Proper Functions for a Bloch Electron in a Magnetic Field

1965 ◽  
Vol 139 (4A) ◽  
pp. A1159-A1162 ◽  
Author(s):  
J. Zak
Keyword(s):  
Magnetic Field ◽  
Bloch Electron ◽  
Proper Functions

Bethe-ansatz for the Bloch electron in magnetic field

1994 ◽  
Vol 72 (12) ◽  
pp. 1890-1893 ◽  
Author(s):  
P. B. Wiegmann ◽  
A. V. Zabrodin
Keyword(s):  
Magnetic Field ◽  
Bethe Ansatz ◽  
Bloch Electron

Interplay of Magnetic Field and Disorder: Magnetic Subbands and Bound States

1998 ◽  
Vol 12 (18) ◽  
pp. 1823-1846
Author(s):  
Loredana Valente ◽  
Vincenzo Marigliano Ramaglia
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Electron Energy ◽  
Uniform Magnetic Field ◽  
Bound States ◽  
Unit Cell ◽  
Flux Quantum ◽  
Wannier Functions ◽  
Bloch Electron ◽  
Flux Parameter

The effect of an impurity on the spectrum of a Bloch electron in a uniform magnetic field is studied. Rational values of the magnetic flux parameter, defined as the ratio between the magnetic flux through a unit cell and the flux quantum, have been considered, corresponding to a subband spectrum for the electron energy. The impurity levels are determined through an extension of the Koster–Slater method, using the magnetic Wannier functions, a generalization of the usual Wannier functions in the presence of a magnetic field.

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