2023 Fiscal Year Research-status Report
Topological matter in inhomogeneous low-dimensional systems
| Project/Area Number |
23K13028
|
|---|
| Research Institution | The University of Tokyo |
|---|
Principal Investigator |
Marra Pasquale 東京大学, 大学院数理科学研究科, 特任研究員 (20799861)
|
|---|
| Project Period (FY) |
2023-04-01 – 2027-03-31
|
| Keywords | Marjoana modes / superconductors / topological insulators / Jackiw-Rebbi solitons / topological matter / low dimensional systems |
|---|
| 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.
|
| 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.
|
| 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.
|
| Causes of Carryover |
I am planning to use the grant to travel to conferences and to pay open access publication fees.
|
