Application of the Green Function Method to the XY Model in a Magnetic Field

1974 ◽  
Vol 52 (17) ◽  
pp. 1660-1665 ◽  
Author(s):  
D. J. Austen
Keyword(s):  
Magnetic Field ◽  
Green Function ◽  
Three Dimensions ◽  
Xy Model ◽  
Zero Field ◽  
Green Function Method ◽  
Function Solution ◽  
Cubic Lattices ◽  
The Green Function ◽  
Improved Accuracy

This paper exhibits a simple, approximate Green function solution for the XY model of ferromagnetism in three dimensions from which we obtain the critical temperature, magnetization, internal energy, free energy, and entropy as a function of a magnetic field in the z direction. Comparison with Padé analysis of known high temperature series indicates an accuracy for TC in zero field to within 2% on all three cubic lattices and improved accuracy for nonzero fields. Solutions are obtained only for T ≥ TC.

The Green function method for the two-surface problem

1970 ◽  
Vol 8 (13) ◽  
pp. 1069-1071 ◽  
Author(s):  
F. Flores ◽  
F. Garcia-Moliner ◽  
J. Rubio
Keyword(s):  
Green Function ◽  
Function Method ◽  
Green Function Method ◽  
The Green Function

A MODEL FOR THE MUTUAL INFLUENCE OF CHEMISORPTION AND MULTILAYER SEGREGATION

1996 ◽  
Vol 03 (02) ◽  
pp. 1253-1257 ◽  
Author(s):  
HUI ZHANG ◽  
SHULIN CONG
Keyword(s):  
Green Function ◽  
Function Method ◽  
Surface Segregation ◽  
Mutual Influence ◽  
Potential Approximation ◽  
Green Function Method ◽  
Self Consistent ◽  
The Green Function ◽  
The Many ◽  
Chemisorption Energy

The Green function method and the chemisorption theory of Einstein and Schrieffer are used to calculate the chemisorption energies of O and CO on the multilayer segregated Ni-Cu disordered binary alloy within the many-coupled self-consistent coherent potential approximation. In general cases, the chemisorption-induced surface segregation can change the surface component and the chemisorption property to varying degrees. When the mutual influence of chemisorption and multilayer segregation is considered, the changes appear slightly mild. The chemisorption energy for O/Ni-Cu (CO/Ni-Cu) depends sensitively on O(CO) coverage θ, and decreases with increasing θ.

The density of states in dilute solid solutions

1966 ◽  
Vol 292 (1430) ◽  
pp. 433-440 ◽  
Keyword(s):  
Green Function ◽  
Density Of States ◽  
Solid Solutions ◽  
Level Shift ◽  
Green Function Method ◽  
Pure Solvent ◽  
Energy Level Shift ◽  
The Difference ◽  
The Green Function

The difference in the density of states in energy in a dilute solid solution, relative to its value in the pure solvent, is derived. It is shown to be simply related to the energy level shift induced by virtual electron scattering off the solute ions and to the density of states in the pure solvent. The result, which follows from a brief physical argument, is shown to be completely equivalent to that obtained from a far more laborious derivation by means of Green function techniques. An application to the determination of the specific heat of dilute metallic solid solutions is given and a former incomplete result, as derived by Jones from an approximate evaluation of the Green function method, is amended.

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