Effect of Coulomb interaction on multi-electronwave packet dynamics

Abstract

We have investigated the effect of Coulomb interaction on electron transport in a one-dimensional nanoscale structure using a multi-electron wave packet approach. To study the time evolution, we numerically solve the time-dependent Hartree-Fock equation, finding that the electron wave packet dynamics strongly depends on the Coulomb interaction strength. When the Coulomb interaction is large, each electron wave packet moves separately in the presence of an electric field. With weak Coulomb interaction, however, the electron wave packets overlap, forming and moving as one collective wave packet.

Effect of long-range Coulomb interactions on electron transport in a nanoscale one-dimensional ring

“…1 is the one-body term. 18,22,23,32) The time-dependent Hartree-Fock equation is equivalent to the random phase approximation (RPA) in the short period time limit. 33) Thus, we are able to include the many-body correlation effect of the electrons in the range of the RPA in our calculations.…”

“…In our previous work, 22,23) we showed that the nature of the electron transport varies drastically depending on the strength of the long-range Coulomb interactions. Generally speaking, electrons make Bloch wave states in the weak Coulomb interaction limit whereas they make localized states in the strong interaction limit.…”