Level Quantization and Broadening for Band Electrons in a Magnetic Field: Magneto-Optics Throughout the Band

  • L. M. Falicov
Part of the Nato Advanced Study Institutes Series book series (NSSB, volume 60)


The energy spectrum of an electron in the simultaneous presence of an external magnetic field \( {\text{H}} \) and a periodic crystal potential \( V\left( {\vec r} \right)\) constitutes a difficult and by now classical problem. It is difficult because the effects of the potential \( V\left( {\vec r} \right)\) and the field H are quite different in nature. The former causes the formation of energy bands while the latter quantizes the electronic motion and tends to form narrow levels. The problem is further complicated by the fact that the two natural “periods,” introduced by the field H and the potential \( V\left( {\vec r} \right)\), respectively, are, for most values of the field, incommensurable.


Magnetic Field Line Shape Level Quantization Landau Level Modulation Spectrum 
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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • L. M. Falicov
    • 1
  1. 1.Department of PhysicsUniversity of CaliforniaBerkeleyUSA

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