Accounting for the Surface Energy in Spin Heisenberg’s Hamiltonians

H Q Fadel; Фадель Хайдер Касим; A K Nukhov; Нухов Азим Кадимович; G M Musaev; Мусаев Гапиз Мусаевич; K K Kazbekov; Казбеков Каирбек Казбекович

Accounting for the Surface Energy in Spin Heisenberg’s Hamiltonians

Authors: Fadel HQ¹, Nukhov AK², Musaev GM², Kazbekov KK²
Affiliations:
1. University of Basra
2. Dagestan State University
Issue: No 3 (2013)
Pages: 118-128
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8421

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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.

Keywords

Heisenberg model, spectrum of a ferromagnet, surface effects, spins excitations

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Vol 32, No 4 (2024)

Accounting for the Surface Energy in Spin Heisenberg’s Hamiltonians

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Abstract

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About the authors

H Q Fadel

A K Nukhov

G M Musaev

K K Kazbekov

References

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