GROUND STATES IN THREE-DIMENSIONAL ±J EDWARDS–ANDERSON SPIN GLASSES WITH FREE BOUNDARIES

2000 ◽  
Vol 11 (03) ◽  
pp. 589-592
Author(s):  
FRAUKE LIERS ◽  
MICHAEL JÜNGER
Keyword(s):  
Spin Glass ◽  
Spin Glasses ◽  
State Energy ◽  
Infinite System ◽  
Three Dimensional ◽  
Finite Size ◽  
Ground States ◽  
Free Boundaries ◽  
Finite Size Corrections

By an exact calculation of the ground states for the ±J Edwards–Anderson spin glass, one can extrapolate the ground state energy to infinite system sizes. We calculate the exact ground states for the three-dimensional spin glass with free boundaries for system sizes up to 10 and fit different finite-size functions. We cannot decide, only from the quality of the fit, which fitting function to choose. Relying on the literature values for the extrapolated energy, we find the finite-size corrections to vary as 1/L.

Ag–Mn nanoparticles: Three-dimensional finite size effect of the spin glass state

1999 ◽  
Vol 86 (11) ◽  
pp. 6571-6575 ◽  
Author(s):  
J. Ederth ◽  
A. Hoel ◽  
C. I. Johansson ◽  
L. B. Kiss ◽  
E. Olsson ◽  
...  
Keyword(s):  
Size Effect ◽  
Spin Glass ◽  
Three Dimensional ◽  
Finite Size ◽  
Spin Glass State ◽  
Finite Size Effect ◽  
Glass State

Progress in Spin Glasses and Random Fields – Research with a Special Purpose Computer

1985 ◽  
Vol 63 ◽  
Author(s):  
A. T. Ogielski
Keyword(s):  
Numerical Simulations ◽  
Spin Glass ◽  
Magnetic Materials ◽  
Random Fields ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Purpose Computer ◽  
Special Purpose Computer

ABSTRACTExtensive numerical simulations of random magnetic materials have been recently performed at AT&T Bell Laboratories with a fast specially designed computer. I will discuss certain issues concerning the use of specialized computers in research, and I will review some major results obtained in simulations of a three-dimensional spin glass and an antiferromagnet with random fields.

PHASE TRANSITIONS IN SPIN GLASSES

2009 ◽  
Vol 20 (09) ◽  
pp. 1411-1421
Author(s):  
A. P. YOUNG
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Spin Glass ◽  
Spin Glasses ◽  
Finite Size ◽  
Three Dimensions ◽  
Scaling Analysis ◽  
Zero Field ◽  
Exchange Method ◽  
Ising Spin

Some recent progress in Monte Carlo simulations of spin glasses will be presented. The problem of slow dynamics at low temperatures is partially alleviated by use of the parallel tempering (replica exchange) method. A useful technique to check for equilibration (applicable only for a Gaussian distribution) will be discussed. It will be argued that a finite size scaling analysis of the scaled correlation length of the system is a good approach with which to investigate phase transitions in spin glasses. This method will be used to study two questions: (i) whether there is a phase transition in zero field in the Heisenberg spin glass in three dimensions, and (ii) whether there is phase transition in a magnetic field in an Ising spin glass, also in three dimensions.

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