scholarly journals Multifractal finite-size scaling and universality at the Anderson transition

2011 ◽  
Vol 84 (13) ◽  
Author(s):  
Alberto Rodriguez ◽  
Louella J. Vasquez ◽  
Keith Slevin ◽  
Rudolf A. Römer
2003 ◽  
Vol 90 (2) ◽  
Author(s):  
Daniel Murphy ◽  
Edgar Genio ◽  
Guenter Ahlers ◽  
Fengchuan Liu ◽  
Yuanming Liu

2002 ◽  
Vol 27 (3) ◽  
pp. 399-407 ◽  
Author(s):  
M.L. Ndawana ◽  
R.A. Römer ◽  
M. Schreiber

2010 ◽  
pp. 347-360 ◽  
Author(s):  
B. Kramer ◽  
A. MacKinnon ◽  
T. Ohtsuki ◽  
K. Slevin

2010 ◽  
Vol 24 (12n13) ◽  
pp. 1841-1854 ◽  
Author(s):  
B. Kramer ◽  
A. MacKinnon ◽  
T. Ohtsuki ◽  
K. Slevin

This chapter describes the progress made during the past three decades in the finite size scaling analysis of the critical phenomena of the Anderson transition. The scaling theory of localization and the Anderson model of localization are briefly sketched. The finite size scaling method is described. Recent results for the critical exponents of the different symmetry classes are summarised. The importance of corrections to scaling are emphasised. A comparison with experiment is made, and a direction for future work is suggested.


2004 ◽  
Vol 270 (1-2) ◽  
pp. 119-123 ◽  
Author(s):  
M.S. Amazonas ◽  
J. Cabral Neto ◽  
J. Ricardo de Sousa

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