| Issue |
Europhys. Lett.
Volume 67, Number 3, August 2004
|
|
|---|---|---|
| Page(s) | 453 - 459 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2004-10082-0 | |
| Published online | 01 July 2004 | |
Low-temperature excitations of dilute lattice spin glasses
Physics Department, Emory University - Atlanta, Georgia 30322, USA
Received:
12
January
2004
Accepted:
26
May
2004
A new approach to exploring low-temperature excitations in
finite-dimensional lattice spin glasses is proposed. By focusing
on bond-diluted lattices just above the percolation threshold,
large system sizes L can be obtained which lead to enhanced
scaling regimes and more accurate exponents. Furthermore, this
method in principle remains practical for any dimension, yielding
exponents that so far have been elusive. This approach is
demonstrated by determining the stiffness exponent for dimensions
, 
(the upper critical dimension), and 
. Key is
the application of an exact reduction algorithm, which eliminates
a large fraction of spins, so that the reduced lattices never
exceed 
variables for sizes as large as 
in
, 
in , or 
in . Finite-size scaling
analysis gives 
for , significantly improving
on previous work. The results for and , 
and 
, are entirely new and are compared with
mean-field predictions made for 
.
PACS: 75.10.Nr – Spin-glass and other random models / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 02.60.Pn – Numerical optimization
© EDP Sciences, 2004
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