Accounting for the Surface Energy in Spin Heisenberg’s Hamiltonians

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Abstract

Using the quantum mechanical Bogolubov’s Hamiltonian hierarchy for localized electronicexcitations of the crystal system, we have obtained the Hamiltonian of the spin excitations ofthe Heisenberg model, taking into account the surface energy. This Hamiltonian is obtained in the zero approximation in the spin-spin interaction for a ferromagnetic crystal, in case ofrigid fixing of ions in the lattice sites. The corresponding expressions for the displacement ofions in the crystal lattice are also shown.

About the authors

H Q Fadel

University of Basra

Email: hdr_edany@yahoo.com
Physics department College of education

A K Nukhov

Dagestan State University

Email: nukhov1984@mail.ru
Department of Physics

G M Musaev

Dagestan State University

Email: mgm20001942@mail.ru
Department of Physics

K K Kazbekov

Dagestan State University

Email: kairbek75@mail.ru
Department of Physics

References


Copyright (c) 2013 Фадель Х.К., Нухов А.К., Мусаев Г.М., Казбеков К.К.

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