Charge and energy fractionalization mechanism in one-dimensional channels

Abstract

We study the problem of injecting single electrons into interacting one-dimensional quantum systems, a fundamental building block for electron quantum optics. It is well known that such injection leads to charge and energy fractionalization. We elucidate this concept by calculating the nonequilibrium electron distribution function in the momentum and energy domains after the injection of an energy-resolved electron. Our results shed light on how fractionalization occurs via the creation of particle-hole pairs by the injected electron. In particular, we focus on systems with a pair of counterpropagating channels, and we fully analyze the properties of each chiral fractional excitation which is created by the injection. We suggest possible routes to access their energy and momentum distribution functions in topological quantum Hall or quantum spin-Hall edge states.

13 pages, 6 figures

References in corpus (26)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• An On-Demand Coherent Single Electron Source
• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Minimal excitation states of electrons in one-dimensional wires
• Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
• Quantized dynamics of a coherent capacitor
• Electron quantum optics in quantum Hall edge channels
• Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
• Real time decoherence of Landau and Levitov quasi-particles in quantum Hall edge channels
• Waveform measurement of charge- and spin-density wave packets in a Tomonaga-Luttinger liquid
• Electron and hole Hong-Ou-Mandel interferometry
• Decoherence and relaxation of a single electron in a one dimensional conductor
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Spin polarised scanning tunneling probe for helical Luttinger liquids
• Quantum Wire Hybridized with a Single-Level Impurity
• Photoexcitation of electron wave packets in quantum spin Hall edge states: effects of chiral anomaly from a localised electric pulse
• Time-resolved charge fractionalization in inhomogeneous Luttinger liquids
• Quench-induced entanglement and relaxation dynamics in Luttinger liquids
• Controllable spin entanglement production in a quantum spin Hall ring
• Charging of a quantum dot coupled to Luttinger liquid leads
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Dynamical transport measurement of the Luttinger parameter in helical edges states of 2D topological insulators

Cited by in corpus (11)

• Shaping charge excitations in chiral edge states with a time-dependent gate voltage
• Auger-spectroscopy in quantum Hall edge channels: a possible resolution to the missing energy problem
• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• Current correlations of Cooper-pair tunneling into a quantum Hall system
• Influence of channel mixing in fermionic Hong-Ou-Mandel experiments
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Spin-charge separation in an Aharonov-Bohm interferometer
• Interaction-induced charge transfer in a mesoscopic electron spectrometer
• Quantum transport phenomena induced by time-dependent fields
• Nonlinear effects on charge fractionalization in critical chains