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The Motion of an Electron in One‐Dimensional Periodic Potential under the Influence of Uniform Electric and Magnetic Fields
Author(s) -
Jannussis A. D.,
Papatheou V.,
Tsilimigras P.
Publication year - 1978
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220880141
Subject(s) - magnetic field , electric field , condensed matter physics , physics , magnetic energy , perturbation (astronomy) , electron , electric potential , perpendicular , quantum electrodynamics , magnetization , quantum mechanics , mathematics , voltage , geometry
The properties are discussed of an electron moving in one‐dimensional periodic potential in the presence of homogeneous mutual perpendicular electric and magnetic fields. The perturbation energy is shown, by two different methods, to be a periodic function of the k y quantum number, as required by Harper's conditions, and also a periodic function of the electric field. Furthermore the partition function is calculated to second order in perturbation. The free energy of the system is evaluated, the magnetic moment as well as the magnetic susceptibility and its dependence on the electric field.