title: Low T scaling in the binary 2d spin glass.
abstract: We investigate 2d Ising spin glasses with binary couplings via exact computations of the partition function on lattices with periodic boundary conditions. After introducing the physical issues, we sketch the algorithm to compute the partition function as a polynomial with integer coefficients. This technique is then exploited to obtain the thermodynamic properties of the spin glass. We find an anomalous low temperature scaling of the heat capacity c(v) approximately e(-2beta) and that hyperscaling holds.
authors.affiliation: Dipartimento di Fisica, SMC and UdR1 of INFM, INFN, Università di Roma La Sapienza, P.le Aldo Moro 2, 00185 Roma, Italy.
authors.forename: J
authors.initials: J
authors.lastname: Lukic
authors.forename: E
authors.initials: E
authors.lastname: Marinari
authors.forename: O C
authors.initials: OC
authors.lastname: Martin
mesh_terms: D000465:Algorithms; D005898:Glass; D013696:Temperature; D013816:Thermodynamics