scholarly journals Multifractal finite-size scaling at the Anderson transition in the unitary symmetry class

2017 ◽  
Vol 96 (13) ◽  
Author(s):  
Jakob Lindinger ◽  
Alberto Rodríguez
Keyword(s):  
Finite Size ◽  
Symmetry Class ◽  
Finite Size Scaling ◽  
Anderson Transition ◽  
Unitary Symmetry ◽  
Size Scaling

scholarly journals Finite-size scaling of the level compressibility at the Anderson transition

2002 ◽  
Vol 27 (3) ◽  
pp. 399-407 ◽  
Author(s):  
M.L. Ndawana ◽  
R.A. Römer ◽  
M. Schreiber
Keyword(s):  
Finite Size ◽  
Finite Size Scaling ◽  
Anderson Transition ◽  
Size Scaling

scholarly journals FINITE SIZE SCALING ANALYSIS OF THE ANDERSON TRANSITION

2010 ◽  
pp. 347-360 ◽  
Author(s):  
B. Kramer ◽  
A. MacKinnon ◽  
T. Ohtsuki ◽  
K. Slevin
Keyword(s):  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Anderson Transition ◽  
Size Scaling

scholarly journals FINITE SIZE SCALING ANALYSIS OF THE ANDERSON TRANSITION

2010 ◽  
Vol 24 (12n13) ◽  
pp. 1841-1854 ◽  
Author(s):  
B. Kramer ◽  
A. MacKinnon ◽  
T. Ohtsuki ◽  
K. Slevin
Keyword(s):  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Corrections To Scaling ◽  
Anderson Transition ◽  
The Past ◽  
Size Scaling ◽  
Symmetry Classes ◽  
Comparison With Experiment ◽  
Future Work

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.

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
Keyword(s):  
Finite Size ◽  
Finite Size Scaling ◽  
Anderson Transition ◽  
Size Scaling ◽  
Scaling And Universality

scholarly journals A NEW APPROACH TO DYNAMIC FINITE-SIZE SCALING

2003 ◽  
Vol 14 (07) ◽  
pp. 945-954 ◽  
Author(s):  
MEHMET DİLAVER ◽  
SEMRA GÜNDÜÇ ◽  
MERAL AYDIN ◽  
YİĞİT GÜNDÜÇ
Keyword(s):  
Three Dimensional ◽  
Finite Size ◽  
Taylor Series Expansion ◽  
Scaling Behavior ◽  
Dynamic Scaling ◽  
Finite Size Scaling ◽  
New Approach ◽  
Size Scaling ◽  
Dynamic Exponent ◽  
Good Agreement

In this work we have considered the Taylor series expansion of the dynamic scaling relation of the magnetization with respect to small initial magnetization values in order to study the dynamic scaling behavior of two- and three-dimensional Ising models. We have used the literature values of the critical exponents and of the new dynamic exponent x0 to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. For the three-dimensional Ising model we have also presented that this method opens the possibility of calculating z and x0 separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling.

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