Landauer-Büttiker formula for time-dependent transport through resonant-tunneling structures: A nonequilibrium Green’s function approach

Time-dependent transport through single molecules: nonequilibrium Greens functions and TDDFT

The nomenclature quantum transport has been coined for the phenomenon of electron motion through constrictions of transverse dimensions smaller than the electron wavelength, e.g., quantum-point contacts, quantum wires, molecules, etc. To describe transport properties on such a small scale, a quantum theory of transport is required. In this section we focus on quantum transport problems whose ex...

Time-dependent transport in interacting and noninteracting resonant-tunneling systems.

Nonequilibrium quantum transport through a dissipative resonant level

Chung-Hou Chung,1,2 Karyn Le Hur,3,4 Gleb Finkelstein,5 Matthias Vojta,6 and Peter Wölfle7,8 1Department of Electrophysics, National Chiao-Tung University, HsinChu, Taiwan, Republic of China 2Physics Division, National Center for Theoretical Sciences, HsinChu, Taiwan, Republic of China 3Center for Theoretical Physics Ecole Polytechnique and CNRS 91128 Palaiseau, France 4Department of Physics an...

A Particle Model for Wigner Transport through Tunneling Structures

– The Wigner equation taking into account both the non-local potential operator and a scattering operator represents a suitable physical model for carrier transport in nano structures. In this paper a new Monte Carlo method is proposed for the solution of the stationary Wigner equation. Scattering can be included at the level of the semi-classical Boltzmann scattering operator, whereas coherent...

Incompleteness of the Landauer formula for electronic transport

We show that the Landauer formula for the conductance of a nanoscale system is incomplete because it does not take into account many-body effects which cannot be treated as contributions to the single-particle transmission probabilities. We show that the physical origin of these effects is related to the viscous nature of the electron liquid and we develop a perturbative formalism, based on the...