Vasquez, Louella J., Slevin, Keith, Rodriguez, A. (Alberto) and Roemer, Rudolf A.. (2009) Scaling law and critical exponent for alpha(0) at the 3D Anderson transition. Annalen der Physik, Vol.18 (No.12 Sp. Iss. SI). 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 v is significantly larger than suggested by previous results. We speculate that this discrepancy is due to the use of an oversimplified scaling relation. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics Faculty of Science > Centre for Scientific Computing
Library of Congress Subject Headings (LCSH):	Anderson model, Metal-insulator transitions, Multifractals
Journal or Publication Title:	Annalen der Physik
Publisher:	Wiley - V C H Verlag GmbH & Co. KGaA
ISSN:	0003-3804
Date:	December 2009
Volume:	Vol.18
Number:	No.12 Sp. Iss. SI
Number of Pages:	4
Page Range:	pp. 901-904
Identification Number:	10.1002/andp.200910397
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Engineering and Physical Sciences Research Council (EPSRC)
Grant number:	EP/C007042/1 (EPSRC)
Version or Related Resource:	Paper presented at: 13th International Conference on Transport in Interacting Disordered Systems, Rackeve, Hungary, 02-05 Sep 2009
Conference Paper Type:	Paper
Type of Event:	Conference
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, Chap. Numerical investigations of scaling at the Anderson transition (Springer, Berlin, 2003), 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] A. Rodriguez, L. J. Vasquez, and R.A. R¨omer, Eur. Phys. J. B 67, 77–82 (2009). [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/16608

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