| 研究課題/領域番号 |
23K13028
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| 研究種目 |
若手研究
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| 配分区分 | 基金 |
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| 審査区分 |
小区分13010:数理物理および物性基礎関連
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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) |
2023-04-01 – 2027-03-31
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| 研究課題ステータス |
交付 (2023年度)
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| 配分額 *注記 |
3,900千円 (直接経費: 3,000千円、間接経費: 900千円)
2026年度: 520千円 (直接経費: 400千円、間接経費: 120千円)
2025年度: 1,170千円 (直接経費: 900千円、間接経費: 270千円)
2024年度: 1,170千円 (直接経費: 900千円、間接経費: 270千円)
2023年度: 1,040千円 (直接経費: 800千円、間接経費: 240千円)
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| キーワード | Marjoana modes / superconductors / topological insulators / Jackiw-Rebbi solitons / topological matter / low dimensional systems / condensed matter / low-dimensional matter / Majorana bound states / superconductivity |
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| 研究開始時の研究の概要 |
The aim of this research is to theoretically predict new states of matter and new quantum phenomena induced by inhomogeneous or quasiperiodic structures with potential technological applications, in particular in the field of topological quantum computation and high-temperature superconductivity.
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| 研究実績の概要 |
In the last fiscal year, this research project resulted in 1 paper submitted, currently under review, and 1 paper which will be soon submitted to peer review.
The main scientific results are: 1) We proposed a novel platform for realizing Majorana modes in 2D topological superconductors with inhomogeneous order parameters. This may open new avenues for realizing a topological quantum computer. 2) We derived the exact zero-energy solutions of a modified Jackiw-Rebbi equation with a quadratic term used to describe topological phases in topological superconductors and insulators. This research will be soon submitted for peer review. This may impact the study of Majorana zero modes and more generally, edge modes and Jackiw-Rebbi-like solitons in topologically nontrivial matter.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
1: 当初の計画以上に進展している
理由
The research outcome was more than originally planned:
1) Our work describing a new platform to realize Majorana modes in 2D topological superconductors with inhomogeneous order parameters may be a versatile and realistic implementation of the Sachdev-Ye-Kitaev model (which can be regarded as a toy model to study the chaotic behavior of black holes) and also a toy-model to study condensed matters analogs of curved spacetime. These models were not considered in the original research plan. Our research on the modified Jackiw-Rebbi equations also revealed connections with the physics of nonhermitian systems, which was not originally planned in this research plan.
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| 今後の研究の推進方策 |
In the near future, I am planning to:
1) Generalize our novel platform to realize Majorana in 2D topological superconductors with inhomogeneous order parameters to similar systems with inhomogeneous fields.
2) Investigate in more details the solutions of the modified Jackiw-Rebbi equation in the nonhermitian regime.
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