Finite-Size Scaling in the Dissipative Transport Regime Between Quantum Hall Plateaus

1992 ◽  
pp. 177-186
Author(s):  
S. Koch ◽  
R. J. Haug ◽  
K. v. Klitzing ◽  
K. Ploog ◽  
M. Razeghi
Keyword(s):  
Quantum Hall ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Transport Regime ◽  
Dissipative Transport

scholarly journals Symmetry aspects and finite-size scaling of quantum Hall fluids

1993 ◽  
Vol 33 (3) ◽  
pp. 21-34 ◽  
Author(s):  
Andrea Cappelli ◽  
Gerald V. Dunne ◽  
Carlo A. Trugenberger ◽  
Guillermo R. Zemba
Keyword(s):  
Quantum Hall ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling

scholarly journals FINITE SIZE SCALING OF THE CHALKER-CODDINGTON MODEL

2012 ◽  
Vol 11 ◽  
pp. 60-69 ◽  
Author(s):  
KEITH SLEVIN ◽  
TOMI OHTSUKI
Keyword(s):  
Critical Exponent ◽  
Quantum Hall ◽  
Localization Length ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Size Scaling

In Ref. 1, we reported an estimate of the critical exponent for the divergence of the localization length at the quantum Hall transition that is significantly larger than those reported in the previous published work of other authors. In this paper, we update our finite size scaling analysis of the Chalker-Coddington model and suggest the origin of the previous underestimate by other authors. We also compare our results with the predictions of Lütken and Ross.2

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.

Finite-size-scaling study of the spin-1 Heisenberg-Ising chain with uniaxial anisotropy

1983 ◽  
Vol 28 (7) ◽  
pp. 3914-3921 ◽  
Author(s):  
R. Botet ◽  
R. Jullien ◽  
M. Kolb
Keyword(s):  
Uniaxial Anisotropy ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Ising Chain ◽  
Size Scaling

scholarly journals On the use of finite-size scaling to measure spin-glass exponents

2003 ◽  
Vol 36 (21) ◽  
pp. 5699-5706 ◽  
Author(s):  
A C Carter ◽  
A J Bray ◽  
M A Moore
Keyword(s):  
Spin Glass ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling
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