2017 Fiscal Year Research-status Report
Photonic Topological Insulators: Dynamical and Topological Effects
| Project/Area Number |
16K17761
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| Research Institution | Tohoku University |
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Principal Investigator |
LEIN MAXIMILIAN 東北大学, 材料科学高等研究所, 助教 (50769891)
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| Project Period (FY) |
2016-04-01 – 2020-03-31
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| Keywords | topological insulators / photonic crystals / electromagnetic waves |
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| Outline of Annual Research Achievements |
During FY2017, I have collaborated with Giuseppe De Nittis on Projects 1 and 3 of the proposal. As a result, we have finished 1 joint publication (which will appear in Annals of Physics) and 1 preprint (which is still under review). Additionally, I have contributed a peer-reviewed chapter to conference proceedings, which has been accepted and will appear in FY2018.
As far as outreach is concerned, I have given two invited talks on project-related research at international conferences in Incheon and at Santiago de Chile. On two other occasions I have given two contributed talks at international conferences at BIRS in Banff and in San Pedro de Atacama. Two of these conferences were part of a 4-week stay in Chile to work with Giuseppe De Nittis. Moreover, I have given one seminar talk at NIMS (Tsukuba) and one at my home institute (AIMR). I have also invited Claudio Fernandez (Pontificia Universidad de Chile) for a two-week period to work on scattering theory for Maxwell-type operators.
After finishing “The Schroedinger Formalism of Electromagnetism and Other Classical Waves” we have been contacted by Ilya Dodin who is working on magnetohydrodynamics (MHD). These equations fit into formalism we have initially developed for Maxwell's equations. We are currently exploring whether techniques from condensed matter physics may yield new insights for plasma physics. Another ongoing research project with Koji Sato does the same for spin waves in periodic media. Moreover, I have been invited by Alexander Khanikaev to write a review article on topological photonics with him.
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| Current Status of Research Progress |
Current Status of Research Progress
1: Research has progressed more than it was originally planned.
Reason
FY 2017 Project 1: In view of the correct classification of topological photonic crystals, the study of class AIII and class BDI models is no longer necessary.
FY 2017 Project 2 has been postponed to FY2018.
FY2017 Project 3 and FY2018 Project 3: The bulk classification of electromagnetic media is the main result of the preprint titled “Symmetry Classification of Topological Photonic Crystals”. The natural next step, a rigorous derivation the photonic bulk-edge correspondence is actively worked on at the moment.
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| Strategy for Future Research Activity |
Thanks to interactions with the community and colleagues, I am working on transferring the insights gained from electromagnetism to spin waves and magnetohydrodynamics. This should attract more attention to our results from other communities. Thanks to conference visits, I have been invited by Alexander Khanikaev to write a review on topological photonics with him.
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| Causes of Carryover |
Unexpected restrictions on the usage of Wakate B funds made it hard to realize planned trips.
Next year I plan on inviting a researcher from abroad such as Guo Chuan Thiang, Giuseppe De Nittis and Mario Silveirinha.
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