Polarization and Adiabatic Pumping in Inhomogeneous Crystals
Abstract
We develop a general theory of electric polarization in crystals with inhomogeneous order. We show that the inhomogeneity-induced polarization can be classified into two parts: a perturbative contribution stemming from a correction to the basis functions and a topological contribution described in terms of the Chern-Simons form of the Berry gauge fields. The latter is determined up to an uncertainty quantum, which is the second Chern number in appropriate units. Our theory provides an exhaustive link between microscopic models and the macroscopic polarization.
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For a general solid, not necessarily a topological insulator, the Chern-Simons integral is just one contribution to the electromagnetic θ.
“The improvement is that these make clear that, for a general solid (not necessarily a topological insulator), the Chern-Simons integral is just one contribution to the electromagnetic θ .”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [79]
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Self-citation
- Authors
- Xiao, D., Shi, J., Clougherty, D. P., & Niu, Q.
- Affiliations
- Oak Ridge National Laboratory (US)
- Chinese Academy of Sciences (CN)
- University of Vermont (US)
- The University of Texas at Austin (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-02-24
- Volume
- 102
- Issue
- 8
- Pages
- 087602-087602
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2037797331
- Cited by
- 65
- References
- 25
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 4 · 2023: 1 · 2022: 2 · 2021: 5 · 2020: 3 · 2019: 2 · 2018: 19 · 2017: 4 · 2016: 3 · 2015: 1 · 2014: 2 · 2013: 2 · 2012: 1
- FWCI
- 2.05
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Materials Science › Materials Chemistry › Electronic and Structural Properties of Oxides
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- electric polarization, adiabatic pumping, Chern-Simons form, second Chern number, topological polarization
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