PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2013 | 11 | 11 | 1567-1579
Article title

The mixed spin-1/2 and spin-1 Ising system on a two-layer Bethe lattice

Content
Title variants
Languages of publication
EN
Abstracts
EN
Two layered magnetic Bethe lattice with varying coordination number q is introduced and numerically studied via exact recursion relations within a pairwise approach. The system is influenced by competing interlayer and intralayer nearest-neighbour (NN) coupling interactions and also by the crystal and external magnetic fields. Cases where both layers are ferromagnetic or one is ferro and the other antiferromagnetic are considered. System configurations’ energy calculations are used to devise some ground state phase diagrams that have proven useful for the investigation of the very low temperature behaviour of the model. Analysis of the thermal behaviours of the total magnetization within the model parameters’ space yield interesting phase diagrams which display fascinating properties, in particular the presence of tricritical points. Increasing negative values of the crystal field strength stabilizes the disordered paramagnetic phase and sometimes gives rise to wavy transition lines.
Publisher

Journal
Year
Volume
11
Issue
11
Pages
1567-1579
Physical description
Dates
published
1 - 11 - 2013
online
10 - 12 - 2013
Contributors
author
  • Département de Physique (FAST) et Institut de Mathématiques et de Sciences Physiques (IMSP), Université d’Abomey-Calavi, 01 BP 613, Porto-Novo, Benin
  • Département de Physique (FAST) et Institut de Mathématiques et de Sciences Physiques (IMSP), Université d’Abomey-Calavi, 01 BP 613, Porto-Novo, Benin
  • Département de Physique (FAST) et Institut de Mathématiques et de Sciences Physiques (IMSP), Université d’Abomey-Calavi, 01 BP 613, Porto-Novo, Benin, hontinfinde@yahoo.fr
References
  • [1] L. Néel, Ann. Phys. 3, 137 (1948)
  • [2] D. Gatteshi, O. Khan, J. S. Miller, F. Palacio (Eds.), Magnetic Molecular Materials, In: NATO ASI Series (Kluwer Academic, Dordrecht, 1991)
  • [3] O. Khan, Molecular Magnetism (VCH Publishers, New York, 1993)
  • [4] O. Kahn, in: E. Coronado, et al. (Eds.), Molecular Magnetism: From Molecular Assemblies to the Devices, (Kluwer Academic Publishers, Dordrecht, 1996)
  • [5] S. L. Schofield, R. G. Bowers, J. Phys. A 13, 3697 (1980) http://dx.doi.org/10.1088/0305-4470/13/12/019[Crossref]
  • [6] N. Benayad, J. Zittartz, Z. Phys. B 81, 107 (1990) http://dx.doi.org/10.1007/BF01454221[Crossref]
  • [7] B. Boechat, R. A. Filgueiras, L. Marins, C. Cordeiro, N. S. Branco, Mod. Phys. Lett. B 14, 749 (2000) http://dx.doi.org/10.1142/S0217984900000938[Crossref]
  • [8] B. Boechat, R. A. Filgueiras, C. Cordeiro, N. S. Branco, Physica A 304, 429 (2002) http://dx.doi.org/10.1016/S0378-4371(01)00560-X[Crossref]
  • [9] S. L. Schofield, R. G. Bower, J. Phys. A Math. Gen. 14, 2163 (1981) http://dx.doi.org/10.1088/0305-4470/14/8/036[Crossref]
  • [10] B. Y. Yousif, R. G. Bower, J. Phys. A Math. Gen. 17, 3389 (1984) http://dx.doi.org/10.1088/0305-4470/17/17/016[Crossref]
  • [11] F. K. Tang, J. Phys. A 21, L1097 (1988) http://dx.doi.org/10.1088/0305-4470/21/22/010[Crossref]
  • [12] E. Albayrak, M. Keskin, J. Magn. Magn. Mater. 261, 196 (2003) http://dx.doi.org/10.1016/S0304-8853(02)01473-7[Crossref]
  • [13] T. Iwashita, N. Uryu, Phys. Lett. A 96, 311 (1983) http://dx.doi.org/10.1016/0375-9601(83)90187-1[Crossref]
  • [14] T. Iwashita, N. Uryu, J. Phys. Soc. Jpn. 53, 721 (1984) http://dx.doi.org/10.1143/JPSJ.53.721[Crossref]
  • [15] T. Iwashita, N. Uryu, Phys. Stat. Sol. (b) 125, 551 (1984) http://dx.doi.org/10.1002/pssb.2221250215[Crossref]
  • [16] T. Kaneyoshi, Phys. Rev. B 34, 7866 (1986) http://dx.doi.org/10.1103/PhysRevB.34.7866[Crossref]
  • [17] T. Kaneyoshi, J. Phys. Soc. Jpn. 56, 2675 (1987) http://dx.doi.org/10.1143/JPSJ.56.2675[Crossref]
  • [18] T. Kaneyoshi, J. Phys. Soc. Jpn. 58, 1755 (1989) http://dx.doi.org/10.1143/JPSJ.58.1755[Crossref]
  • [19] T. Kaneyoshi, J. Magn. Magn. Mater. 98, 201 (2000) http://dx.doi.org/10.1016/0304-8853(91)90444-F[Crossref]
  • [20] A. L. De Lima, B. D. Stošic, I. F. Fittipaldi, J. Magn. Magn. Mater. 226–230, 635 (2001) http://dx.doi.org/10.1016/S0304-8853(00)01116-1[Crossref]
  • [21] T. Kaneyoshi, Solid State Commun. 70, 975 (1989) http://dx.doi.org/10.1016/0038-1098(89)90640-6[Crossref]
  • [22] T. Kaneyoshi, E. F. Sarmento, I. F. Fittipaldi, Phys. Stat. Sol. (B) 150, 261 (1988) http://dx.doi.org/10.1002/pssb.2221500129[Crossref]
  • [23] J. A. Plascak, Physica A 198, 655 (1993) http://dx.doi.org/10.1016/0378-4371(93)90245-Y[Crossref]
  • [24] T. Kaneyoshi, J. C. Chen, J. Magn. Magn. Mater. 98, 201 (1991) http://dx.doi.org/10.1016/0304-8853(91)90444-F[Crossref]
  • [25] N. Benayad, A. Klümper, J. Zittartz, A. Benyoussef, Z. Phys. B Condens. Matter 77, 333 (1989) http://dx.doi.org/10.1007/BF01313678[Crossref]
  • [26] G. M. Zhang, C. Z. Yang, Phys. Rev. B 48, 9452 (1993) http://dx.doi.org/10.1103/PhysRevB.48.9452[Crossref]
  • [27] G. M. Buendia, M. A. Novotny, J. Zhang, In: D. P. Landau, K. K. Mon, H. B. Schüttler (Eds.) Computer Simulations in Condensed Matter Physics VII (Springer Proceeds in Physics 78, Springer, Heidelberg, 1994) 223
  • [28] G. M. Buendia, M. A. Novotny, J. Phys. Condens. Matter 9, 5951 (1997) http://dx.doi.org/10.1088/0953-8984/9/27/021[Crossref]
  • [29] H. F. V. De Resende, F. C. Sa Barreto, J. A. Plascak, Physica A 149, 606 (1988) http://dx.doi.org/10.1016/0378-4371(88)90121-5[Crossref]
  • [30] J. W. Tucker, J. Magn. Magn. Mater. 195, 733 (1999) http://dx.doi.org/10.1016/S0304-8853(99)00302-9[Crossref]
  • [31] H. J. Elmers, Int. J. Mod. Phys. B 9, 3115 (1995) http://dx.doi.org/10.1142/S0217979295001191[Crossref]
  • [32] U. Bovensiepen et al., Phys. Rev. Lett. 81, 2368 (1998) http://dx.doi.org/10.1103/PhysRevLett.81.2368[Crossref]
  • [33] H. Matsuyama, C. Haginoya, K. Koike, Phys. Rev. Lett. 85, 646 (2000) http://dx.doi.org/10.1103/PhysRevLett.85.646[Crossref]
  • [34] H. Ohldag, A. Scholl, F. Nolting, S. Anders, F. U. Hillebrecht, J. Stohr, Phys. Rev. Lett. 86, 2878 (2001) http://dx.doi.org/10.1103/PhysRevLett.86.2878[Crossref]
  • [35] G. Chern, L. Horng, W. K. Shieh, T. C. Wu, Phys. Rev. B 63, 94421 (2001) http://dx.doi.org/10.1103/PhysRevB.63.094421[Crossref]
  • [36] Y. Ijiri, J. A. Borchers, R. W. Erwin, S.-H. Lee, P. J. van der Zaag, R. M. Wolf, Phys. Rev. Lett. 80, 608 (1998) http://dx.doi.org/10.1103/PhysRevLett.80.608[Crossref]
  • [37] An Du, Yan Ma, Zeng-hui Wu, J. Magn. Magn. Mater. 305, 233 (2006) http://dx.doi.org/10.1016/j.jmmm.2006.01.007[Crossref]
  • [38] M. N. Baibich et al., Phys. Rev. Lett. 61, 2472 (1988) http://dx.doi.org/10.1103/PhysRevLett.61.2472[Crossref]
  • [39] G. Binasch, P. Grunberg, F. Saurenbach, W. Zinn, Phys. Rev. B 39, 4828 (1989) http://dx.doi.org/10.1103/PhysRevB.39.4828[Crossref]
  • [40] R. Wu, A. J. Freeman, Phys. Rev. B 45, 7205 (1992) http://dx.doi.org/10.1103/PhysRevB.45.7205[Crossref]
  • [41] M. Donath, J. Phys.: Condens. Matter 11, 9421 (1999)
  • [42] Digest 13-th Int. Colloq. on Magnetic Films and Surfaces, Glasgow, (1991)
  • [43] Z. B. Li, Z. Shuai, Q. Wang, H. J. Luo, L. Schülke, J. Phys. A Math. Gen. 34, 6069 (2001) http://dx.doi.org/10.1088/0305-4470/34/31/302[Crossref]
  • [44] A. M. Ferrenberg, D. P. Landau, J. Appl. Phys. 70, 6215 (1991) http://dx.doi.org/10.1063/1.349999[Crossref]
  • [45] J. Oitmaa, I. G. Enting, J. Phys. A Math. Gen. 8, 1097 (1975) http://dx.doi.org/10.1088/0305-4470/8/7/013[Crossref]
  • [46] A. Lipowski, Physica A 250, 373 (1998) http://dx.doi.org/10.1016/S0378-4371(97)00551-7[Crossref]
  • [47] M. Kurota, R. Kikuchi, T. Watari, J. Chem. Phys. 21, 434 (1953) http://dx.doi.org/10.1063/1.1698926[Crossref]
  • [48] C. Domb, Adv. Phys. 9, 208 (1960)
  • [49] N. Sh. Izmailian, C.-K. Hu, Physica A 254, 198 (1998) http://dx.doi.org/10.1016/S0378-4371(98)00193-9[Crossref]
  • [50] N. R. da Silva, S. R. Salinas, Phys. Rev. B 44, 852 (1991) http://dx.doi.org/10.1103/PhysRevB.44.852[Crossref]
  • [51] R. A. Yessoufou, S. Bekhechi, F. Hontinfinde, Eur. Phys. J. B 81, 137 (2011) and references therein. http://dx.doi.org/10.1140/epjb/e2011-10825-7[Crossref]
  • [52] J. Kple, R. A. Yessoufou, F. Hontinfinde, Afr. Rev. Phys. 7, 319 (2012) and references therein.
  • [53] C.-K. Hu, N. Sh. Izmailian, K. B. Oganesyan, Phys. Rev. E 59, 6489 (1999) http://dx.doi.org/10.1103/PhysRevE.59.6489[Crossref]
  • [54] E. Albayrak, O. Canko, Physica A 373, 363 (2007) http://dx.doi.org/10.1016/j.physa.2006.04.114[Crossref]
  • [55] O. Canko, E. Albayrak, Phys. Rev. E 75, 011116 (2007) http://dx.doi.org/10.1103/PhysRevE.75.011116[Crossref]
  • [56] E. Albayrak, S. Yilmaz, Physica A 387, 1173 (2008) http://dx.doi.org/10.1016/j.physa.2007.10.060[Crossref]
  • [57] E. Albayrak, A. Yigit, Chin. Phys. B. 18, 4193 (2009) http://dx.doi.org/10.1088/1674-1056/18/10/020[Crossref]
  • [58] E. Albayrak, A. Yigit, Acta Physica Polonica A 116, 127 (2009)
  • [59] K. Htoutou, A. Ainane, M. Saber, J. Magn. Magn. Mater. 269, 245 (2004) http://dx.doi.org/10.1016/j.jmmm.2003.07.002[Crossref]
  • [60] E. Albayrak, S. Yilmaz, S. Akkaya, Physica A 381, 189 (2007) http://dx.doi.org/10.1016/j.physa.2007.03.040[Crossref]
  • [61] S. Chikazumi, Physics of Ferromagnetism (Oxford University Press, Oxford, 1997)
  • [62] B. Barbara, D. Gignoux, C. Vettier, Lectures on Modern Magnetism (Springer, Berlin, 1988)
  • [63] J. Strecka, Physica A 360, 379 (2006) http://dx.doi.org/10.1016/j.physa.2005.07.012[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0286-1
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.