Mean-field Green’s-function theory of the two-sublattice Ising model in a transverse field

1991 ◽  
Vol 43 (16) ◽  
pp. 13664-13667 ◽  
Author(s):  
Edward B. Brown
Keyword(s):  
Ising Model ◽  
Green’S Function ◽  
Green's Function ◽  
Function Theory ◽  
Mean Field ◽  
Transverse Field

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

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.

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