Geometric phase and topology of elastic oscillations and vibrations in model systems: Harmonic oscillator and superlattice

We illustrate the concept of geometric phase in the case of two prototypical elastic systems, namely the one-dimensional harmonic oscillator and a one-dimensional binary superlattice. We demonstrate formally the relationship between the variation of the geometric phase in the spectral and wave numbe...

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Bibliographic Details
Main Authors: P. A. Deymier, K. Runge, J. O. Vasseur
Format: Article
Language:English
Published: AIP Publishing LLC 2016-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4968608