A pr 1 99 6 Gauge invariant nonlinear electric transport in mesoscopic conductors
نویسندگان
چکیده
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.
منابع مشابه
ar X iv : h ep - t h / 93 09 04 8 v 2 2 6 A pr 1 99 5 Particle Mechanics Models with W - symmetries
We introduce a particle mechanics model with Sp(2M) gauge invariance. Different partial gauge-fixings by means of sl(2) embeddings on the gauge algebra lead to reduced models which are invariant under diffeomorphisms and classical non-linear W-transformations as the residual gauge symmetries thus providing a set of models of gauge and matter fields coupled in a W-invariant way. The equations of...
متن کاملNonlinear Conductance in Resonant Tunneling.
A multiterminal conductance formula describing resonant tunneling through an interacting mesoscopic system is derived and used to investigate the nonlinear conductance of a quantum dot. An explicit gauge-invariant expression for the I-V characteristic which depends sensitively on the full capacitance matrix is obtained. A voltage probe is found to have a dramatic effect on the nonlinear conduct...
متن کاملar X iv : g r - qc / 9 70 40 54 v 1 1 9 A pr 1 99 7 The Nonlinear Quantum Gauge Theory – Superrelativity
A new type of nonlinear gauge quantum theory (superrelativity) has been proposed [1, 2, 3, 4, 5, 6]. Such theory demands a radical reconstruction of the quantum field conception and spacetime structure, and this paves presumably way to the comprehension of the quantum nature of inertia.
متن کاملar X iv : h ep - t h / 93 04 01 2 v 1 5 A pr 1 99 3 RIMS - 918 April , 1993 General Form of Dilaton Gravity and Nonlinear Gauge Theory
We construct a gauge theory based on general nonlinear Lie algebras. The generic form of ‘dilaton’ gravity is derived from nonlinear Poincaré algebra, which exhibits a gauge-theoretical origin of the non-geometric scalar field in two-dimensional gravitation theory.
متن کاملMagnetic-field asymmetry of nonlinear mesoscopic transport.
We investigate departures of the Onsager relations in the nonlinear regime of electronic transport through mesoscopic systems. We show that the nonlinear current-voltage characteristic is not an even function of the magnetic field due only to the magnetic-field dependence of the screening potential within the conductor. We illustrate this result for two types of conductors: A quantum Hall bar w...
متن کامل