The second order nonlinear conductance of a two-dimensional mesoscopic conductor

Details The second order nonlinear conductance of a two-dimensional mesoscopic conductor The second order nonlinear conductance of a two-dimensional mesoscopic conductor

1997-04-11

arxiv.org/abs/cond-mat/9704096v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX

Scientific paper

10.1088/0953-8984/10/24/011

We have investigated the weakly non-linear quantum transport properties of a two-dimensional quantum conductor. We have developed a numerical scheme which is very general for this purpose. The nonlinear conductance is computed by explicitly evaluating the various partial density of states, the sensitivity and the characteristic potential. Interesting spatial structure of these quantities are revealed. We present detailed results concerning the crossover behavior of the second order nonlinear conductance when the conductor changes from geometrically symmetrical to asymmetrical. Other issues of interests such as the gauge invariance are also discussed.

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