Wave-packet dynamics of Bogoliubov quasiparticles: Quantum metric effects

2017/05/31 by Long Liang, Sebastiano Peotta, Ari Harju +1 · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Condensed matter physics #Josephson effect #Lattice (music) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quasiparticle #Sawtooth wave #Superconductivity #Supercurrent #Wave function #Wave packet #cond-mat.quant-gas #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.96.064511

published as Phys. Rev. B 96, 064511 (2017) · Updated version, 16 pages, 5 figures, accepted by PRB

openalex created_date 2017/05/19 · arxiv created 2017/07/25 · openalex publication_date 2017/08/11 · arxiv updated 2017/08/14 · openalex updated_date 2026/08/05

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.

Citations

• Hall Effect in Ferromagnetics
• Field Induced Positional Shift of Bloch Electrons and Its Dynamical Implications
• Quantum field-theoretical methods in transport theory of metals
• Persistent spin current in nanodevices and definition of the spin current
• Berry’s phase for energy bands in solids
• High-temperature surface superconductivity in topological flat-band systems
• Theory of Superconductivity
• Phenomenological theory of unconventional superconductivity
• Spectral Flow in Vortex Dynamics of 3 He-B and Superconductors
• The Boltzmann-equation description of transport in superconductors
• Proper Definition of Spin Current in Spin-Orbit Coupled Systems
• Quantal phase factors accompanying adiabatic changes
• Orbital Magnetization in Periodic Insulators
• Berry phase effects on electronic properties

Cited by

• Quantum Geometry Driven Finite-Momentum Exciton Fluctuations in Flat-Band Systems
• Longitudinal and anomalous Hall conductivity of a general two-band model
• Berry Curvature Effects on Quasiparticle Dynamics in Superconductors
• Conserved current of nonconserved quantities
• Exposing the quantum geometry of spin-orbit-coupled Fermi superfluids