Vasquez, Louella J., Slevin, Keith, Rodriguez, A. (Alberto) and Roemer, Rudolf A.. (2010) Scaling law and critical exponent for alpha_0 at the 3D Anderson transition. Annalen der Physik, Vol.18 (No.12). pp. 901-904. ISSN 0003-3804

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Abstract

We use high-precision, large system-size wave function data to analyse the scaling properties of the multifractal spectra around the disorder-induced three-dimensional Anderson transition in order to extract the critical exponents of the transition. Using a previously suggested scaling law, we find that the critical exponent is significantly larger than suggested by previous results. We speculate that this discrepancy is due to the use of an oversimplified scaling relation.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science > Centre for Scientific Computing Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Localization theory -- Research, Multifractals -- Research, Scaling laws (Statistical physics), Exponents (Algebra)
Journal or Publication Title:	Annalen der Physik
Publisher:	Wiley - VCH Verlag GmbH & Co. KGaA
ISSN:	0003-3804
Date:	8 June 2010
Volume:	Vol.18
Number:	No.12
Page Range:	pp. 901-904
Identification Number:	10.1002/andp.200910397
Status:	Peer Reviewed
Access rights to Published version:	Restricted or Subscription Access
Description:	Originally published in the December 2009 issue of Annalen der Physik; revised 08 June 2010.
Funder:	Engineering and Physical Sciences Research Council (EPSRC), Ōsaka Daigaku (OD)
Grant number:	EP/C007042/1 (EPSRC)
References:	[1] R. A. R¨omer and M. Schreiber, The Anderson Transition and its Ramifications — Localisation, Quantum Interference, and Interactions, Lecture Notes in Physics, Vol. 630, (Springer, Berlin, 2003), chap. Numerical investigations of scaling at the Anderson transition, pp. 3–19. [2] F. Evers and A. D. Mirlin, Rev. Mod. Phys. 80(October), 1355–1417 (2008). [3] K. Slevin and T. Ohtsuki, Phys. Rev. Lett. 82, 382–385 (1999), ArXiv: cond-mat/9812065. [4] F. Milde, R. A. R¨omer, and M. Schreiber, Phys. Rev. B 61, 6028–6035 (2000), ArXiv: cond-mat/9909210. [5] L. J. Vasquez, A. Rodriguez, and R. A. R¨omer, Eur. Phys. J. B (2008). [6] L. J. Vasquez, A. Rodriguez, and R. A. R¨omer, Phys. Rev. B 78, 195106 (2008), cond-mat:0807.2217v1. [7] A. Rodriguez, L. J. Vasquez, and R. A. R¨omer, Phys. Rev. B 78, 195107 (2008), cond-mat:0807.2209v1. [8] A. Rodriguez, L. J. Vasquez, and R. A. R¨omer, Phys. Rev. Lett. 102, 106406 (2009), cond-mat:0812.1654. [9] M. Janssen, Int. J. Mod. Phys. B 8, 943 (1994). [10] B. Huckestein and L. Schweitzer, Physica A 191, 406–409 (1992). [11] F. Wegner, Nucl. Phys. B 316, 663–678 (1989).
URI:	http://wrap.warwick.ac.uk/id/eprint/3233

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