High-temperature—series expansion for random Ising magnets

Abstract

We use high-temperature\char22{}series expansion to study the magnetic properties of $d$-dimensional hypercubic Ising spin systems with a random distribution of exchange interaction. Our series is valid for an arbitrary distribution of exchange. We examine the case of a concentration of $p$ ferromagnetic bonds and $1\ensuremath{-}p$ antiferromagnetic bonds of equal magnitude. We find regions of a spin-glass phase in the concentration-temperature phase diagram sandwiched between regions of ferromagnetic and antiferromagnetic order.