scholarly journals Bond-Operator Mean Field Theory for the Bilayer Heisenberg Model

1999 ◽  
Vol 68 (1) ◽  
pp. 247-252 ◽  
Author(s):  
Yasuhiro Matsushita ◽  
Martin P. Gelfand ◽  
Chikara Ishii
Keyword(s):  
Field Theory ◽  
Heisenberg Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Operator Mean

Spontaneous magnetization of ferromagnet in mean-field Heisenberg model

2019 ◽  
Vol 33 (04) ◽  
pp. 1950036 ◽  
Author(s):  
Artur P. Durajski ◽  
Anna B. Olesik ◽  
Anita E. Auguscik
Keyword(s):  
Field Theory ◽  
Magnetic Susceptibility ◽  
Curie Temperature ◽  
Heisenberg Model ◽  
Spontaneous Magnetization ◽  
Mean Field Theory ◽  
Mean Field ◽  
Function Technique ◽  
Heisenberg Ferromagnet ◽  
Temperature Dependences

The Heisenberg ferromagnet model has been studied theoretically using the Weiss mean-field theory and Green’s function technique. The equations for the Curie temperature, magnetization, and magnetic susceptibility were analytically derived. Moreover, we proved, that our results are useful in description of real materials. The calculated value of Curie temperature for [Formula: see text] alloy correspond well with the experimental results obtained recently on the base of the temperature dependences of magnetization.

Bilayered Spin-S Heisenberg Model in Fractional Dimensions

1998 ◽  
Vol 12 (18) ◽  
pp. 1809-1812 ◽  
Author(s):  
K. K. Ng
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Ground State ◽  
Heisenberg Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
The Self ◽  
Self Consistent ◽  
Ferromagnetic Heisenberg Model ◽  
Fractional Dimensions

The ground state and the phase transitions of the bilayered spin-S anti-ferromagnetic Heisenberg model were studied by Ng et al.1 by using the Schwinger boson mean field theory. In this paper, an analytic continuation of the self-consistent equations is carried out in order to study the extension of the model to fractional dimensions from 1 to 2. Decreasing the dimensionality from 2 has an effect similar to that of decreasing the spin S. The corresponding phase diagram and phase transition will also be discussed.

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