Interacting electrons in the random potential in one dimension

1992 ◽  
Vol 45 (3) ◽  
pp. 1469-1472 ◽  
Author(s):  
Y. B. Xie
Keyword(s):  
Random Potential ◽  
One Dimension ◽  
Interacting Electrons

scholarly journals Spin susceptibility of interacting electrons in one dimension: Luttinger liquid and lattice effects

1999 ◽  
Vol 12 (3) ◽  
pp. 351-365 ◽  
Author(s):  
H. Nélisse ◽  
C. Bourbonnais ◽  
H. Touchette ◽  
Y.M. Vilk ◽  
A.-M.S. Tremblay
Keyword(s):  
Luttinger Liquid ◽  
Spin Susceptibility ◽  
One Dimension ◽  
Lattice Effects ◽  
Interacting Electrons

scholarly journals Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension

1996 ◽  
Vol 76 (9) ◽  
pp. 1505-1508 ◽  
Author(s):  
Sebastian Eggert ◽  
Henrik Johannesson ◽  
Ann Mattsson
Keyword(s):  
Spectral Properties ◽  
Boundary Effects ◽  
One Dimension ◽  
Interacting Electrons

The electronic structure of liquid insulators

1963 ◽  
Vol 274 (1358) ◽  
pp. 395-412 ◽  
Keyword(s):  
Electronic Structure ◽  
Band Gap ◽  
Disordered Systems ◽  
Tight Binding ◽  
Three Dimensions ◽  
One Dimension ◽  
Interacting Electrons ◽  
Difficult Cases ◽  
Structure Of Liquid

The electronic structure of disordered systems is analyzed in the case of non-interacting electrons tightly bound to their ions. Particular attention is paid to the behaviour of the band gap in the presence of disorder. The Kronig-Penney and tight-binding solutions are derived for perfect lattices. With the physically reasonable restriction that the ions do not approach closer to each other than a certain distance, the band gap is discussed in successively more difficult cases. The closure of the gap between neighbouring levels in one dimension depends on the relative parity of the two levels: if the parities are the same the gap cannot close. The hardest case discussed, that of neighbouring -levels in three dimensions, gives the same result. A detailed discussion of the approximations is given.

Sign in / Sign up

Export Citation Format

Share Document