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Glassy phase and thermodynamics for random field Ising model on spherical lattice in magnetic field |
| Khalid Bannoraa), Galal Ismaila)†, and Wafaa Hassanb) |
| a Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt; b Mathematics and Physics Department, Faculty of Engineering, Port Said Branch of Suez Canal University, Port Said, Egypt |
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Abstract Phase diagram and thermodynamic parameters of the random field Ising model (RFIM) on spherical lattice are studied by using mean field theory. This lattice is placed in an external magnetic field (B). The random field (hi) is assumed to be Gaussian distributed with zero mean and a variance < hi2 > = HRF2 . The free energy (F), the magnetization (M) and the order parameter (q) are calculated. The ferromagnetic (FM) spin-glass (SG) phase transition is clearly observed. The critical temperature (TC) is computed under a critical intensity of random field $H_{\rm RF}=\sqrt{2/\pi}J$. The phase transition from FM to paramagnetic (PM) occurs at TC = J / k in the absence of magnetic field. The critical temperature decreases as HRF increases in the phase boundary of FM-to-SG. The magnetic susceptibility ($\chi$) shows a sharp cusp at TC and the specific heat (C) has a singularity in small random field. The internal energy (U) has a similar behaviour to that obtained from the Monte Carlo simulation.
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Received: 18 October 2009
Revised: 04 March 2010
Accepted manuscript online:
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PACS:
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75.10.Hk
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(Classical spin models)
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75.10.Nr
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(Spin-glass and other random models)
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75.30.Cr
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(Saturation moments and magnetic susceptibilities)
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75.30.Kz
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(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
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75.40.Cx
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(Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.))
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75.60.Ej
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(Magnetization curves, hysteresis, Barkhausen and related effects)
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Cite this article:
Khalid Bannora, Galal Ismail, and Wafaa Hassan Glassy phase and thermodynamics for random field Ising model on spherical lattice in magnetic field 2010 Chin. Phys. B 19 107501
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| [1] |
Nattermann T 1997 Spin Glasses and Random Fields ed. Young P (Sigapore: World Scientific)
|
| [2] |
Montenegro F C, King A R, Jaccarino V, Han S J and Belanger D P 1991 Phys. Rev. B 44 2155
|
| [3] |
Efors A L and Shklovskii B I 1975 J. Phys. C 8 L49
|
| [4] |
Kirkpatrick T R and Beltiz D 1994 Phys. Rev. Lett. 73 862
|
| [5] |
Kirkpatrick T R and Beltiz D 1995 Phys. Rev. Lett. 74 1178
|
| [6] |
Pastor A A and Dobrosavljevic V 1999 Phys. Rev. Lett. 83 4642
|
| [7] |
Sethna J P, Dahmen K, Kartha S, Krumhansl J A, Roberts B W and Shore J D 1993 Phys. Rev. Lett. 70 3347
|
| [8] |
Perkovic O, Dahmen K and Sethan J 1995 Phys. Rev. Lett. 75 4528
|
| [9] |
Ioffe L B and Lopatin A V 2001 J. Phys. C 13 L371
|
| [10] |
Marinari E, Parisi G and Ritort F 1994 J. Phys. A 27 7647
|
| [11] |
Chandaka P, Ioffe L B and Sherrington D 1995 Phys. Rev. Lett. 75 713
|
| [12] |
Manasson R 1995 Phys. Rev. Lett. 75 2847
|
| [13] |
Franz S and Parisi G 1997 Phys. Rev. Lett. 79 2486
|
| [14] |
Mezard M and Parisi G 1999 Phys. Rev. Lett. 82 747
|
| [15] |
Mezard M 1999 Physica A 265 352
|
| [16] |
Kirkpatrick T R and Thirumalai D 1989 J. Phys. 2 L149
|
| [17] |
Schmalian J and Wolynes P G 2000 Phys. Rev. Lett. 85 835
|
| [18] |
Westfalhl H and Wolynes P G 2001 Int. J. Mod. Phys. B 15 3292
|
| [19] |
Parisi G and Sourla N 1978 Phys. Rev. Lett. 43 744
|
| [20] |
Imry Y and Ma S K 1975 Phys. Rev. Lett. 35 1399
|
| [21] |
Imbrie J Z 1984 Phys. Rev. Lett. 53 1747
|
| [22] |
Mezard M and Young A P 1992 Europhys. Lett. 18 632
|
| [23] |
Bray A J 1974 Phys. Rev. Lett. 32 1413
|
| [24] |
Lancaster D, Marinari E and Parisi G 1995 J. Phys. A 28 3359
|
| [25] |
Mezard M and Monasson R 1994 Phys. Rev. B 50 7199
|
| [26] |
Dominicis C de, Orland H and Temisvari T 1996 J. Phys. I 5 987
|
| [27] |
Pastor A A, Dobrosavljevic V and Horbach M L 2002 Phys. Rev. B 66 014413
|
| [28] |
Machta J, Newman M E J and Chayes L B 2000 Phys. Rev. E 62 8732
|
| [29] |
Sourlas N 1999 Comput. Phys. Commun. 122 183
|
| [30] |
Hartmann A K and Young A P 2001 Phys. Rev. B 64 214419
|
| [31] |
Itakura M 2001 Phys. Rev. B 63 104427
|
| [32] |
Silva-Neto O D da 1999 DSc. Thesis Universidade Federal de Pernambuco
|
| [33] |
Ismail G and Salem A A 1993 Phys. Rev. B 47 14237
|
| [34] |
Ismail G 2003 Rev. Mex. Fis. 49 194
|
| [35] |
Rastelli E, Regina S and Tassi A 2007 Phys. Rev. B 76 054438
|
| [36] |
Yoshino H and Rizzo T 2008 Phys. Rev. B 77 104429
|
| [37] |
Belanger D P 1992 Phys. Rev. B 46 2926
|
| [38] |
Nattermann T 1990 Phys. Rev. Lett. 64 2454
|
| [39] |
Belanger D P 2000 Ising Centennial Colloquium
|
| [40] |
Andelman D 1986 Phys. Rev. B 34 6214
|
| [41] |
Vilfan I and Stefan J 1985 Solid State Commun. 54 795
|
| [42] |
Sherrington D and Kirkpatrick S 1978 Phys. Rev. B 11 17
|
| [43] |
Ismail G, Wahsh H and Hassan W 2004 Bull. Fac. Sci. Assiut Univ. A 33 1
|
| [44] |
Binder K and Young A P 1986 Rev. Mod. Phys. 58 4
|
| [45] |
Rosas A and Coutinho S 2004 Physica A 335 115 endfootnotesize
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