2021 Fiscal Year Research-status Report
Topological states of matter induced by spatially-modulated fields
| Project/Area Number |
20K14375
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| Research Institution | The University of Tokyo |
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Principal Investigator |
Marra Pasquale 東京大学, 大学院数理科学研究科, 特任研究員 (20799861)
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| Project Period (FY) |
2020-04-01 – 2023-03-31
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| Keywords | 超対称性 / Thoulessポンプ / 準周期性 / 光格子中の冷却原子気体 / トポロジカル超伝導 / ナノワイヤ / 物質中のマヨラナ粒子 / トポロジカル量子現象 |
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| Outline of Annual Research Achievements |
2 published papers, 2 accepted papers, and participation in 3 conferences with oral contributions. Publications: Nat. Phys. 17, 844-849 in a collaboration with Kyoto University; J. Phys. Condens. Matter 34, 124001 in the "Special Issue on Majorana Modes: Status and Prospects" invited and edited by F. Nichele (IBM Research, Switzerland), A. Black-Schaffer (Uppsala Univ, Sweden), M. Deng (Institute for Quantum Information, China). Accepted papers (to be published soon): Communications Physics and Phys. Rev. B, in a collaboration with Keio University. Conferences: APS March meeting (Chicago); YITP workshop "Theoretical studies of topological phases of matter" (Kyoto); CMD29 meeting "Bound states in hybrid superconductor nanostructures", Institute of Physics (UK).
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
The research so far is proceeding as planned, with published/accepted papers on Points I, III, and IV of my research proposal. In FY2021, I made advances regarding point III, "Supersymmetry in nanowires induced by spatially-modulated fields", which led to the discovery of partially broken SUSY in a condensed matter system, with 2 papers on the topic. Also, I made advances on point I, "Nontrivial Andreev bound states in nanowires (superconducting HH model)", regarding Andreev/Majorana bound states (1 paper) and will soon submit a review paper on the same topic.
I participated in a few conferences in Japan and abroad. Unfortunately, I could not attend some conferences and could not visit researchers abroad due to travel restrictions.
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| Strategy for Future Research Activity |
In the last year, I plan to submit 3 papers:
1) A paper on the effect of quasi-periodic disorder in Thouless pumps, describing in more detail the theoretical calculations of our previous Nature Physics paper.
2) A paper on Majorana bound states and topologically-nontrivial Andreev bound states in nanowires, building on our previous work.
3) A review paper on Majorana and Andreev bound states in nanowires in the Journal of Applied Physics.
Also, I will work on expanding the study on supersymmetry in topological superconductors concerning other physical systems (e.g., cold atoms) and considering possible applications in the field of topological quantum computation. Moreover, I plan to participate in international conferences in Japan and abroad and to travel to expand my research network.
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| Causes of Carryover |
I plan to use the remaining amount for travel expenses to participate to conferences in Japan and abroad, and visit foreign research institutions in order to expand my research network.
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