scholarly journals Ground State Incongruence in 2D Spin Glasses Revisited

10.37236/1793 ◽  
2004 ◽  
Vol 11 (1) ◽  
Author(s):  
Martin Loebl
Keyword(s):  
Spin Glass ◽  
Ground State ◽  
Spin Glasses ◽  
Ising Spin Glass ◽  
Ising Spin

A construction supporting a conjecture that different ground state pairs exist in the 2-dimensional Edwards-Anderson Ising spin glass is presented.

"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.

scholarly journals Ground-state properties of the three-dimensional Ising spin glass

1994 ◽  
Vol 50 (22) ◽  
pp. 16444-16452 ◽  
Author(s):  
Bernd A. Berg ◽  
Ulrich E. Hansmann ◽  
Tarik Celik
Keyword(s):  
Spin Glass ◽  
Ground State ◽  
Three Dimensional ◽  
Ising Spin Glass ◽  
Ising Spin ◽  
Ground State Properties
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