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Bloch electron dynamics

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Abstract

New equations of motion for a Bloch electron [momentum p=h k,energy ε n(p),zone number n, charge -e]:

$$m_j \frac{{dv_j }}{{dt}} = - e(E + v \times B)_j $$

are proposed, where v≡∂εn(p)/∂p is the velocity, and {mj}are the principal masses m − j 1=∂2εn/∂p 2j along the normal and the two principal axes of curvatures at each point of the constant-energy surface represented by ε=εn(p).Their advantages over the prevalent equations of motion where the left-hand-side is replaced by hk j are demonstrated by examining de Haas-van Alphen oscillations and orientation-dependent cyclotron resonance peaks.

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Authors and Affiliations

  1. Departamento de Fisica, Facultad de Ciencias, UNAM, 04510, México, D.F. México

    Shigeji Fujita & Salvador Godoy

  2. Department of Physics, State University of New York at Buffalo, 14260, Buffalo, New York

    Diep Nguyen

Authors
  1. Shigeji Fujita
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  2. Salvador Godoy
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  3. Diep Nguyen
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Fujita, S., Godoy, S. & Nguyen, D. Bloch electron dynamics. Found Phys 25, 1209–1220 (1995). https://doi.org/10.1007/BF02055258

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  • DOI: https://doi.org/10.1007/BF02055258

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