Berry's phase for an electron in a periodic potential without inversion symmetry
Olin Physical Laboratory, Wake Forest University, Winston-Salem, North Carolina 27109-7507, USA
Corresponding author: a firstname.lastname@example.org
Revised: 22 April 2005
Published online: 13 July 2005
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.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 71.20.-b – Electron density of states and band structure of crystalline solids / 71.15.-m – Methods of electronic structure calculations
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005