Sigma-i Co

Abstract We study the random-field Ising model on a Dyson hierarchical lattice, where the interactions decay in a power-law-like form, \(J(r)\sim r^{-\alpha }\), with respect to the distance. Without a random field, the Ising model on the Dyson hierarchical lattice has a long-range order at finite low temperatures when \(1<\alpha <2\).

1 Introduction A combinatorial optimization problem is minimizing or maximizing their cost or objective function among many variables that take discrete values. In general, it takes time to solve the combinatorial optimization problem. To deal with many combinatorial optimization problems, we utilize generic solvers to solve them efficiently.