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. Electronelectron 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. 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 qualitatively agrees with recent experiments, and reduction of the fermionic antibunching.

Electronic Kapitza resistance and related kinetic coefficients at an interface between n-type semiconductors

“…We substitute this expression (36) and the expression for the complementary part of the nonequilibrium function (33) into expressions for the heat flux and electric current (28). For the heat flux, we obtain…”

“…We substitute the expression for the complementary part of the distribution function (33) into expressions (40,41) and perform the integration in the left part. Now, we have a system of two equations for ∆T R , ∆ζ R , so we find them.…”

“…Later his ideas were generalized to three dimensions [30]. Further development included taking into account an external magnetic field [31], electronelectron interaction in the interfacial region [32,33], and some better numerical methods of calculation [34,35]. These approaches are thoroughly reviewed in [36,37].…”

One-Lead Single-Electron Source with Charging Energy

“…As discussed below, our new source will offer a useful tool for exploring electron quantum optics at finite emission energy. This direction can widen applications of electron quantum optics, with controlling individual particles, utilizing the emission energy itself as information, and realizing two-flying-qubit gates between two electrons of different energies by using their interaction …”

“…Third, the geometry of our source allows us to integrate it together with a tunable-barrier QD pump, and realize the parallel pumping (Figure ). This will be useful for studying Coulomb interactions between copropagating two electrons , in a systematic way. This distance (relative emission time) between the two electrons can be fine-tuned in picosecond resolution by changing the DC voltage V 4 by ∼30 μV.…”