Ground state of ferromagnet with antiferromagnetic impurity

Abstract

The Heisenberg ferromagnet with an antiferromagnetic impurity and arbitrary spin is considered. The method is suggested for constructing the ground state of such a system, the method using the Jacobi matrix technique. As an example, there has been investigated the ferromagnet with a simple cubic lattice and the matrix spin S = 1 2 , and the impurity spin S′ = 1. The energy and wave function of the ground state are found as dependent on the system parameters.