arXiv:2210.09860 Abstract | arXiv Analytics

arXiv:2210.09860 [math-ph]Abstract References Reviews Resources

Topological polarization in disordered systems

Published 2022-10-18Version 1

Deformations in piezoelectric materials lead to conduction effects, which are due to two contributions: the relative displacements of the ionic cores, and the so-called orbital polarization. This work is devoted to the rigorous derivation of the celebrated King-Smith and Vanderbilt formula for orbital polarization in a generalized setting that includes continuous random systems among others.

Comments: 22 pages. Keywords: Piezoelectricity, orbital polarization, King-Smith and Vanderbilt formula

Categories: math-ph, math.MP

Subjects: 35Q41, 81Q70, 81R60, 82B44

Keywords: disordered systems, topological polarization, orbital polarization, ionic cores, vanderbilt formula

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