Introduction of renormalization factor for spin-wave energy into Bogolyubov-Tyablikov theory

1995 ◽  
Vol 102 (2) ◽  
pp. 219-223
Author(s):  
V. A. Bamburov ◽  
A. A. Kazakov ◽  
V. N. Frolov
Keyword(s):  
Spin Wave ◽  
Wave Energy ◽  
Renormalization Factor

The temperature dependence of the spin wave energy in the itinerant electron model of ferromagnetism

1968 ◽  
Vol 302 (1470) ◽  
pp. 409-418 ◽  
Keyword(s):  
Spin Wave ◽  
Wave Energy ◽  
Short Range ◽  
Distribution Functions ◽  
Itinerant Electron ◽  
Short Range Interaction ◽  
Range Interaction ◽  
Electron Model ◽  
Long Wavelength ◽  
Chemical Potentials

The long wavelength non-interacting spin wave energy for metals at low temperatures is expressed as ћω q = Dq 2 = ( D 0 + D 1 T 2 ) q 2 . The dependence of the coefficient D 1 on the density of states function, the number of electrons per atom, n , and the effective short range interaction energy, I , is discussed. The variation of D with T 2 comes from the change with temperature of the relative occupation ζ and the chemical potentials of the ± spin sub-bands as well as from the direct asymptotic expansion of the Fermi distribution functions occurring in the expression for D .

Study of Magnetism of Two-Dimensional Ferromagnetic Graphene

2012 ◽  
Vol 601 ◽  
pp. 89-93
Author(s):  
Bin Zhou Mi ◽  
Yong Hong Xue ◽  
Huai Yu Wang ◽  
Yun Song Zhou ◽  
Xiao Lan Zhong
Keyword(s):  
Curie Temperature ◽  
Quantum Number ◽  
Spin Wave ◽  
Wave Energy ◽  
Spontaneous Magnetization ◽  
Exchange Parameter ◽  
Magnetic Nanomaterials ◽  
Two Dimensional ◽  
Spin Quantum ◽  
Spin Quantum Number

In this paper, the magnetic properties of ferromagnetic graphene nanostructures, especially the dependence of the magnetism on finite temperature, are investigated by use of the many-body Green’s function method of quantum statistical theory. The spontaneous magnetization increases with spin quantum number, and decreases with temperature. Curie temperature increases with exchange parameter J or the strength K2 of single-ion anisotropy and spin quantum number. The Curie temperature TC is directly proportional to the exchange parameter J. The spin-wave energy drops with temperature rising, and becomes zero as temperature reaches Curie temperature. As J(p,q)=0, ω1=ω2, the spin wave energy is degenerate, and the corresponding vector k=(p, q) is called the Dirac point. This study contributes to theoretical analysis for pristine two-dimensional magnetic nanomaterials that may occur in advanced experiments.

A Calculation of the Spin Wave Energy in fcc Fe-Ni Alloys

1979 ◽  
Vol 47 (1) ◽  
pp. 103-108 ◽  
Author(s):  
Hideji Yamada ◽  
Jun-ichiro Inoue ◽  
Masao Shimizu
Keyword(s):  
Spin Wave ◽  
Wave Energy ◽  
Ni Alloys
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