Second sound in systems of one-dimensional fermions
arXiv:1708.05733 · doi:10.1103/PhysRevLett.119.266801
Abstract
We study sound in Galilean invariant systems of one-dimensional fermions. At low temperatures, we find a broad range of frequencies in which in addition to the waves of density there is a second sound corresponding to ballistic propagation of heat in the system. The damping of the second sound mode is weak, provided the frequency is large compared to a relaxation rate that is exponentially small at low temperatures. At lower frequencies the second sound mode is damped, and the propagation of heat is diffusive.
References in corpus (16)
- Luttinger Liquid Behavior in Carbon Nanotubes
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Confinement induced molecules in a 1D Fermi gas
- Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
- Three-particle collisions in quantum wires: Corrections to thermopower and conductance
- Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires
- Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
- Energy relaxation and thermalization of hot electrons in quantum wires
- Transport properties of partially equilibrated quantum wires
- Equilibration of a spinless Luttinger liquid
- Equilibration of a one-dimensional Wigner crystal
- Relaxation in Luttinger liquids: Bose-Fermi duality
- Kinetics of mobile impurities and correlation functions in one-dimensional superfluids at finite temperature
- Relaxation of weakly interacting electrons in one dimension
- Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids
- Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
Cited by in corpus (10)
- Superfluidity in the 1D Bose-Hubbard Model
- Thermal conductivity of the degenerate one-dimensional Fermi gas
- Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
- Hybrid sound modes in one-dimensional quantum liquids
- Propagation and attenuation of sound in one-dimensional quantum liquids
- Viscous Properties of a Degenerate One-Dimensional Fermi Gas
- Equilibration of Quasi-One-Dimensional Fermi Gases
- Electronic pumping of heat without charge transfer
- Sound in a system of chiral one-dimensional fermions
- Viscous dissipation in a gas of one-dimensional fermions with generic dispersion