Abstract
AbstractBroadening of the Landau levels due to the presence of a crystal cubic lattice is examined on a semi‐classical basis for not too strong magnetic fields. The energies of the Landau levels remain discrete also in case of the presence of the lattice potential, but an essential broadening occurs in the momentum space of the electron motion when this motion is limited to a plane being transversal to the applied field. The broadening in the momentum space, attained without any electron–electron interaction admitted for the Landau levels, is described in terms of the band structure parameters characteristic for the presence of the magnetic field. Moreover, for a magnetic field tilted to the crystallographic axes, the broadening is dependent on the inclination angle of the field. Different crystal lattices exhibit different kinds of dispersion. In particular, for the Landau levels of tightly‐bound s‐electrons in a simple cubic and body‐centred cubic lattice there is no dispersion in the electron gyration frequency and degeneracy number of the level area over the value of the wavevector component parallel to the magnetic field. On the other hand, this kind of dispersion exists in the case of the face‐centred cubic lattice.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.