Quantum transport properties of two-dimensional electron gases under high magnetic fields
| dc.creator | Champel, Thierry | |
| dc.creator | Florens, Serge | |
| dc.date | 2006-12-06 | |
| dc.date | 2007-05-11 | |
| dc.date.accessioned | 2026-07-07T08:12:18Z | |
| dc.date.available | 2026-07-07T08:12:18Z | |
| dc.description | We study quantum transport properties of two-dimensional electron gases under high perpendicular magnetic fields. For this purpose, we reformulate the high-field expansion, usually done in the operatorial language of the guiding-center coordinates, in terms of vortex states within the framework of real-time Green functions. These vortex states arise naturally from the consideration that the Landau levels quantization can follow directly from the existence of a topological winding number. The microscopic computation of the current can then be performed within the Keldysh formalism in a systematic way at finite magnetic fields $B$ (i.e. beyond the semi-classical limit $B = \infty$). The formalism allows us to define a general vortex current density as long as the gradient expansion theory is applicable. As a result, the total current is expressed in terms of edge contributions only. We obtain the first and third lowest order contributions to the current due to Landau-levels mixing processes, and derive in a transparent way the quantization of the Hall conductance. Finally, we point out qualitatively the importance of inhomogeneities of the vortex density to capture the dissipative longitudinal transport. | |
| dc.description | 21 pages, 5 figures ; main change: the discussion about the longitudinal transport (Part A of Section VI) is rewritten and enhanced | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0612149 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0612149 | |
| dc.identifier | Phys. Rev. B 75, 245326 (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.75.245326 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132404 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Quantum transport properties of two-dimensional electron gases under high magnetic fields | |
| dc.type | text |