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Method of finding the ground state of a ferromagnet in the presence of an antiferromagnetic impurity with arbitrary spin

V. I. PeresadaPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSRВ. Н. АфанасьевPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSRV. S. BorovikovPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR
ABI

Abstract

A Heisenberg ferromagnet with an antiferromagnetic impurity with arbitrary values of the host and impurity spins is considered. A method is proposed for finding the ground state of such systems by using the apparatus of Jacobian matrices. Numerical computations are performed as an example for a ferromagnet with a simple cubic lattice and host spin S = 1/2, 1 and impurity spin S′ = 1. The ground state energy and wave function are found as functions of the system parameters.

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