Modular invariance, universality and crossover in the quantum Hall effect

Details Modular invariance, universality and crossover in the quantum Hall effect Modular invariance, universality and crossover in the quantum Hall effect

1998-09-22

arxiv.org/abs/cond-mat/9809294v3

Nucl.Phys. B554 (1999) 487

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

23 pages, 5 figures, typeset in Plain TeX. Minor modifications

Scientific paper

10.1016/S0550-3213(99)00326-0

An analytic form for the conductivity tensor in crossover between two quantum Hall plateaux is derived, which appears to be in good agreement with existing experimental data. The derivation relies on an assumed symmetry between quantum Hall states, a generalisation of the law of corresponding states from rational filling factors to complex conductivity, which has a mathematical expression in terms of an action of the modular group on the upper-half complex conductivity plane. This symmetry implies universality in quantum Hall crossovers. The assumption that the $\beta$-function for the complex conductivity is a complex analytic function, together with some experimental constraints, results in an analytic expression for the crossover, as a function of the external magnetic field.

Affiliated with

Also associated with

No associations

Rating

Modular invariance, universality and crossover in the 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 Modular invariance, universality and crossover in the quantum Hall effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modular invariance, universality and crossover in the quantum Hall effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-360652