Multi-Electron Wave Packet Dynamics in Applied Electric Field

Abstract

We investigated multi-electron wave packet dynamics considering Coulomb interaction under applied electric field by solving the time-dependent Hartree–Fock equation. We confirm that the Coulomb interaction works to prolong the lifetime of the wave packets. Moreover, we find that the applied electric field also prolongs the wave packet lifetime. This indicates that the particle nature of electrons will be dominant in future nanodevices under high electric field.

Influence of Coulomb Blockade on Wave Packet Dynamics in Nanoscale Structures

“…We discretize the above effective mass Hamiltonian H eff onto nearestneighbor tight-binding Hamiltonian whose lattice constant is a. 14,[16][17][18][19] In the second quantized form, the Hamiltonian becomes…”

“…1. [10][11][12][13][14] As stated above, in the system in which screening is not effective, it is crucial to consider multiple-electron correlations. We thus perform the many-particle calculation based on the time-dependent Hartree-Fock approximation, generalizing the previous works on one-or two-particle problems.…”

“…We thus perform the many-particle calculation based on the time-dependent Hartree-Fock approximation, generalizing the previous works on one-or two-particle problems. 6,14)…”

A simple model for pink noise from amplitude modulations

“…When the system size is about 1 mm, there are such local coherent elements in the system. The electrons in such a coherent element can be described in terms of the wave packet, where represents the weight function and is the group velocity 19 . The center of the wave packet represents the classical limit of the electron motion, and the expanse of the wave packet can represent interference.…”