| Project/Area Number |
23K13028
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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| Review Section |
Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
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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) |
2023-04-01 – 2027-03-31
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| Project Status |
Granted (Fiscal Year 2023)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2026: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2025: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2024: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2023: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 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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| Outline of Research at the Start |
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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| Outline of Annual Research Achievements |
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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| Current Status of Research Progress |
Current Status of Research Progress
1: Research has progressed more than it was originally planned.
Reason
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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| Strategy for Future Research Activity |
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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