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Exact Integer Algorithm for the Two-Dimensional Plus or Minus J Ising Spin Glass

L. Saul
J. Kardar
Journal / Anthology

Physical Review E
Year: 1993
Volume: 48
Issue: 5
Page range: R3221-R3224

We describe an exact integer algorithm to compute the partition function of a two-dimensional plus or minus 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.

*Science > Physics > Thermodynamics and Statistical Mechanics