Aspect-ratio scaling and the stiffness exponent theta for Ising spin glasses

We introduce the technique of aspect-ratio scaling to study the scale dependence of interfacial energies in Ising spin glasses, and we show how one can use it to determine the stiffness exponent theta in a clean way, with results that are independent of the domain-wall-forcing boundary conditions im...

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Veröffentlicht in:Physical review letters 2002-02, Vol.88 (7), p.077201-077201, Article 077201
Hauptverfasser: Carter, A C, Bray, A J, Moore, M A
Format: Artikel
Sprache:eng
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Zusammenfassung:We introduce the technique of aspect-ratio scaling to study the scale dependence of interfacial energies in Ising spin glasses, and we show how one can use it to determine the stiffness exponent theta in a clean way, with results that are independent of the domain-wall-forcing boundary conditions imposed on the system. In space dimension d = 2 we obtain theta = -0.282(3) for a Gaussian distribution of exchange interactions.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.88.077201