Quantum Kinetic Analysis of Mesoscopic Systems: Linear Response

Y. Lee, Purdue University, Main Campus
Michael J. McLennan, Purdue University, Main Campus
Gerhard Klimeck, Purdue University - Main Campus
R. K. Lake, Purdue University, Main Campus
S. Datta, Purdue University - Main Campus

Abstract

Numerical results are presented for R,, and Rxy in a rectangular Hall geometry from B=0- 1OT. At low fields we find the usual semiclassical results while at high fields both Shubnikov-de Haas oscillations and the quantum Hall effect are evident. Electrochemical potential profiles and current flow patterns are also discussed. The analysis is based on a linear response equation derived earlier from the Keldysh formal- ism. This equation assumes low temperatures and point-like phase-breaking scatterers. We also discuss how this equation is generalized to high temperatures and extended scatterers.

Discipline(s)

Nanoscience and Nanotechnology