Generalized thermodynamic potentials for mesoscopic conductors in the presence of transport

Abstract

It is shown that the nonequilibrium steady-state of a phase-coherent conductor can be described by a generalized thermodynamic potential based on the concept of partial densities of states. This is possible due to the fact that dissipation takes place only in the contacts for the emitted carriers. Long-range Coulomb interaction is included, and charge conservation and gauge invariance are satisfied. The theory is illustrated for a mesoscopic capacitor with leakage.

4 pages, RevTeX; will appear in Phys. Rev. B

References in corpus (3)

• Gauge invariant nonlinear electric transport in mesoscopic conductors
• Low frequency admittance of a quantum point contact
• Partial Densities of States, Scattering Matrices, and Green's Functions

Cited by in corpus (7)

• Friedel phases and phases of transmission amplitudes in quantum scattering systems
• Force, charge, and conductance of an ideal metallic nanowire
• Stability of Metal Nanowires at Ultrahigh Current Densities
• Magnetic-field symmetries of mesoscopic nonlinear conductance
• Quantum Reciprocity Conjecture for the Non-Equilibrium Steady State
• Charge Current Density from the Scattering Matrix
• Single-particle and Interaction Effects on the Cohesion and Transport and Magnetic Properties of Metal Nanowires at Finite Voltages