Spin-1 Blume–Capel model with longitudinal random crystaland transverse magnetic fields：a mean-field approach

doi:10.1088/1674-1056/22/7/077501

Abstract The spin-1 Blume-Capel model with transverse Ω and longitudinal external magnetic fields h in addition to a longitudinal random crystal field D is studied in the mean-field approximation. It is assumed that the crystal field is either turned on with probability p or turned off with probability 1-p on the sites of a square lattice. Then the phase diagrams are calculated on the reduced temperature-crystal field planes for given values of γ=Ω/J and p at zero h. Thus, the effect of changing γ and p are illustrated on the phase diagrams in a great detail and interesting results are observed.

Keywords: random crystal field transverse field spin-1 Blume-Capel model

Received: 17 December 2012
Revised: 23 February 2013
Accepted manuscript online:

PACS:	75.10.Hk	(Classical spin models)
	75.30.Kz	(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
	75.50.Gg	(Ferrimagnetics)

Corresponding Authors: Erhan Albayrak
E-mail: albayrak@erciyes.edu.tr

Cite this article:

Erhan Albayrak Spin-1 Blume–Capel model with longitudinal random crystaland transverse magnetic fields：a mean-field approach 2013 Chin. Phys. B 22 077501

[1]	Maritan A, Cieplak M, Swift M R, Toigo F and Banavar J R 1992 Phys. Rev. Lett. 69 221
[2]	de Gennes P G 1963 Solid State Commun. 1 132
[3]	Kaneyoshi T 1986 J. Phys. C: Solid State Phys. 19 L557
[4]	Benyoussef A, Biaz T, Saber M and Touzani M 1987 J. Phys. C: Solid State Phys. 20 5349
[5]	Carneiro C E I, Henriques V B and Salinas S R 1989 J. Phys.: Condens. Matter 1 3687
[6]	Kaneyoshi T 1988 J. Phys. C: Solid State Phys. 21 L679
[7]	Boccara N, Elkenz A and Saber M 1989 J. Phys.: Condens. Matter 1 5721
[8]	Kaneyoshi T and Mielnicki J 1990 J. Phys.: Condens. Matter 2 8773
[9]	T. Kaneyoshi 1992 Phys. Status Solidi (b) 170 313
[10]	Carneiro C E I, Henriques V B and Salinas S R 1990 J. Phys. A: Math. Gen. 23 3383
[11]	Ilkovič V 1995 Phys. Status Solidi (b) 192 K7
[12]	Borelli M E S and Carneiro C E I 1996 Physica A 230 249
[13]	Albayrak E 2011 Physica A 390 1529
[14]	Branco N S and Boechat B M 1997 Phys. Rev. B 56 11673
[15]	Branco N S 1999 Phys. Rev. B 60 1033
[16]	Buzano C, Maritan A and Pelizzola A 1994 J. Phys.: Condens. Matter 6 327
[17]	Ananikian N S, Avakian A R and Izmailian N S 1991 Physica A 172 391
[18]	Sarmento E F, Fittipaldi I P and Kaneyoshi T 1992 J. Magn. Magn. Mater. 104 233
[19]	Dai S T, Jiang Q and Li Z Y 1990 Phys. Rev. B 42 2597
[20]	Jiang X F, Li J L, Zhong J L and Yang C Z 1993 Phys. Rev. B 47 827
[21]	Jiang X F 1994 J. Magn. Magn. Mater. 134 167
[22]	Htoutou K, Benaboud A, Ainane A and Saber M 2004 Physica A 338 479
[23]	Htoutou K, Oubelkacem A, Ainane A and Saber M 2005 J. Magn. Magn. Mater. 288 259
[24]	Miao H, Wei G, Liu J and Geng J 2009 J. Magn. Magn. Mater. 321 102
[25]	Saxena V K 1983 Phys. Rev. B 27 6884
[26]	Zhong J L, Yang C Z and Li J L 1991 J. Phys: Condens. Matter 3 1301
[27]	Fittipaldi I P, Sarmento E F and Kaneyoshi T 1992 Physica A 186 591
[28]	Buzano C and Vadacchino M 1983 Z. Phys. B: Condens. Matter 53 63
[29]	Yuksel Y and Polat H 2010 J. Magn. Magn. Mater. 322 3907
[30]	Benyoussef A and Ez-Zahraouy H 1994 J. Phys.: Condens. Matter 6 3411
[31]	Benayad N, Zerhouni R and Klümper A 1998 Eur. Phys. J. B 5 687
[32]	Albayrak E and Keskin M 1999 J. Magn. Magn. Mater. 206 83

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Spin-1 Blume–Capel model with longitudinal random crystaland transverse magnetic fields：a mean-field approach

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