Current-constraining variational approaches to quantum transport
| dc.creator | Bokes, P. | |
| dc.creator | Mera, H. | |
| dc.creator | Godby, R. W. | |
| dc.date | 2005-07-19 | |
| dc.date.accessioned | 2026-07-07T06:22:00Z | |
| dc.date.available | 2026-07-07T06:22:00Z | |
| dc.description | Presently, the main methods for describing a non-equilibrium charge-transporting steady state are based on time-evolving it from the initial zero-current situation. An alternative class of theories would give the statistical non-equilibrium density operator from principles of statistical mechanics, in a spirit close to Gibbs ensembles for equilibrium systems, leading to a variational principle for the non-equilibrium steady state. We discuss the existing attempts to achieve this using the maximum entropy principle based on constraining the average current. We show that the current-constrained theories result in a zero induced drop in electrostatic potential, so that such ensembles cannot correspond to the time-evolved density matrix, unless left- and right-going scattering states are mutually incoherent. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0507448 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0507448 | |
| dc.identifier | Phys. Rev. B 72, 165425 (2005). | |
| dc.identifier | doi:10.1103/PhysRevB.72.165425 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95783 | |
| dc.subject | Materials Science | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Current-constraining variational approaches to quantum transport | |
| dc.type | text |