Multi-Electron Wave Packet Dynamics in Applied Electric Field

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.…”

“…9,10) Hence, it is very important for us to study multi-electron quantum electron transport under the effect of long-range Coulomb interactions for future nanoscale devices. However, because of the difficulty in treating long-range Coulomb interactions, most studies done to date have been static rather than dynamic or have taken into account only short-range Coulomb interactions or treated just one or two electrons [11][12][13][14][15][16][17][18][19][20][21] and there have been few studies on multielectron dynamics, despite its importance. It is also not possible to treat direct long-range electron-electron interactions with a pure quantum wave picture.…”

Effect of Coulomb Interaction in Electron Wave Packet Dynamics in Nanoscale Devices

“…We also set the lattice constant a to unity. We calculate the time evolutions of the each electron wave functions by solving the time-dependent Hartree-Fock equation in order to take into account the coulomb interaction [3],…”

Size dependence of electrostatic lens effect in vertical MOSFETs

“…In our previous studies, we have clarified the impurity scattering effect or the electromagnetic waves and obtain the basic features of the electron dynamics in solid. [26][27][28][29][30] In this study, to obtain a clear understanding of electron dynamics in the V-MOSFET, these effects are not included. In addition, the electron velocity around the surface region is higher than that in the central region, owing to the lower potential of the surface region.…”