scholarly journals Evidence for a trivial ground-state structure in the two-dimensional Ising spin glass

1999 ◽  
Vol 60 (14) ◽  
pp. R9919-R9922 ◽  
Author(s):  
Matteo Palassini ◽  
A. P. Young
1999 ◽  
Vol 83 (24) ◽  
pp. 5126-5129 ◽  
Author(s):  
Matteo Palassini ◽  
A. P. Young

1999 ◽  
Vol 10 (07) ◽  
pp. 1327-1333
Author(s):  
COLIN CHISHOLM ◽  
MARK LUKEMAN ◽  
N. JAN ◽  
D. L. HUNTER

We measure the "inherent structures" of the ±J Ising spin glass in four dimensions (4D) and find a behavior similar to that seen for the 2D and 3D systems. We are able to determine the transition temperature from the overlap between the quenched states and the equilibrium states. We find that the transition temperature Tsg is 2.07±0.05 which agrees well with the recently reported value of 2.03±0.03 by Maranari and Zuliani. We also find that the ground state energy for the 4D spin glass is near -2.087±0.005, a more precise estimate than the value of -1.83 reported earlier.


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