Wigner time delay and related concepts: Application to transport in coherent conductors
| Autor: | Christophe Texier |
|---|---|
| Přispěvatelé: | Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11) |
| Rok vydání: | 2016 |
| Předmět: |
[PHYS]Physics [physics]
Physics Condensed Matter - Mesoscale and Nanoscale Physics Relation (database) Process (computing) FOS: Physical sciences Condensed Matter Physics 01 natural sciences Atomic and Molecular Physics and Optics 010305 fluids & plasmas Electronic Optical and Magnetic Materials Exponential function Matrix (mathematics) Quantum mechanics Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 0103 physical sciences Scattering theory Statistical physics 010306 general physics Electrical conductor Random matrix ComputingMilieux_MISCELLANEOUS Brownian motion |
| Zdroj: | Physica E: Low-dimensional Systems and Nanostructures Physica E: Low-dimensional Systems and Nanostructures, Elsevier, 2016, 82, pp.16-33 |
| ISSN: | 1386-9477 |
| DOI: | 10.1016/j.physe.2015.09.041 |
| Popis: | The concepts of Wigner time delay and Wigner-Smith matrix allow to characterize temporal aspects of a quantum scattering process. The article reviews the statistical properties of the Wigner time delay for disordered systems; the case of disorder in 1D with a chiral symmetry is discussed and the relation with exponential functionals of the Brownian motion underlined. Another approach for the analysis of time delay statistics is the random matrix approach, from which we review few results. As a pratical illustration, we briefly outline a theory of nonlinear transport and AC transport developed by B\"uttiker and coworkers, where the concept of Wigner-Smith time delay matrix is a central piece allowing to describe screening properties in out-of-equilibrium coherent conductors. Comment: 39 pages, LaTeX, 15 pdf figures; contribution to a special issue in Physica E "Frontiers in quantum electronic transport - in memory of Markus B\"uttiker" ; v5: (version updated after publication) section 4.1.1 reorganised and completed, table of section 7.2 corrected, refs. added ; v6: new subsections 3.5, 4.2 and 5.3.2, refs added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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