Quantum Kinetic Analysis of Mesoscopic Systems: Linear Response

Author

• Y. Lee, Purdue University, Main Campus
• Michael J. McLennan, Purdue University, Main Campus
• Gerhard Klimeck, Purdue University - Main CampusFollow
• 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.

DOI

10.1016/0749-6036(92)90237-Y

Citation

Superlattices and Microstructures, Vol. 11, No. 2, (1992) pp. 137

Date of this Version

1992

Recommended Citation

Lee, Y.; McLennan, Michael J.; Klimeck, Gerhard; Lake, R. K.; and Datta, S., "Quantum Kinetic Analysis of Mesoscopic Systems: Linear Response" (1992). Birck and NCN Publications. Paper 785.
http://dx.doi.org/10.1016/0749-6036(92)90237-Y