Quantum transport properties of two-dimensional electron gases under high magnetic fields

Details Quantum transport properties of two-dimensional electron gases under high magnetic fields Quantum transport properties of two-dimensional electron gases under high magnetic fields

2006-12-06

arxiv.org/abs/cond-mat/0612149v2

Phys. Rev. B 75, 245326 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

21 pages, 5 figures ; main change: the discussion about the longitudinal transport (Part A of Section VI) is rewritten and enh

Scientific paper

10.1103/PhysRevB.75.245326

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.

Affiliated with

Also associated with

No associations

Rating

Quantum transport properties of two-dimensional electron gases under high magnetic fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum transport properties of two-dimensional electron gases under high magnetic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum transport properties of two-dimensional electron gases under high magnetic fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-451909