Universidad Complutense de Madrid
E-Prints Complutense

Numerical study of the localization length critical index in a network model of plateau-plateau transitions in the quantum hall effect

Impacto

Downloads

Downloads per month over past year

Amado, M. and Malyshev, Andrey and Sedrakyan, A. and Domínguez-Adame Acosta, Francisco (2011) Numerical study of the localization length critical index in a network model of plateau-plateau transitions in the quantum hall effect. Physical Review Letters, 107 (6). ISSN 0031-9007

[img]
Preview
PDF
244kB

Official URL: http://dx.doi.org/10.1103/PhysRevLett.107.066402


URLURL Type
http://journals.aps.org/Publisher


Abstract

We calculate numerically the localization length critical index within the Chalker-Coddington model of the plateau-plateau transitions in the quantum Hall effect. We report a finite-size scaling analysis using both the traditional power-law corrections to the scaling function and the inverse logarithmic ones, which provided a more stable fit resulting in the localization length critical index v = 2.616 +/- 0.014. We observe an increase of the critical exponent v with the system size, which is possibly the origin of discrepancies with early results obtained for smaller systems.


Item Type:Article
Additional Information:

© 2011 American Physical Society.
A. S. acknowledges discussions with I. Gruzberg and V. Kagalovsky and the hospitality of the Universidad Complutense de Madrid, where the major part of the work has been done. A. V. M. and F. D.-A. thank K. Slevin, T. Ohtsuki, and R. Römer for fruitful discus- sions. Part of the calculations were performed at the Aula Sun Cluster and the Clúster de Ca´lculo de Alta Capacidad para Técnicas Físicas, funded by the UCM and the EU under the FEDER program. Work in Madrid was supported by MICINN (Projects Mosaico and MAT2010-17180)

Uncontrolled Keywords:Anderson Transition, Scaling Theory, Field-Theory, Percolation, Conductance, Systems, Limit
Subjects:Sciences > Physics > Materials
ID Code:27192
Deposited On:29 Oct 2014 11:05
Last Modified:12 Feb 2018 18:50

Origin of downloads

Repository Staff Only: item control page