Complete phase diagrams with respect to external fields at low temperatures for models with nearest-neighbor interaction in the case of a finite or countable number of ground states

1984 ◽  
Vol 58 (2) ◽  
pp. 171-182 ◽  
Author(s):  
A. G. Basuev
Keyword(s):  
Phase Diagrams ◽  
Low Temperatures ◽  
Nearest Neighbor ◽  
Ground States ◽  
External Fields ◽  
Countable Number ◽  
Neighbor Interaction

PHASE TRANSITIONS OF THE MIXED-SPIN ISING MODEL ON A DECORATED LATTICE WITH THE NEAREST-NEIGHBOR INTERACTION BETWEEN DECORATING SPINS

2009 ◽  
Vol 23 (24) ◽  
pp. 4963-4976 ◽  
Author(s):  
A. BENYOUSSEF ◽  
A. EL KENZ ◽  
M. EL YADARI ◽  
M. LOULIDI
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Phase Diagrams ◽  
Nearest Neighbor ◽  
Mean Field ◽  
Nearest Neighbors ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Neighbor Interaction ◽  
Mixed Spin

A mean-field approximation is developed for a decorated ferrimagnetic Ising model, in which the two magnetic atoms A and B have spins σ=1/2 and S=1, respectively. In this system, the exchange interaction between nearest-neighbors of atom B is taken into account. Some interesting phenomena, such as the appearance of three types of phase diagrams and the existence of one and two compensation points are found. Phase diagrams and temperature dependence of the magnetizations of the system are investigated in detail.

scholarly journals Ground states for infinite lattices with nearest neighbor interaction

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Peng Chen ◽  
Die Hu ◽  
Yuanyuan Zhang
Keyword(s):  
Periodic Solution ◽  
Dynamical Systems ◽  
Nearest Neighbor ◽  
Ground States ◽  
Neighbor Interaction ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Lattice Dynamical Systems ◽  
Infinite Lattices ◽  
Least Energy

Abstract Sun and Ma (J. Differ. Equ. 255:2534–2563, 2013) proved the existence of a nonzero T-periodic solution for a class of one-dimensional lattice dynamical systems, $$\begin{aligned} \ddot{q_{i}}=\varPhi _{i-1}'(q_{i-1}-q_{i})- \varPhi _{i}'(q_{i}-q_{i+1}),\quad i\in \mathbb{Z}, \end{aligned}$$ q i ¨ = Φ i − 1 ′ ( q i − 1 − q i ) − Φ i ′ ( q i − q i + 1 ) , i ∈ Z , where $q_{i}$ q i denotes the co-ordinate of the ith particle and $\varPhi _{i}$ Φ i denotes the potential of the interaction between the ith and the $(i+1)$ ( i + 1 ) th particle. We extend their results to the case of the least energy of nonzero T-periodic solution under general conditions. Of particular interest is a new and quite general approach. To the best of our knowledge, there is no result for the ground states for one-dimensional lattice dynamical systems.

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.

Integrable Multi-impurity Open XXZ Chain with Next-Nearest-Neighbor Interaction

1999 ◽  
Vol 16 (6) ◽  
pp. 434-436
Author(s):  
Yun-zhong Lai ◽  
Ai-zhen Zhang ◽  
Zhan-ning Hu ◽  
Jiu-qing Liang ◽  
Fu-ke Pu (Pu Fu-cho)
Keyword(s):  
Nearest Neighbor ◽  
Neighbor Interaction ◽  
Xxz Chain

Total Energy Differences Between Silicon Carbide Polytypes and their Implications for Crystal Growth

1997 ◽  
Vol 492 ◽  
Author(s):  
Sukit Llmpijumnong ◽  
Walter R. L. Lambrecht
Keyword(s):  
Silicon Carbide ◽  
Crystal Growth ◽  
Epitaxial Growth ◽  
Size Effects ◽  
Nearest Neighbor ◽  
Orbital Method ◽  
Full Potential ◽  
Neighbor Interaction ◽  
Island Size ◽  
Annni Model

ABSTRACTThe energy differences between various SiC polytypes are calculated using the full-potential linear muffin-tin orbital method and analyzed in terms of the anisotropie next nearest neighbor interaction (ANNNI) model. The fact that J1 + 2J2 < 0 with J1 > 0 implies that twin boundaries in otherwise cubic material are favorable unless twins occur as nearest neighbor layers. Contrary to some other recent calculations we find J1 > |J2|. We discuss the consequences of this for stabilization of cubic SiC in epitaxial growth, including considerations of the island size effects.

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