weight marker, which can incorporate the effect of disorder through self-consistently solving the Bogoliubov-de Gennes equations. Using single-band s-wave superconductors in 2D and 3D as examples, our marker reveals a diamagnetic current that becomes turbulent in the presence of nonmagnetic impurities, and the increase of London penetration depth by disorder that is consistent with experiments.
arXiv comment10 pages, 4 figures
References in corpus (23)
- Maximally-localized generalized Wannier functions for composite energy bands
- Maximally localized Wannier functions: Theory and applications
- Superfluidity in topologically nontrivial flat bands
- Geometric origin of superfluidity in the Lieb lattice flat band
- Superfluidity and Quantum Geometry in Twisted Multilayer Systems
- Mapping topological order in coordinate space
- Entanglement Spectrum of a Disordered Topological Chern Insulator
- Band geometry, Berry curvature and superfluid weight
- Disordered Topological Insulators via -Algebras
- Dichroic f-sum rule and the orbital magnetization of crystals
- Superfluid weight bounds from symmetry and quantum geometry in flat bands
- Non-Commutative Tools for Topological Insulators
- The quantum geometric origin of capacitance in insulators
- Momentum space metric, non-local operator, and topological insulators
- Mapping quantum geometry and quantum phase transitions to real space by a fidelity marker
- Local theory of the insulating state
- Spin-triplet superconductivity from quantum-geometry-induced ferromagnetic fluctuation
- Extracting quantum-geometric effects from Ginzburg-Landau theory in a multiband Hubbard model
- Quantum Geometric Kohn-Luttinger Superconductivity
- Quantum geometry encoded to pair potentials
- Quantum geometry of singlet superconductors
- Dielectric and optical markers originating from quantum geometry
- Detecting the spread of valence band Wannier functions by optical sum rules