Phase Diagrams of the Spin-1 Blume-Capel Model with a Random Crystal Field in the Cluster Expansion Theory

The ground-state phase diagrams are obtained for the spin-2 Ising model Hamiltonian with bilinear and biquadratic exchange interactions and a single-ion crystal field. The interactions are assumed to be only between nearest-neighbors. Obtained phase diagrams are presented in the (Δ,J), (K,J), (Δ/J,K/J), (Δ/|J|,K/|J|), (Δ/|K|,J/|K|), (H/J,Δ/J), (H/|J|,Δ/|J|), (H/J,K/J), and (H/|J|,K/|J|) planes where J, K, Δ, and H are the bilinear, biquadratic exchange interactions, the single-ion crystal field, and the external magnetic field, respectively. The influence of the external magnetic field on the spin configurations is investigated.

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The temperature-dependent phase diagrams of the spin-3/2 Ising model on a FM/AFM two-layer lattice with a crystal field

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2010.03.004 ◽

2010 ◽

Vol 389 (13) ◽

pp. 2522-2532 ◽

Cited By ~ 6

Author(s):

Erhan Albayrak ◽

Ali Yigit ◽

Tunc Cengiz

Keyword(s):

Ising Model ◽

Phase Diagrams ◽

Crystal Field ◽

Temperature Dependent

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The phase diagrams and the order parameters of the transverse spin-1 Ising model with a longitudinal crystal-field

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2004.01.068 ◽

2004 ◽

Vol 338 (3-4) ◽

pp. 479-492 ◽

Cited By ~ 13

Author(s):

K. Htoutou ◽

A. Benaboud ◽

A. Ainane ◽

M. Saber

Keyword(s):

Ising Model ◽

Phase Diagrams ◽

Crystal Field ◽

Order Parameters ◽

Transverse Spin

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Phase diagrams of 2D Ashkin–Teller model within the effect of crystal field and quantum transverse field

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2017.11.149 ◽

2018 ◽

Vol 492 ◽

pp. 2310-2315

Author(s):

I. Dani ◽

N. Tahiri ◽

H. Ez-Zahraouy ◽

A. Benyoussef

Keyword(s):

Phase Diagrams ◽

Crystal Field ◽

Transverse Field

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Critical properties of a random transverse crystal field Ising model with bond dilution

Open Physics ◽

10.2478/s11534-010-0050-8 ◽

2011 ◽

Vol 9 (4) ◽

Cited By ~ 3

Author(s):

Ling Wen ◽

Yan Shi-Lei

Keyword(s):

Ising Model ◽

Phase Diagrams ◽

Crystal Field ◽

Effective Field ◽

Square Lattice ◽

Critical Properties ◽

Strong Bond ◽

Ordered Phases ◽

Bond Dilution ◽

Global Phase Diagrams

AbstractWithin effective field theory (EFT), the critical properties of a random transverse crystal field Ising model with bond dilution are studied on a square lattice. Under both weak and strong bond dilution conditions, we consider three cases (α = 0,±0.5) of a transverse crystal field ratio, obtaining global phase diagrams in T−D x space for changes in the random transverse crystal field concentration. The phase diagrams obtained for a weak bond dilution are very similar in shape to those of pure bond but with decreases in corresponding ordered phases and critical values. However, the phase diagrams for a strong bond dilution exhibit varieties, including a change in reentrant phenomenon, the occurrence of transverse crystal field degeneration, and the opposite direction crossover of temperature peak value.

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