Position space renormalization group study of the spin-1 random semi-infinite Blume–Capel model

Bouziani, M. El; Gaye, Abou; Jellal, Ahmed

doi:10.1016/j.physa.2012.10.007

Cited by 10 publications

(2 citation statements)

References 32 publications

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“…The BC model was first studied by molecular field approximation (MFA) [1,2,4], and later explored by other methods and techniques beyond MFA such as the effective field approximations (EFA) [5][6][7][8][9][10] and the cluster variation methods (CVM) [11][12][13]. It was also investigated by high-and low-temperatures series expansions [14][15][16], Monte Carlo (MC) simulations [17][18][19][20][21][22] and by position-space renormalization group [23][24][25]. Some variants of the BC model with other spin variables and the presence of disorder in the fields and/or interactions have been objecting of recent studies [26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

The Blume–Capel model on hierarchical lattices: Exact local properties

Rocha-Neto

Camelo-Neto

Nogueira³

et al. 2018

Physica A: Statistical Mechanics and its Applications

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The local properties of the spin one ferromagnetic Blume-Capel model defined on hierarchical lattices with dimension two and three are obtained by a numerical recursion procedure and studied as functions of the temperature and the reduced crystal-field parameter. The magnetization and the density of sites in the configuration S = 0 state are carefully investigated at low temperature in the region of the phase diagram that presents the phenomenon of phase reentrance. Both order parameters undergo transitions from the ferromagnetic to the ordered paramagnetic phase with abrupt discontinuities that decrease along the phase boundary at low temperatures. The distribution of magnetization in a typical profile was determined on the transition line presenting a broad multifractal spectrum that narrows towards the fractal limit (single point) as the discontinuities of the order parameters grow towards a maximum. The amplitude of the order-parameter discontinuities and the narrowing of the multifractal spectra were used to delimit the low temperature interval for the possible locus of the tricritical point.

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Section: Introductionmentioning

confidence: 99%

The Blume–Capel model on hierarchical lattices: Exact local properties

Rocha-Neto

Camelo-Neto

Nogueira³

et al. 2018

Physica A: Statistical Mechanics and its Applications

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“…Theoretically, such systems have been studied by several statistical mechanical methods: renormalization-group technique [12,13], mean-field approximation [14][15][16][17][18], effective-field theory [19][20][21][22][23][24], Monte Carlo simulations [25][26][27][28][29]. Recently, Jiang and Bai [30] have studied the influence of an external longitudinal magnetic field on the magnetic properties of a mixed spin-1/2 and spin-3/2 Ising ferromagnetic/ferrimagnetic bilayer system.…”

Section: Introductionmentioning

confidence: 99%

Bethe lattice approach study of the mixed spin-1/2 and spin-7/2 Ising model in a longitudinal magnetic field

Eddahri¹,

Karimou²,

Razouk³

et al. 2018

Condens. Matter Phys.

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The magnetic properties of the mixed spin-1 2 and spin-7 2 Ising model with a crystal-field in a longitudinal magnetic field are investigated on the Bethe lattice using exact recursion relations. The ground-state phase diagram is constructed. The temperature-dependent one is displayed in the case of uniform crystal-field on the (k B T/|J |, D/|J |) plane in the absence of the external constraint for lattice coordination numbers z = 3, 4, 6.The order parameters and corresponding response functions as well as the internal energy are calculated and examined in detail in order to feature the real nature of phase boundaries and corresponding temperatures. The thermal variations of the average magnetization are classified according to the Néel nomenclature.

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