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.
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Rave, M., Kerr, W. Berry’s phase for an electron in a periodic potential without inversion symmetry. Eur. Phys. J. B 45, 473–477 (2005). https://doi.org/10.1140/epjb/e2005-00204-6
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DOI: https://doi.org/10.1140/epjb/e2005-00204-6