Semiclassical quantization of electrons in magnetic fields: The generalized Peierls substitution
Year: 2008
Type: article
Abstract: A generalized Peierls substitution which takes into account a Berry phase term must be considered for the semiclassical treatment of electrons in a magnetic field. This substitution turns out to be an essential element for the correct determination of the semiclassical equations of motion as well as for the semiclassical Bohr-Sommerfeld quantization condition for energy levels. A general expression for the cross-sectional area is derived and used as an illustration for the calculation of energy levels of Bloch and Dirac electrons.
Source: Europhysics Letters (EPL)
Authors: P. Gosselin, H. Boumrar, H. Mohrbach
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2093671227