Gauge invariant nonlinear electric transport in mesoscopic conductors

Abstract

We use the scattering approach to investigate the nonlinear current-voltage characteristic of mesoscopic conductors. We discuss the leading nonlinearity by taking into account the self-consistent nonequilibrium potential. We emphasize conservation of the overall charge and current which are connected to the invariance under a global voltage shift (gauge invariance). As examples, we discuss the rectification coefficient of a quantum point contact and the nonlinear current-voltage characteristic of a resonant level in a double barrier structure.

(Replaced version, with corrected Eq.(4)); 5 pages, RevTeX, 1 figure, uuencoded

References in corpus (4)

• Quantum Transport in Semiconductor Nanostructures
• Low frequency admittance of a quantum point contact
• Aharonov-Bohm oscillations and resonant tunneling in strongly correlated quantum dots
• Nonlinear Transport in a Quantum Point Contact due to Soft Disorder Induced Coherent Mode Mixing

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