Partition function zeros and the three-dimensional Ising spin glass

Lawrence K. Saul, Mehran Kardar A

John Stephenson, Jan Van Aalst

Gyan V Bhanot, K.J.M. Moriarty, Román Salvador

We study the Ising spin-glass model in two and three dimensions on small lattices by exactly computing the partition function for a large number of bond configurations. An analysis of the zeros of these partition functions suggests that there is no nonanalyticity in the free energy of the spin glass in either two or three dimensions.

John Stephenson

Lawrence K. Saul, Mehran Kardar A

We describe an exact integer algorithm to compute the partition function of a two-dimensional \ifmmode\pm\else\textpm\fi{}J Ising spin glass. Given a set of quenched random bonds, the algorithm returns the density of states as a function of energy. The computation time is polynomial in the lattice size. We investigate defects, low-lying excitations, and zeros of the partition function in the complex plane. We also discuss the potential to examine other types of quenched randomness.

I. R. Yukhnovskii