scholarly journals GROUND STATE STUDY OF SPIN S = 1 ISING ANTIFER-ROMAGNETIC MODEL ON FACE-CENTRED CUBIC LATTICE

1990 ◽  
Vol 39 (9) ◽  
pp. 1473
Author(s):  
XU GUO-LIANG ◽  
WANG YANG-PU
Keyword(s):  
Ground State ◽  
Cubic Lattice ◽  
State Study

scholarly journals Исследование термодинамических свойств модели Изинга на объемно-центрированной кубической решетке с конкурирующими обменными взаимодействиями

2018 ◽  
Vol 60 (9) ◽  
pp. 1798
Author(s):  
А.К. Муртазаев ◽  
М.К. Рамазанов ◽  
М.А. Магомедов ◽  
Д.Р. Курбанова
Keyword(s):  
Phase Transition ◽  
Ground State ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Body Centered Cubic ◽  
Magnetic Structures ◽  
Cubic Lattice ◽  
The Monte Carlo Method ◽  
Antiferromagnetic Ising Model ◽  
Body Centered Cubic Lattice

AbstractUsing the Monte Carlo method, magnetic structures of the ground state and thermodynamic properties of the antiferromagnetic Ising model on a body-centered cubic lattice with competing exchange interactions are studied. The investigations are carried out for the ratio of the exchange interactions of next and nearest neighbors r = J _2/ J _1 = 2/3. All possible magnetic structures of the ground state for this ratio of exchange interactions have been obtained. It has been shown that at r = 2/3 the competition of exchange interactions does not lead to the appearance of frustration and degeneracy of the ground state. Based on the histogram data analysis, it has been shown that the phase transition of the second kind is observed in the model under study at r = 2/3.

scholarly journals Ground state study of simple atoms within a nanoscale box

2008 ◽  
Vol 145 (11-12) ◽  
pp. 594-599 ◽  
Author(s):  
M. Neek-Amal ◽  
G. Tayebirad ◽  
M. Molayem ◽  
M.E. Foulaadvand ◽  
L. Esmaeili-Sereshki ◽  
...  
Keyword(s):  
Ground State ◽  
State Study

Spin waves and their stability in metals

1966 ◽  
Vol 295 (1441) ◽  
pp. 182-191 ◽  
Keyword(s):  
Curie Temperature ◽  
Ground State ◽  
Effective Interaction ◽  
Wave Dispersion ◽  
Cubic Lattice ◽  
Factors Influencing ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Ferromagnetic Ground State ◽  
The Stability

The experimental and theoretical situation regarding the coefficient D in the spin wave dispersion law for metals, h ω q = Dq 2 , is briefly reviewed. Particular attention is paid to the correlation of D with other magnetic properties of metals and alloys such as the Curie temperature. A calculation of D is then reported for a simple cubic lattice to illustrate the factors influencing D , such as the effective interaction between the itinerant electrons and the number of electrons per atom. The correlation of D with the Curie temperature is also obtained for this model. On the basis of these results as well as those of Penn (1966) a test is made of the stability of the ferromagnetic ground state by considering a phase diagram relating the reduced effective interaction with the number of electrons per atom. The stability or instability is discussed separately for the several regions in this diagram. As a result it is concluded that Penn’s analysis of this problem may be insufficient in some cases and it is conjectured that the stability of the ferromagnetic ground state is determined by the sign of D .

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