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Berry’s phase for an electron in a periodic potential without inversion symmetry

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  • M. J. Rave
  • W. C. Kerr

Abstract

Berry’s phase is calculated for an electron in a simple one-dimensional solid. The model used is a generalized Kronig-Penney potential, parameterized so that it may or may not have inversion symmetry. It is shown that the Berry’s phase as a function of an asymmetry parameter evolves from a linear to a non-linear form as inversion symmetry is broken. The functional form of the Berry’s phase is seen to be band-dependent in a simple way, suggesting that it can be used to identify the band in question. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • M. J. Rave & W. C. Kerr, 2005. "Berry’s phase for an electron in a periodic potential without inversion symmetry," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 45(4), pages 473-477, June.
    • Handle: RePEc:spr:eurphb:v:45:y:2005:i:4:p:473-477
    DOI: 10.1140/epjb/e2005-00204-6
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