The magnetic properties of Fe<sub>3</sub>O<sub>4</sub> thick films as described by third order perturbed Heisenberg Hamiltonian
Thick films of Fe<sub>3</sub>O<sub>4</sub> up to 10000 spin layers have been explained using third order perturbed modified Heisenberg Hamiltonian with seven magnetic parameters. Total magnetic energy and orientation of magnetic easy directions were determined for spinel stru...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Faculty of Science, University of Peradeniya, Sri Lanka
2019-09-01
|
| Series: | Ceylon Journal of Science |
| Subjects: | |
| Online Access: | https://cjs.sljol.info/articles/7645 |
| _version_ | 1797984429253066752 |
|---|---|
| author | P. Samarasekara S. Dehipawala |
| author_facet | P. Samarasekara S. Dehipawala |
| author_sort | P. Samarasekara |
| collection | DOAJ |
| description | Thick films of Fe<sub>3</sub>O<sub>4</sub> up to 10000 spin layers have been explained using third order perturbed modified Heisenberg Hamiltonian with seven magnetic parameters. Total magnetic energy and orientation of magnetic easy directions were determined for spinel structure of Fe<sub>3</sub>O<sub>4</sub> with octahedral and tetrahedral sites. The effect of number of spin layers and stress induced anisotropy on magnetic properties was investigated. 3-D plot of energy versus angle and number of spin layers was plotted to determine the number of spin layers corresponding to minimum magnetic energy. Magnetic easy axis was found by plotting a graph of energy versus angle for one particular value of the previously-mentioned number of spin layers. Similarly, 3-D and 2-D graphs were plotted for stress induced anisotropy. For film with 4 spin layers, magnetic easy directions were found to be <span>θ</span> = 2.3, 2.5, 5.6 radians, …. When the ratio of stress induced anisotropy to strength of long-range dipole interaction is 2, magnetic easy direction was found to be <span>θ</span> = 2.6 radians. Here the angles were measured with respect to a line drawn normal to the film plane. Because Fe<sub>3</sub>O<sub>4</sub> is a soft magnetic material, Fe<sub>3</sub>O<sub>4</sub> finds potential applications in magnetic memory devices. |
| first_indexed | 2024-04-11T07:02:41Z |
| format | Article |
| id | doaj.art-b01ec57b6abf48c4845a621f5d1dc798 |
| institution | Directory Open Access Journal |
| issn | 2513-2814 2513-230X |
| language | English |
| last_indexed | 2024-04-11T07:02:41Z |
| publishDate | 2019-09-01 |
| publisher | Faculty of Science, University of Peradeniya, Sri Lanka |
| record_format | Article |
| series | Ceylon Journal of Science |
| spelling | doaj.art-b01ec57b6abf48c4845a621f5d1dc7982022-12-22T04:38:36ZengFaculty of Science, University of Peradeniya, Sri LankaCeylon Journal of Science2513-28142513-230X2019-09-0148321722310.4038/cjs.v48i3.76455766The magnetic properties of Fe<sub>3</sub>O<sub>4</sub> thick films as described by third order perturbed Heisenberg HamiltonianP. Samarasekara0S. Dehipawala1University of Peradeniya, PeradeniyaQueensborough Community College of CUNY, 222-05, 56th Avenue, Bayside, NY 11364Thick films of Fe<sub>3</sub>O<sub>4</sub> up to 10000 spin layers have been explained using third order perturbed modified Heisenberg Hamiltonian with seven magnetic parameters. Total magnetic energy and orientation of magnetic easy directions were determined for spinel structure of Fe<sub>3</sub>O<sub>4</sub> with octahedral and tetrahedral sites. The effect of number of spin layers and stress induced anisotropy on magnetic properties was investigated. 3-D plot of energy versus angle and number of spin layers was plotted to determine the number of spin layers corresponding to minimum magnetic energy. Magnetic easy axis was found by plotting a graph of energy versus angle for one particular value of the previously-mentioned number of spin layers. Similarly, 3-D and 2-D graphs were plotted for stress induced anisotropy. For film with 4 spin layers, magnetic easy directions were found to be <span>θ</span> = 2.3, 2.5, 5.6 radians, …. When the ratio of stress induced anisotropy to strength of long-range dipole interaction is 2, magnetic easy direction was found to be <span>θ</span> = 2.6 radians. Here the angles were measured with respect to a line drawn normal to the film plane. Because Fe<sub>3</sub>O<sub>4</sub> is a soft magnetic material, Fe<sub>3</sub>O<sub>4</sub> finds potential applications in magnetic memory devices.https://cjs.sljol.info/articles/7645third order perturbation, heisenberg hamiltonian, ferrites, fe3o4, easy direction |
| spellingShingle | P. Samarasekara S. Dehipawala The magnetic properties of Fe<sub>3</sub>O<sub>4</sub> thick films as described by third order perturbed Heisenberg Hamiltonian Ceylon Journal of Science third order perturbation, heisenberg hamiltonian, ferrites, fe3o4, easy direction |
| title | The magnetic properties of Fe<sub>3</sub>O<sub>4</sub> thick films as described by third order perturbed Heisenberg Hamiltonian |
| title_full | The magnetic properties of Fe<sub>3</sub>O<sub>4</sub> thick films as described by third order perturbed Heisenberg Hamiltonian |
| title_fullStr | The magnetic properties of Fe<sub>3</sub>O<sub>4</sub> thick films as described by third order perturbed Heisenberg Hamiltonian |
| title_full_unstemmed | The magnetic properties of Fe<sub>3</sub>O<sub>4</sub> thick films as described by third order perturbed Heisenberg Hamiltonian |
| title_short | The magnetic properties of Fe<sub>3</sub>O<sub>4</sub> thick films as described by third order perturbed Heisenberg Hamiltonian |
| title_sort | magnetic properties of fe sub 3 sub o sub 4 sub thick films as described by third order perturbed heisenberg hamiltonian |
| topic | third order perturbation, heisenberg hamiltonian, ferrites, fe3o4, easy direction |
| url | https://cjs.sljol.info/articles/7645 |
| work_keys_str_mv | AT psamarasekara themagneticpropertiesoffesub3subosub4subthickfilmsasdescribedbythirdorderperturbedheisenberghamiltonian AT sdehipawala themagneticpropertiesoffesub3subosub4subthickfilmsasdescribedbythirdorderperturbedheisenberghamiltonian AT psamarasekara magneticpropertiesoffesub3subosub4subthickfilmsasdescribedbythirdorderperturbedheisenberghamiltonian AT sdehipawala magneticpropertiesoffesub3subosub4subthickfilmsasdescribedbythirdorderperturbedheisenberghamiltonian |