On the tight-binding green's function of the simple-cubic lattice

1975 ◽  
Vol 67 (1) ◽  
pp. K1-K5 ◽  
Author(s):  
H. J. Fischbeck
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Tight Binding ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice

Resistance calculation of the decorated centered cubic networks: Applications of the Green's function

2014 ◽  
Vol 28 (32) ◽  
pp. 1450252 ◽  
Author(s):  
M. Q. Owaidat ◽  
J. H. Asad ◽  
J. M. Khalifeh
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Three Dimensional ◽  
Numerical Results ◽  
Effective Resistance ◽  
Cubic Lattice ◽  
Cubic Lattices ◽  
Simple Cubic ◽  
Simple Cubic Lattice

The effective resistance between any pair of vertices (sites) on the three-dimensional decorated centered cubic lattices is determined by using lattice Green's function method. Numerical results are presented for infinite decorated centered cubic networks. A mapping between the resistance of the edge-centered cubic lattice and that of the simple cubic lattice is shown.

Electronic bound states at the surface of a metal

1952 ◽  
Vol 48 (3) ◽  
pp. 457-469 ◽  
Author(s):  
G. R. Baldock
Keyword(s):  
Crystal Structures ◽  
Small Groups ◽  
Bound States ◽  
Tight Binding ◽  
Surface States ◽  
Tight Binding Approximation ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Lattice Geometry

AbstractThe conditions under which bound states associated with atoms in the surface of a metal may exist are investigated, using the tight-binding approximation. These states arise as a result of modifications in the parameters of certain atoms. The modifications required to produce (a) bound states associated with all the atoms in the surface (surface states) and (b) bound states associated with particular small groups of atoms are found for the simple cubic lattice. It is also shown that most of the simpler crystal structures do not exhibit surface states without such modifications; in the graphite and diamond lattices, however, surface states exist solely by virtue of the lattice geometry.

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