Nonequilibrium electron spectroscopy of Luttinger liquids

Abstract

Understanding the effects of nonequilibrium on strongly interacting quantum systems is a challenging problem in condensed matter physics. In dimensions greater than one, interacting electrons can often be understood within Fermi-liquid theory where low-energy excitations are weakly interacting quasiparticles. On the contrary, electrons in one dimension are known to form a strongly-correlated phase of matter called a Luttinger liquid (LL), whose low-energy excitations are collective density waves, or plasmons, of the electron gas. Here we show that spectroscopy of locally injected high-energy electrons can be used to probe energy relaxation in the presence of such strong correlations. For detection energies near the injection energy, the electron distribution is described by a power law whose exponent depends in a continuous way on the Luttinger parameter, and energy relaxation can be attributed to plasmon emission. For a chiral LL as realized at the edge of a fractional quantum Hall state, the distribution function grows linearly with the distance to the injection energy, independent of filling fraction.

4+ pages, 3 figures

References in corpus (5)

• Spin-charge separation and localization in one-dimension
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
• Electron tunneling into a quantum wire in the Fabry-Perot regime
• Nonequilibrium kinetics of a disordered Luttinger liquid

Cited by in corpus (21)

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• Real time decoherence of Landau and Levitov quasi-particles in quantum Hall edge channels
• Chargeless heat transport in the fractional quantum Hall regime
• Energy relaxation and thermalization of hot electrons in quantum wires
• Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
• Relaxation and revival of quasiparticles injected in an interacting quantum Hall liquid
• Thermalization of nonequilibrium electrons in quantum wires
• Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state
• Energy Partitioning of Tunneling Currents into Luttinger Liquids
• Auger-spectroscopy in quantum Hall edge channels: a possible resolution to the missing energy problem
• Charge and energy fractionalization mechanism in one-dimensional channels
• Energy transport by neutral collective excitations at the quantum Hall edge
• Steady-state properties of a thermodynamically unbalanced Fermi gas
• Interaction effects on thermal transport in quantum wires
• Statistical theory of relaxation of high energy electrons in quantum Hall edge states
• Many-particle correlations in non-equilibrium Luttinger liquid
• Nonlinear conductance of long quantum wires at a conductance plateau transition: Where does the voltage drop?
• Interaction-induced charge transfer in a mesoscopic electron spectrometer
• Luttinger liquids with multiple Fermi edges: Generalized Fisher-Hartwig conjecture and numerical analysis of Toeplitz determinants
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities
• Elastic precession of electronic spin states in interacting integer quantum Hall edge channels