Green’s function investigation of transition properties of the transverse Ising model

2004 ◽  
Vol 70 (10) ◽  
Author(s):  
Baohua Teng ◽  
H. K. Sy
Keyword(s):  
Ising Model ◽  
Green’S Function ◽  
Green's Function ◽  
Transverse Ising Model

Green's-function theory of the transverse Ising model

1980 ◽  
Vol 22 (3) ◽  
pp. 1353-1361 ◽  
Author(s):  
Philip E. Bloomfield ◽  
Edward B. Brown
Keyword(s):  
Ising Model ◽  
Green’S Function ◽  
Green's Function ◽  
Function Theory ◽  
Transverse Ising Model

A reformulation of the dimer problem

1968 ◽  
Vol 46 (15) ◽  
pp. 1681-1684 ◽  
Author(s):  
R. W. Gibberd
Keyword(s):  
Ising Model ◽  
Partition Function ◽  
Green’S Function ◽  
Green's Function ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Function Technique ◽  
Value Of Time ◽  
Expectation Value

It is shown that the partition function of the generalized dimer problem can be formulated in terms of a vacuum-to-vacuum expectation value of time-ordered operators. This expression is then evaluated by using Green's function technique, which has already been used in conjunction with the Ising model and ferroelectric problem.

LAYER POLARIZATIONS AND DIELECTRIC SUSCEPTIBILITIES OF ANTIFERROELECTRIC THIN FILMS

2003 ◽  
Vol 17 (25) ◽  
pp. 1343-1347 ◽  
Author(s):  
J. M. WESSELINOWA ◽  
S. TRIMPER
Keyword(s):  
Thin Films ◽  
Surface Layer ◽  
Ising Model ◽  
Green’S Function ◽  
Green's Function ◽  
Low Temperatures ◽  
Transverse Field ◽  
Thermal Fluctuations ◽  
Ferroelectric Thin Films ◽  
Function Technique

The polarization and susceptibility of thin antiferroelectric films are presented using a Green's function technique within an Ising model in a transverse field. Both quantities vary with the numbers of layers. Whereas at low temperatures the suceptibilty of the surface layer increases stronger than that of the second layer, the polarization of the surface is smaller compared to the polarization of the second layer. Such behavior has no counterpart in ferroelectric thin films. The effect is attributed to inhomogeneous thermal fluctuations.

Green's function approach to the Ising model

1969 ◽  
Vol 47 (7) ◽  
pp. 769-777 ◽  
Author(s):  
K. C. Lee ◽  
Robert Barrie
Keyword(s):  
Ising Model ◽  
Green’S Function ◽  
Green's Function ◽  
Body Problem ◽  
Equations Of Motion ◽  
Function Technique ◽  
Many Body ◽  
One Dimensional ◽  
Spinless Fermion ◽  
The One

It is shown that the spin [Formula: see text] Ising model can be formulated as a spinless fermion many-body problem and that the Green's function technique can be applied to it. The hierarchy of Green's function equations of motion terminates at the (q + 1)-particle Green's function, where q is the coordination number. This finite number of equations yields Fisher's transformation of correlations. The technique discussed in this paper can be used to obtain exact results for the one-dimensional Ising model.

A moment theorem for resonance line shapes arising from decoupled Green's function equations

1969 ◽  
Vol 47 (7) ◽  
pp. 787-793 ◽  
Author(s):  
Barry Frank ◽  
R. Barrie
Keyword(s):  
Ising Model ◽  
Green’S Function ◽  
Green's Function ◽  
Resonance Line ◽  
Delta Function ◽  
One Dimensional ◽  
Line Shapes ◽  
The One

A theorem is derived which enables one to bypass quadrature in the calculation of moments of a resonance line obtained from any decoupling of the Green's function hierarchy of equations. These moments are those of the resonance line as expressed in terms of delta-function peaks prior to smearing. A comparison with exact theoretical moments then provides a test of the decoupling procedure as distinct from the smearing technique. The method is illustrated by application to the one-dimensional Ising model.

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