Tight-binding Green's-function calculation of electron tunneling. I. One-dimensional two-band model

1976 ◽  
Vol 13 (8) ◽  
pp. 3368-3380 ◽  
Author(s):  
William R. Bandy ◽  
Arnold J. Glick
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Electron Tunneling ◽  
Tight Binding ◽  
Band Model ◽  
One Dimensional ◽  
Function Calculation ◽  
Two Band Model

MULTIBAND SUPERCONDUCTIVITY

2002 ◽  
Vol 16 (23) ◽  
pp. 3419-3428 ◽  
Author(s):  
HIDEMI NAGAO ◽  
SERGEI P. KRUCHININ ◽  
ANATOLI M. YAREMKO ◽  
KIZASHI YAMAGUCHI
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Electron Interaction ◽  
Band Model ◽  
Multiband Superconductivity ◽  
Two Band Model ◽  
Multi Band

Multi-band superconductivity is investigated by using two-particle Green's function techniques, and equations for coupled states are derived in the framework of a two-band model. These results suggest that superconductivity appears, even if electron–electron interaction is positive. We also present a cooperative mechanism for multi-band superconductivity.

scholarly journals DIFFERENTIAL EQUATION APPROACH FOR ONE- AND TWO-DIMENSIONAL LATTICE GREEN'S FUNCTION

2007 ◽  
Vol 21 (02n03) ◽  
pp. 139-154 ◽  
Author(s):  
J. H. ASAD
Keyword(s):  
Differential Equation ◽  
Green’S Function ◽  
Recurrence Relation ◽  
Green's Function ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
The One ◽  
Lattice Green's Function ◽  
Lattice Green’S Function

A first-order differential equation of Green's function, at the origin G(0), for the one-dimensional lattice is derived by simple recurrence relation. Green's function at site (m) is then calculated in terms of G(0). A simple recurrence relation connecting the lattice Green's function at the site (m, n) and the first derivative of the lattice Green's function at the site (m ± 1, n) is presented for the two-dimensional lattice, a differential equation of second order in G(0, 0) is obtained. By making use of the latter recurrence relation, lattice Green's function at an arbitrary site is obtained in closed form. Finally, the phase shift and scattering cross-section are evaluated analytically and numerically for one- and two-impurities.

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