Topological nature of nonlinear optical effects in solids
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Study of nonlinear optical responses reveals their quantum topological nature.
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Shift currents can be traced to a local geometric property defined by the difference in Berry connection between bands participating in the optical transition.
“Shift currents, resulting from the real space coherent shift of electron density following photoexcitation42, can be traced to a local geometric property defined by the difference in Berry connection between bands participating in the optical transition86,87.”
From Ultrafast terahertz emission from emerging symmetry-broken materials (2023) · cites this paper as [86]
The Results (Floquet two-band model; page not provided) identify the local geometric quantity as the shift vector for the two bands involved in the optical transition. But the shift vector includes both the difference in their Berry connections and the momentum derivative of the transition-matrix-element phase; the Berry-connection difference alone does not define it. (LLM, conf=0.87)
Experimental — accuracy not yet measuredThe second harmonic generation signal can be related to the shift vector R, a gauge-invariant length formed from the momentum derivative of the phase of the velocity matrix element and the difference in the Berry connection.
“For instance, it can be shown that the second harmonic generation (SHG) signal can be related to the shift vector R , which is a gauge-invariant length formed from the momentum derivative of the phase of the velocity matrix element and the difference in the Berry connection (Morimoto and Nagaosa, 2016).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Morimoto and Nagaosa, 2016
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“…instance, it can be shown that the second harmonic generation (SHG) signal can be related to the shift vector R, which is a gauge-invariant length formed from the momentum derivative of the phase of the velocity matrix element and the difference in the Berry connection (Morimoto and Nagaosa, 2016).”
Background
- Authors
- Morimoto, T., & Nagaosa, N.
- Affiliations
- University of California, Berkeley (US)
- RIKEN Center for Emergent Matter Science (JP)
- Corresponding author
- Morimoto, Takahiro
- Venue
- Science Advances
- Published
- 2016-05-06
- Volume
- 2
- Issue
- 5
- Pages
- e1501524-e1501524
- ISSN
- 2375-2548 (ISSN-L)
- PMC
- PMC4928882
- OpenAlex
- W2247926159
- Cited by
- 569
- References
- 39
- Citations by year
- 2026: 60 · 2025: 79 · 2024: 78 · 2023: 71 · 2022: 56 · 2021: 81 · 2020: 48 · 2019: 45 · 2018: 27 · 2017: 18 · 2016: 6
- FWCI
- 15.12
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by-nc
- Locations
- Science Advances (publishedVersion, cc-by-nc)
- Europe PMC (PubMed Central) (publishedVersion, cc-by-nc)
- PubMed Central (publishedVersion, cc-by-nc)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ministry of Education, Culture, Sports, Science, and Technology (ID0E1YAE6603, JSPS Grant-in-Aid for Scientific Research (No. 24224009, and No. 26103006))
- Gordon and Betty Moore Foundation (ID0E43AE6604, the EPiQS initiative)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Laser-Matter Interactions and Applications
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- nonlinear optical effects, topological photonics, Berry curvature, Berry connection, Floquet theory, shift current, noncentrosymmetric materials, nonlinear optical susceptibility, nonequilibrium steady states, nonlinear optical materials
- MeSH terms
- Models, Theoretical, Optical Phenomena
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