Yıl 2018, Cilt 22, Sayı 6, Sayfalar 1901 - 1906 2018-12-01

Investigation of Magnetic Properties of Spin 5/2 Ising Chain by Using Transfer Matrix Method
Transfer Matris Yöntemi Kullanılarak Spin 5/2 Ising Zincirinin Manyetik Özelliklerinin İncelenmesi

Mehmet Gökhan Şensoy [1] , Mehmet Batı [2]

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A magnetic property of the one dimensional spin 5/2 Ising model under the magnetic field has been investigated by means of transfer matrix method. Thermodynamic response functions are also obtained for varying values of scaling temperature and scaling magnetic field. Entropy and heat capacity of the system were calculated by benefiting from the temperature dependencies of Helmholtz free energy. Our simulation results demonstrate that as the strength of the magnetic field is increased, heat capacity tend to shift to the relatively higher temperature regions, and these findings are consistent with previous results for the low spin values in one dimensional Ising systems.

 Manyetik alan altındaki bir boyutlu spin 5/2 Ising modelinin manyetik özellikleri transfer matris metodu kullanılarak incelenmiştir. Termodinamik cevap fonksiyonları ölçeklendirilmiş sıcaklık ve manyetik alanın farklı değerleri için elde edilmiştir. Helmholtz serbest enerjisinin sıcacklığa bağlı değişiminden yararlanarak, sistemin entropi ve ısı kapasitesi hesaplanmıştır. Similasyon sonuçları, manyetik alan şiddetinin artmasıyla ısı kapasitesinin bağıl olarak daha yüksek sıcaklık bölgesine kaydığını göstermektedir ve bu bulgular düşük spin değerli bir boyutlu Ising sistemleri için elde edilen daha önceki sonuçlar ile uyumludur.

  • [1] Kodama, R. H., “Magnetic nanoparticles,” Journal of Magnetism and Magnetic Materials, vol. 200, pp. 359-372, 1999. [2] Zeng, H, Li, J., Liu, J.P, Wang, Z. L., and Sun, S., “Exchange-coupled nanocomposite magnets by nanoparticle self-assembly,” Nature, vol. 420, pp. 395-398, 2002. [3] Kodama, R. H., Berkowitz, A. E., McNiff, E. J. and Foner, J. S., “Surface Spin Disorder in NiFe2O4 Nanoparticles,” Physical Review Letters, vol. 774, pp. 394-397, 1996. [4] V. S. Leite and W. Figueiredo,” Spin-glass surface disorder on the magnetic behaviour of antiferromagnetic small particles,” Physica A: Statistical Mechanics and its Applications, vol. 350, pp. 379-392, 2005. [5] Sarli, N. and Keskin, M., “Two distinct magnetic susceptibility peaks and magnetic reversal events in a cylindrical core/shell spin-1 Ising nanowire,” Solid State Communucations, vol 152, pp. 354-359, 2012. [6] Eglesias, O, Battle, X, and Labarta, A., “Microscopic origin of exchange bias in core/shell nanoparticles,” Physical Review B, vol. 72, pp. 212401, 2005. [7] Garanin, D. A. and Kachkachi, H., “Surface Contribution to the Anisotropy of Magnetic Nanoparticles,” Physical Review Letters, vol. 90, pp. 65504, 2003. [8] Pathria, R. K. and Beale, P.D., “Statistical Mechanics”, Third Edition, Academic Press, 2011. [9] Ising, E., “Beitrag zur Theorie des Ferromagnetismus”, Zeitschrift für Physik, vol. 31, pp. 253 1925. [10] Vatansever, Z.D., Vatansever, E., “Thermal and magnetic phase transition properties of a binary alloy spherical nanoparticle: A Monte Carlo simulation study,” Journal of Magnetism and Magnetic Materials, vol. 432, pp. 239-244, 2017. [11 Vatansever, Z.D., Vatansever, E., “Finite temperature magnetic phase transition features of the quenched disordered binary alloy cylindrical nanowire,” Journal of Alloys and Compounds vol. 701, pp. 288-294, 2017. [12] Ovchinnikov, A.S., Bostrem, I.G., Sinitsyn, V.E., Boyarchenkov, A.S., Baranov, N.V., Inoue, K., “Low-energy excitations and thermodynamical properties of the quantum (5/2, 1/2, 1/2) ferrimagnetic chain,” Journal of Physics: Condensed Matter, vol. 14, no. 34, pp. 8067-8078, 2002. [13] Kassan-Ogly, F.A., “One-dimensional ising model with next-nearest-neighbour interaction in magnetic field,” Phase Transitions, vol 14, pp. 353-365, 2001. [14] Proshkin, A. I., Ponomareva, T. Yu., Menshikh, I. A., Zarubin, A. V. and Kassan-Ogly, F. A., “Correlation function of one-dimensional s = 1 Ising model,” Physics of Metals and Metallography, vol. 118, no. 10, pp. 929-934, 2017. [15] Anderson, P. W., “New Approach to the Theory of Superexchange Interactions,” Physical Review B, vol. 115, pp. 2, 1959. [16] Kittel, C., “Model of Exchange-Inversion Magnetization,” Physical Review B, vol. 120, pp. 335, 1960. [17] Rodbell, D. S. and Owen, J., “Sublattice Magnetization and Lattice Distortions in MnO and NiO,” Journal of Applied Physics, vol. 35, pp. 1002-1003, 1964. [18] Iwashita, T. and Uryu, N., “Higher Order Spin Coupling in Complex Compounds,” Journal of the Physical Society of Japan, vol.36, pp. 48-54, 1974. [19] Koebler, U., Englich, J., Hupe, O. and Hesse, J., “Effective spin quantum numbers in iron, cobalt and nickel,” Physica B: Condensed Matter, vol. 339, pp. 156-163, 2003. [20] Kaneyoshi, T., Jascur, M., “Contribution to the Theory of the spin 5/2 Blume-Capel Model” “Physica Status Solidi (b) vol. 175, pp. 225-236, 1993. [21] Saber, M., Tucker, J.W., “Phase Diagram and Magnetization Moments of the Spin-5/2 Diluted Ising Ferromagnet in a Transverse Field”, Physica Status Solidi (b) vol. 189, pp. 229-238, 1995. [22] Song, W.J., Yang, C.Z. , “FRG-DPIR study of spin-5/2 Ising model with a random transverse field,” Solid State Com., vol. 92 pp. 361-364, 1994. [23] Kramers, H. A. and Wannier, G. H., “Statistics of the Two-Dimensional Ferromagnet. Part I,” Physical Review, vol. 60, pp. 252-262, 1941. [24] Kramers, H. A. and Wannier, G. H., “Statistics of the Two-Dimensional Ferromagnet. Part II,” Physical Review, vol 60, pp. 263-276, 1941.
Birincil Dil en
Konular Fizik, Uygulamalı
Yayımlanma Tarihi December 2018
Dergi Bölümü Araştırma Makalesi
Yazarlar

Yazar: Mehmet Gökhan Şensoy (Sorumlu Yazar)
Kurum: Department of Physics, Recep Tayyip Erdogan University
Ülke: Turkey


Yazar: Mehmet Batı
Kurum: Department of Physics, Recep Tayyip Erdogan University
Ülke: Turkey


Bibtex @araştırma makalesi { saufenbilder417384, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {Sakarya Üniversitesi}, year = {2018}, volume = {22}, pages = {1901 - 1906}, doi = {10.16984/saufenbilder.417384}, title = {Investigation of Magnetic Properties of Spin 5/2 Ising Chain by Using Transfer Matrix Method}, key = {cite}, author = {Şensoy, Mehmet Gökhan and Batı, Mehmet} }
APA Şensoy, M , Batı, M . (2018). Investigation of Magnetic Properties of Spin 5/2 Ising Chain by Using Transfer Matrix Method. Sakarya University Journal of Science, 22 (6), 1901-1906. DOI: 10.16984/saufenbilder.417384
MLA Şensoy, M , Batı, M . "Investigation of Magnetic Properties of Spin 5/2 Ising Chain by Using Transfer Matrix Method". Sakarya University Journal of Science 22 (2018): 1901-1906 <http://www.saujs.sakarya.edu.tr/issue/31266/417384>
Chicago Şensoy, M , Batı, M . "Investigation of Magnetic Properties of Spin 5/2 Ising Chain by Using Transfer Matrix Method". Sakarya University Journal of Science 22 (2018): 1901-1906
RIS TY - JOUR T1 - Investigation of Magnetic Properties of Spin 5/2 Ising Chain by Using Transfer Matrix Method AU - Mehmet Gökhan Şensoy , Mehmet Batı Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.417384 DO - 10.16984/saufenbilder.417384 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1901 EP - 1906 VL - 22 IS - 6 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.417384 UR - http://dx.doi.org/10.16984/saufenbilder.417384 Y2 - 2018 ER -
EndNote %0 Sakarya University Journal of Science Investigation of Magnetic Properties of Spin 5/2 Ising Chain by Using Transfer Matrix Method %A Mehmet Gökhan Şensoy , Mehmet Batı %T Investigation of Magnetic Properties of Spin 5/2 Ising Chain by Using Transfer Matrix Method %D 2018 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 22 %N 6 %R doi: 10.16984/saufenbilder.417384 %U 10.16984/saufenbilder.417384
ISNAD Şensoy, Mehmet Gökhan , Batı, Mehmet . "Transfer Matris Yöntemi Kullanılarak Spin 5/2 Ising Zincirinin Manyetik Özelliklerinin İncelenmesi". Sakarya University Journal of Science 22 / 6 (Aralık 2018): 1901-1906. http://dx.doi.org/10.16984/saufenbilder.417384