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

M. J. Rave and W. C. Kerr ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 45, issue 4, 473-477

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

Date: 2005
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DOI: 10.1140/epjb/e2005-00204-6

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