Critical thermodynamics of the two-dimensional +/-J Ising spin glass.
We compute the exact partition function of 2d Ising spin glasses with binary couplings. In these systems, the ground state is highly degenerate and is separated from the first excited state by a gap of size 4J. Nevertheless, we find that the low temperature specific heat density scales as exp(-2J/T), corresponding to an "effective" gap of size 2J; in addition, an associated crossover length scale grows as exp(J/T). We justify these scalings via the degeneracy of the low lying excitations and by the way low energy domain walls proliferate in this model.
Lukic
J
J
Dipartimento di Fisica, SMC and UdR1 of INFM, INFN, Università di Roma La Sapienza, Piazzale le Aldo Moro 2, 00185 Roma, Italy.
Galluccio
A
A
Marinari
E
E
Martin
O C
OC
Rinaldi
G
G