Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium

Abstract

We develop a theory of tunneling spectroscopy of interacting electrons in a non-equilibrium quantum wire coupled to reservoirs. The problem is modelled as an out-of-equilibrium Luttinger liquid with spatially dependent interaction. The interaction leads to the renormalization of the tunneling density of states, as well as to the redistribution of electrons over energies. Energy relaxation is controlled by plasmon scattering at the boundaries between regions with different interaction strength, and affects the distribution function of electrons in the wire as well as that of electrons emitted from the interacting regions into non-interacting electrodes.

11 pages, 4 figures

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• Tunneling into Nonequilibrium Luttinger Liquid with Impurity
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• Nonequilibrium electron spectroscopy of Luttinger liquids
• Transport in partially equilibrated inhomogeneous quantum wires
• Hanbury Brown and Twiss Correlations in Quantum Hall Systems
• Cold bosons in the Landauer setup
• Energy Partitioning of Tunneling Currents into Luttinger Liquids
• Theory of non-equilibrium electronic Mach-Zehnder interferometer
• Steady-state properties of a thermodynamically unbalanced Fermi gas
• Long-lived binary tunneling spectrum in a quantum-Hall Tomonaga-Luttinger liquid
• Effect of a Coulombic dot-lead coupling on the dynamics of a quantum dot
• Nonequilibrium kinetics of a disordered Luttinger liquid
• Tunneling into the localized phase near Anderson transitions with Coulomb interaction
• Many-particle correlations in non-equilibrium Luttinger liquid
• Thermal transport and quench relaxation in nonlinear Luttinger liquids
• The tunneling conductance between a superconducting STM tip and an out-of-equilibrium carbon nanotube
• Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling
• Y-junction of Luttinger-liquid wires out of equilibrium
• Nonequilibrium phases and phase transitions of the XY-model
• Luttinger liquids with multiple Fermi edges: Generalized Fisher-Hartwig conjecture and numerical analysis of Toeplitz determinants
• Mixed-order symmetry-breaking quantum phase transition far from equilibrium
• Tunneling into a finite Luttinger liquid coupled to noisy capacitive leads
• A Luttinger Liquid coupled to Ohmic-class environments
• Pair Scattering of Electrons in Edge Channels of Opposite Chiralities in the Presence of a Disorder Potential
• Anyon Quantum Transport and Noise away from Equilibrium
• Nonequilibrium distribution functions in electron transport: Decoherence, energy redistribution and dissipation
• Fate of the Quasi-condensed State for Bias-driven Hard-Core Bosons in one Dimension