Many-Body Effects on Tunneling of Electrons in Magnetic-Field-Induced Quasi One-Dimensional Electron Systems in Semiconductor Nanowhiskers

TL;DR

This paper investigates how electron-electron interactions affect tunneling in semiconductor nanowhiskers under strong magnetic fields, focusing on bulk and edge states and their temperature-dependent transmission probabilities.

Contribution

It provides a theoretical analysis of many-body effects on tunneling in quasi-one-dimensional electron systems with coexistence of bulk and edge states.

Findings

Bulk states show temperature-dependent transmission similar to 1D systems.

Edge state contributions are negligible in the low-temperature approximation.

Electron-electron interactions significantly influence tunneling behavior in nanowhiskers.

Abstract

Effects of the electron-electron interaction on tunneling in a semiconductor nanowhisker are studied in a magnetic quantum limit. We consider the system with which bulk and edge states coexist. In bulk states, the temperature dependence of the transmission probability is qualitatively similar to that of a one-dimensional electron system. We investigate contributions of edge states on transmission probability in bulk states. Those contributions can be neglected within our approximation which takes into account only most divergent terms at low temperatures.