Partition of Two Interacting Electrons by a Potential Barrier

Abstract

Scattering or tunneling of an electron at a potential barrier is a fundamental quantum effect. Electron-electron interactions often affect the scattering, and understanding of the interaction effect is crucial in detection of various phenomena of electron transport and their application to electron quantum optics. We theoretically study the partition and collision of two interacting hot electrons at a potential barrier in the quantum Hall regime. We predict their kinetic energy change by their Coulomb interaction during the scattering delay time inside the barrier. The energy change results in characteristic deviation of the partition probabilities from the noninteracting case. The derivation includes nonmonotonic dependence of the probabilities on the barrier height, which agrees with recent experiments, and reduction of the fermionic antibunching.

7 pages (including references)+ 7 pages (supplemental material), more discussions included

References in corpus (22)

• An On-Demand Coherent Single Electron Source
• Fractional statistics in anyon collisions
• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Minimal excitation states of electrons in one-dimensional wires
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Finite bias visibility of the electronic Mach-Zehnder interferometer
• Scattering theory of nonlinear thermoelectric transport
• Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Quantized dynamics of a coherent capacitor
• Shot noise of a mesoscopic two-particle collider
• Coherent Particle Transfer in an On-Demand Single-Electron Source
• Partitioning of on-demand electron pairs
• Wave-packet Formalism of Full Counting Statistics
• Nonequilibrium Dephasing in an Electronic Mach-Zehnder Interferometer
• The Behavior of Electronic Interferometers in the Non-Linear Regime
• Ultrafast Emission and Detection of a Single-Electron Gaussian Wave Packet: A Theoretical Study
• Exactly Solved Model for an Electronic Mach-Zehnder Interferometer
• Negative Excess Shot Noise by Anyon Braiding
• Fractional Mutual Statistics on Integer Quantum Hall Edges
• Two-particle scattering matrix of two interacting mesoscopic conductors
• Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states