Renormalization Group Derivation of the Localization Length Exponent in the Integer Quantum Hall Effect

Details Renormalization Group Derivation of the Localization Length Exponent in the Integer Quantum Hall Effect Renormalization Group Derivation of the Localization Length Exponent in the Integer Quantum Hall Effect

1994-06-24

arxiv.org/abs/cond-mat/9406100v3

Phys. Lett. A199, 257 (1995)

Physics

Condensed Matter

Computations are discussed in a more detailed way

Scientific paper

10.1016/0375-9601(95)00100-H

We compute, neglecting possible effects of subleading irrelevant couplings, the localization length exponent in the integer quantum Hall effect, for the case of white noise random potentials. The result obtained is $\nu=2$ for all Landau levels. Our approach consists in a renormalization group transformation of Landau orbitals, which iterates the generating functional of Green's functions for the localization problem. The value of $\nu$ is obtained from the asymptotic form of the renormalization group mapping. The basic assumptions in our derivation are the existence of a scaling law for the localization length and the absence of Landau level mixing.

Affiliated with

Also associated with

No associations

Rating

Renormalization Group Derivation of the Localization Length Exponent in the Integer Quantum Hall Effect 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 Renormalization Group Derivation of the Localization Length Exponent in the Integer Quantum Hall Effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization Group Derivation of the Localization Length Exponent in the Integer Quantum Hall Effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673286