Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators
Open accessAbstract
The Berry phase provides a modern formulation of electric polarization in crystals. Recently, this formulation was extended by the authors to higher electric multipole moments. In quantum mechanical crystalline insulators, such higher multipole moments manifest themselves by the presence of boundary-localized moments of lower dimension. In the presence of certain symmetries, these moments are quantized, and their boundary signatures are fractionalized. Here, the authors elaborate in detail on the theory of higher multipole moments and discuss associated topological pumping phenomena, as well as higher-order topological insulators derived from them.
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When appropriately stacked into three dimensions, the corner modes give rise to chiral one-dimensional modes along edges of the three-dimensional sample.
“When appropriately stacked into three dimensions, the corner modes give rise to chiral one dimensional modes along edges of the three dimensional sample.”
From Observation of a phononic quadrupole topological insulator (2018) · cites this paper as [26]
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- Authors
- Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Princeton University (US)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2017-12-11
- Volume
- 96
- Issue
- 24
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2750111109
- Cited by
- 1,389
- References
- 77
- Citations by year
- 2026: 89 · 2025: 142 · 2024: 201 · 2023: 191 · 2022: 180 · 2021: 199 · 2020: 205 · 2019: 124 · 2018: 54 · 2017: 4
- FWCI
- 51.93
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical review. B./Physical review. B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DE-SC0016239)
- Alfred P. Sloan Foundation
- National Science Foundation (DMR-1420541, DMR-1643312, DMR 1351895-CAR)
- Office of Naval Research (N00014-14-1-0330)
- Army Research Office (W911NF-12-1-0461)
- University of Pittsburgh Medical Center
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Materials Science › Materials Chemistry › Electronic and Structural Properties of Oxides
- Keywords
- Berry phase, electric polarization, crystalline insulators, fractionalization, higher-order topological insulators, symmetry-protected topological phases
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