Wave packet dynamics of Bogoliubov quasiparticles: quantum metric effects

Abstract

We study the dynamics of the Bogoliubov wave packet in superconductors and calculate the supercurrent carried by the wave packet. We discover an anomalous contribution to the supercurrent, related to the quantum metric of the Bloch wave function. This anomalous contribution is most important for flat or quasiflat bands, as exemplified by the attractive Hubbard models on the Creutz ladder and sawtooth lattice. Our theoretical framework is general and can be used to study a wide variety of phenomena, such as spin transport and exciton transport.

Updated version, 16 pages, 5 figures, accepted by PRB

References in corpus (12)

• Theory of ultracold Fermi gases
• Orbital magnetization in periodic insulators
• Magnetic Penetration Depth in Unconventional Superconductors
• On A Proper Definition of Spin Current
• Band geometry, Berry curvature and superfluid weight
• Bose condensation in flat bands
• Experimental Measurement of the Berry Curvature from Anomalous Transport
• Geometric orbital susceptibility: quantum metric without Berry curvature
• Effective theory and emergent $SU(2)$ symmetry in the flat bands of attractive Hubbard models
• Persistent spin current in nano-devices and definition of the spin current
• Geometrical contributions to the exchange constants: Free electrons with spin-orbit interaction
• Dipolar bogolons: from superfluids to Pfaffians

Cited by in corpus (30)

• Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
• Quantum metric and effective mass of a two-body bound state in a flat band
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Superfluid weight bounds from symmetry and quantum geometry in flat bands
• Preformed pairs in flat Bloch bands
• Semi-classical wave packet dynamics in non-uniform electric fields
• Experimental measurement of the divergent quantum metric of an exceptional point
• Quantum Metric and Correlated States in Two-dimensional Systems
• Quantum metric and wavepackets at exceptional points in non-Hermitian systems
• Longitudinal and anomalous Hall conductivity of a general two-band model
• Pairing and non-Fermi liquid behavior in partially flat-band systems
• Unified bulk semiclassical theory for intrinsic thermal transport and magnetization currents
• Conserved current of nonconserved quantities
• Berry curvature effects on quasiparticle dynamics in superconductors
• Anomalous Coherence Length in Superconductors with Quantum Metric
• "Quantum Geometric Nesting" and Solvable Model Flat-Band Systems
• Exposing the quantum geometry of spin-orbit coupled Fermi superfluids
• Universal semiclassical equations based on the quantum metric
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Quantum geometry encoded to pair potentials
• Berezinskii-Kosterlitz-Thouless transition in the time-reversal-symmetric Hofstadter-Hubbard model
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Quantum oscillations from a pair-density wave
• Quantum geometrical effects in non-Hermitian systems
• Detecting Topological Superconductivity via Berry Curvature Effects in Spectral Functions
• Intrinsic Nernst Effect from Berry Curvature in Superconductors
• Superconducting magnetoelectric effects in mesoscopic hybrid structures
• Superconducting Berry Curvature Dipole
• Semiclassical theory for the orbital magnetic moment of superconducting quasiparticles
• Quantum Geometry Driven Finite-Momentum Exciton Fluctuations in Flat-Band Systems