Energy Partitioning of Tunneling Currents into Luttinger Liquids

Abstract

Tunneling of electrons of definite chirality into a quantum wire creates counterpropagating excitations, carrying both charge and energy. We find that the partitioning of energy is qualitatively different from that of charge. The partition ratio of energy depends on the excess energy of the tunneling electrons (controlled by the applied bias) and on the interaction strength within the wire (characterized by the Luttinger liquid parameter $\kappa$), while the partitioning of charge is fully determined by $\kappa$. Moreover, unlike for charge currents, the partitioning of energy current should manifest itself in $dc$ experiments on wires contacted by conventional (Fermi-liquid) leads.

5 pages, 2 figures

References in corpus (10)

• Non-Equilibrium Edge Channel Spectroscopy in the Integer Quantum Hall Regime
• Bosonization of one dimensional fermions out of equilibrium
• Three-particle collisions in quantum wires: Corrections to thermopower and conductance
• Energy relaxation and thermalization of hot electrons in quantum wires
• Interaction induced edge channel equilibration
• Transport properties of partially equilibrated quantum wires
• Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
• Thermalization of nonequilibrium electrons in quantum wires
• Nonequilibrium electron spectroscopy of Luttinger liquids
• Nonequilibrium kinetics of a disordered Luttinger liquid

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• Charge and energy fractionalization mechanism in one-dimensional channels
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• Thermal transport and quench relaxation in nonlinear Luttinger liquids
• Microwave-induced nonequilibrium temperature in a suspended carbon nanotube
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Spin-charge separation in an Aharonov-Bohm interferometer
• Kinetic processes in Fermi-Luttinger liquids