Title
On the range of validity of a semiclassical relation between the critical exponents at the Anderson localization transition On the range of validity of a semiclassical relation between the critical exponents at the Anderson localization transition
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
New York, N.Y. ,
Subject
Physics
Chemistry
Source (journal)
The journal of physics and chemistry of solids. - New York, N.Y.
Volume/pages
72(2011) :12 , p. 1529-1531
ISSN
0022-3697
ISI
000297394500025
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Using Wegner's result relating critical exponents s and ν for conductivity and localization length, respectively, via dimensionality d and that for ν given by García-García, we derive what we term a semiclassical (sc) relation for ν in terms of s, which is independent of dimensionality. Forming the ratio s/ν versus d from the above relations, s/ν=0 at d=2 is due to a singularity in the sc relation for ν. We argue that, in reality, s/ν=0 results from s being zero at d=2. Finally we conjecture that (i) Wegner's prediction s/ν=1 when d=3 and (ii) ν tends to 1/2 at large s, are both insensitive to interactions.
E-info
https://repository.uantwerpen.be/docman/iruaauth/5b5ac6/a8bf83872be.pdf
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