scholarly journals Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis

2009 ◽  
Vol 80 (2) ◽  
Author(s):  
L. A. Fernandez ◽  
V. Martin-Mayor ◽  
S. Perez-Gaviro ◽  
A. Tarancon ◽  
A. P. Young
Keyword(s):  
Phase Transition ◽  
Spin Glass ◽  
Three Dimensional ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Heisenberg Spin ◽  
Size Scaling

RECENT DEVELOPMENTS IN ISING SPIN GLASSES

1996 ◽  
Vol 07 (03) ◽  
pp. 327-335 ◽  
Author(s):  
A. P. YOUNG ◽  
N. KAWASHIMA
Keyword(s):  
Transition Temperature ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Ising Spin ◽  
Recent Developments ◽  
Rule Out

We have studied the three-dimensional Ising spin glass with a ± J distribution by Monte Carlo simulations. Using larger sizes and much better statistics than in earlier work, a finite size scaling analysis shows quite strong evidence for a finite transition temperature, Tc, with ordering below Tc. Our estimate of the transition temperature is rather lower than in earlier work, and the value of the correlation length exponent, ν, is somewhat higher. Because there may be (unknown) corrections to finite size scaling, we do not completely rule out the possibility that Tc = 0 or that Tc is finite but with no order below Tc. However, from our data, these possibilities seem less likely.

EXTENDED SCALING SCHEME FOR CRITICALLY DIVERGENT QUANTITIES AND CRITICAL EXPONENTS OF AN ISING SPIN GLASS

2009 ◽  
Vol 20 (09) ◽  
pp. 1313-1323 ◽  
Author(s):  
K. HUKUSHIMA ◽  
I. A. CAMPBELL ◽  
H. TAKAYAMA
Keyword(s):  
Spin Glass ◽  
Critical Exponents ◽  
Three Dimensional ◽  
Finite Size ◽  
Critical Parameters ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Monte Carlo Data ◽  
Ising Spin Glass ◽  
Ising Spin

A long-standing issue in a three-dimensional Ising spin glass (3DISG) is to settle the critical exponents. Numerical simulations and a conventional finite-size-scaling analysis have given controversial estimates, in particular, for the value of thermal exponent ν. Here a recently proposed extended scaling scheme is reviewed and illustrated for the canonical two-dimensional Ising ferromagnet. By applying the extended scaling to our extensive Monte Carlo data for 3DISG, consistent estimates of critical parameters are obtained in contrast to previous analyses.

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