Nonlinear Steady-State Mesoscopic Transport, I. Formalism

Details Nonlinear Steady-State Mesoscopic Transport, I. Formalism Nonlinear Steady-State Mesoscopic Transport, I. Formalism

1994-03-08

arxiv.org/abs/cond-mat/9403031v1

Physics

Condensed Matter

14 pages, 4 figures (available from mdj@physics.ucf.edu). Revtex 3.0. (UCF-CM-94-001)

Scientific paper

10.1103/PhysRevB.51.14421

We present an approach to steady-state mesoscopic transport based on the maximum entropy principle formulation of nonequilibrium statistical mechanics. This approach is valid in the nonlinear regime of high current, and yields the quantization observed in the integer quantum Hall effect at large currents. A key ingredient of this approach, and its success in explaining high-precision Hall measurements, is that the occupancy of single-electron states depends on their current as well as their energy. This suggests that the reservoir picture commonly used in mesoscopic transport is unsatisfactory outside of linear response.

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