| 研究課題/領域番号 |
20K14375
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| 研究機関 | 東京大学 |
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研究代表者 |
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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| 研究期間 (年度) |
2020-04-01 – 2024-03-31
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| キーワード | トポロジカル量子現象 / トポロジカル超伝導 / 準周期性 / 物質中のマヨラナ粒子 / 超対称性 / ナノワイヤ / 光格子中の冷却原子気体 / Thoulessポンプ |
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| 研究実績の概要 |
In this last fiscal year, my research resulted in 3 publications, one accepted paper, 6 oral contributions to conferences, and 4 invited seminars in research institutions. Scientifically, the main achievements were:
We demonstrated the possibility to braid Majorana modes via spatially-modulated fields, employing Majorana modes localized in discrete 1D arrays.
We proposed a novel way to manipulate Majorana modes in 2D superconductors via inhomogeneous superconducting order.
We developed a novel framework to describe nontrivial Majorana modes and other kinds of trivial modes in 1D superconductors.
I wrote an extended review on Majorana modes in topological superconductors, which summarizes the main achievements in the field and will hopefully serve as inspiration for future research.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
At the end of this fiscal year, the main research goals of my proposal have led to major publications, pushing the research in the field of topological states of matter in mesoscopic systems and in cold atomic gases, shedding new light on physical phenomena such as supersymmetry, Majorana modes, Thouless pumps, and quasiperiodicity. However, part of the research has been slowed down due to the lack of scientific discussions during the pandemic. As a result of this situation, some of the research achievements have not been published, but they will soon be submitted to review.
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| 今後の研究の推進方策 |
In the near future, I am planning to:
1) develop a proposal to employ spatially-modulated long-range orders, such as magnetic orders or superconducting inhomogeneous phases, in order to manipulate and braid topologically nontrivial anyons, such as Majorana modes in topological superconductors.
2) develop a more general framework to describe topologically protected edge modes in the presence of smoothly modulated fields, and to understand possible crossovers between different regimes.
3) develop a deeper understanding of the connections between quantum geometry and quasiperiodicity induced by spatially-modulated fields.
4) extend some of my previous findings obtained in one-dimensional models to two or higher dimensions.
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| 次年度使用額が生じた理由 |
Many conferences and academic visits were postponed due to the pandemic. As a consequence, I did not spend all the amount of funds planned. I will use the remaining funds for academic visits and conferences in the next fiscal year.
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