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

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

scholarly journals PHASE DIAGRAMS OF THE SPIN-1 BLUME–EMERY–GRIFFITHS MODEL IN A RANDOM TRANSVERSE FIELD

2004 ◽  
Vol 18 (31n32) ◽  
pp. 4129-4142 ◽  
Author(s):  
H. EZ-ZAHRAOUY ◽  
H. MAHBOUB ◽  
A. BENYOUSSEF ◽  
M. J. OUAZZANI
Keyword(s):  
Field Theory ◽  
Phase Diagrams ◽  
Effective Field Theory ◽  
Low Temperatures ◽  
Transverse Field ◽  
Effective Field ◽  
Long Range Order ◽  
Special Value ◽  
Tricritical Behavior ◽  
Beg Model

The effect of the random quantum transverse field Ω on the tricritical behavior of the spin-1 Blume–Emery–Griffiths (BEG) model is studied using an effective field theory. It is found that the tricritical behavior depends on both the biquadratic interaction K, single-ion anisotropy Δ and the concentration p of the disorder of Ω. Indeed, there exists a special value p1 of the probability p below which the tricritical behavior disappears. In addition, at sufficiently low temperatures, the system exhibits long-range order accompanied by the tricritical behavior below a special value p2 of the probability p.

THE GROUND-STATE PHASE DIAGRAMS OF THE SPIN-2 ISING MODEL

2007 ◽  
Vol 21 (31) ◽  
pp. 5265-5274 ◽  
Author(s):  
AHMET ERDİNÇ
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
Phase Diagrams ◽  
Crystal Field ◽  
Ground State ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Biquadratic Exchange ◽  
Model Hamiltonian

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.

scholarly journals Phase diagrams of a spin-1 Ising superlattice with alternating transverse field

2003 ◽  
Vol 261 (1-2) ◽  
pp. 78-87 ◽  
Author(s):  
A. Saber ◽  
H. Ez-Zahraouy ◽  
S. Lo Russo ◽  
G. Mattei ◽  
A. Ainane
Keyword(s):  
Phase Diagrams ◽  
Transverse Field

Magnetization and phase diagram of a cubic nanowire in the presence of the crystal field and the transverse field

2012 ◽  
Vol 324 (23) ◽  
pp. 4034-4042 ◽  
Author(s):  
Li-Mei Liu ◽  
Wei Jiang ◽  
Zan Wang ◽  
Hong-Yu Guan ◽  
An-Bang Guo
Keyword(s):  
Phase Diagram ◽  
Crystal Field ◽  
Transverse Field

Phase diagrams of diluted ferromagnetic Ising films in a transverse field

1994 ◽  
Vol 75 (10) ◽  
pp. 5841-5843 ◽  
Author(s):  
J. C. Cressoni ◽  
J. W. Tucker ◽  
E. F. Sarmento
Keyword(s):  
Phase Diagrams ◽  
Transverse Field

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

Open Physics ◽  
2011 ◽  
Vol 9 (4) ◽  
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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