Transport in a one-dimensional Luttinger liquid
| dc.creator | Fisher, Matthew P. A. | |
| dc.creator | Glazman, Leonid I. | |
| dc.date | 1996-10-06 | |
| dc.date.accessioned | 2026-07-07T09:11:11Z | |
| dc.date.available | 2026-07-07T09:11:11Z | |
| dc.description | In this paper we review recent theoretical results for transport in a one-dimensional (1d) Luttinger liquid. For simplicity, we ignore electron spin, and focus exclusively on the case of a single-mode. Moreover, we consider only the effects of a single (or perhaps several) spatially localized impurities. Even with these restrictions, the predicted behavior is very rich, and strikingly different than for a 1d non-interacting electron gas. The method of bosonization is reviewed, with an emphasis on physical motivation, rather than mathematical rigor. Transport through a single impurity is reviewed from several different perspectives, as a pinned strongly interacting ``Wigner" crystal and in the limit of weak interactions. The existence of fractionally charged quasiparticles is also revealed. Inter-edge tunnelling in the quantum Hall effect, and charge fluctuations in a quantum dot under the conditions of Coulomb blockade are considered as examples of the developed techniques. | |
| dc.description | 20 pages, including 7 Postscript figures. Paper to be published in "Mesoscopic Electron Transport", edited by L. Kowenhoven, G. Schoen and L. Sohn, NATO ASI Series E, Kluwer Ac. Publ., Dordrecht | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9610037 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9610037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151594 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Transport in a one-dimensional Luttinger liquid | |
| dc.type | text |