1982/03/01 by Amy J. Kolan, R. G. Palmer · 3 citations
Physics and Astronomy · Economics, Econometrics and Finance · Mathematics · #Theoretical and Computational Physics #Complex Systems and Time Series Analysis #Random Matrices and Applications
paper · doi:10.1063/1.330972
openalex publication_date 1982/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26
A new algorithm has been developed to find ground state properties of finite two-dimensional lattices of Ising spins with +J, −J, or O interaction strengths. The algorithm is based on a list of all possible string assignments on a boundary which divides the sample in two. Averaged ground state properties are presented for random lattices in which +J occurs with probability p, −J with probability q, and O with probability r (p+q+r = 1). Evidence for zero temperature phase transitions between paramagnetic, ferromagnetic, antiferromagnetic, and possible spin glass phases is discussed.