On the ground state of the infinite-range Ising spin glass

1982 ◽  
Vol 15 (32) ◽  
pp. L1165-L1168 ◽  
Author(s):  
S Kirkpatrick ◽  
A P Young
Keyword(s):  
Spin Glass ◽  
Ground State ◽  
Ising Spin Glass ◽  
Ising Spin ◽  
Infinite Range

"INHERENT STRUCTURES" OF THE ±J ISING SPIN GLASS IN FOUR DIMENSIONS

1999 ◽  
Vol 10 (07) ◽  
pp. 1327-1333
Author(s):  
COLIN CHISHOLM ◽  
MARK LUKEMAN ◽  
N. JAN ◽  
D. L. HUNTER
Keyword(s):  
Transition Temperature ◽  
Spin Glass ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Precise Estimate ◽  
Ising Spin Glass ◽  
Four Dimensions ◽  
Ising Spin ◽  
2D And 3D

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.

Sign in / Sign up

Export Citation Format

Share Document