Title 



On the range of validity of a semiclassical relation between the critical exponents at the Anderson localization transition
 
Author 



 
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 GarcíaGarcía, 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.   
Language 



English
 
Source (journal) 



The journal of physics and chemistry of solids.  New York, N.Y.  
Publication 



New York, N.Y. : 2011
 
ISSN 



00223697
 
Volume/pages 



72:12(2011), p. 15291531
 
ISI 



000297394500025
 
Full text (Publishers DOI) 


  
Full text (publishers version  intranet only) 


  
