Issue |
Europhys. Lett.
Volume 39, Number 1, July I 1997
|
|
---|---|---|
Page(s) | 85 - 90 | |
Section | Condensed matter: electronic structure, electrical, magnetic and optical properties | |
DOI | https://doi.org/10.1209/epl/i1997-00318-5 | |
Published online | 01 September 2002 |
Finite-size scaling analysis of exact ground states for ±J spin glass models in two dimensions
1
Department of Physics, Toho University - Miyama 2-2-1,
Funabashi 274, Japan
2
HLRZ c/o Forschungszentrum Jülich - 52425 Jülich, Germany
Received:
16
December
1996
Accepted:
26
May
1997
With the help of exact ground states obtained by a polynomial
algorithm we compute the domain wall energy at
zero temperature for the bond-random and the site-random Ising spin
glass model in two dimensions. We find that in both models the
stability of the ferromagnetic and the spin glass order ceases
to exist at a unique concentration pc for the ferromagnetic
bonds. In the vicinity of this critical point, the size and
concentration dependence of the first and second moment of the
domain wall energy are, for both models, described by a common
finite-size scaling form. Moreover, below this concentration the
stiffness exponent turns out to be slightly negative,
, indicating the absence of any intermediate spin glass
phase at non-zero temperature.
PACS: 75.10.Nr – Spin-glass and other random models / 75.50.Lk – Spin glasses and other random magnets / 05.50.+q – Lattice theory and statistics; Ising problems
© EDP Sciences, 1997
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