Scalings of domain wall energies in two dimensional Ising spin glasses.
We study domain wall energies of two dimensional spin glasses. The scaling of these energies depends on the model's distribution of quenched random couplings, falling into three different classes. The first class is associated with the exponent theta approximately -0.28; the other two classes have theta=0, as can be justified theoretically. In contrast to previous claims, we find that theta=0 does not indicate d=d(c)(l) but rather d< or =d(c)(l), where d(c)(l) is the lower critical dimension.
Amoruso
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Dipartimento di Fisica, SMC and UdR1 of INFM, INFN, Università di Roma La Sapienza, Piazzale Aldo Moro 2, 00185 Rome, Italy.
Marinari
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Martin
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Pagnani
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A