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2020 年度 実施状況報告書

Topological states of matter induced by spatially-modulated fields

研究課題

研究課題/領域番号 20K14375
研究機関東京大学

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)

研究期間 (年度) 2020-04-01 – 2023-03-31
キーワードトポロジカル量子現象 / 光格子中の冷却原子気体 / 準周期性 / Thoulessポンプ / トポロジカル超伝導 / 物質中のマヨラナ粒子 / 超対称性 / ナノワイヤ
研究実績の概要

I completed 2 points of my research plan:
III) "Supersymmetry in nanowires induced by spatially-modulated fields"
We show how to realize massive or massless 1D Majorana modes with SUSY in nanowires via a lattice of 0D Majorana modes and described their experimental signatures. We wrote 2 papers to be submitted to PRL and PRB by 5/2021. Coauthors: Daisuke Inotani and Muneto Nitta.
IV) "HH model and quantum pumps with ultracold atoms"
We extended the definition of Chern number to quasiperiodic Thouless pumps, described their experimental signatures [Phys. Rev. Research 2, 042035(R) 2020]. I made theoretical calculations to describe the interplay between topology and quasiperiodic disorder, experimentally realized with ultracold atoms in optical lattices in Kyoto University [Nat. Phys. 2021].

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

I planned to finish two points of my research plan in the first year. The research on both points progressed beyond the original plan.
Point III) I successfully completed my plan (I planned to finish in 9 months). Moreover, we had additional results on how to realize 1D Majorana modes. This was not expected and not originally planned. We wrote two papers instead of one, to include all results. I will submit to PRL and PRB after receiving the last feedback from my coauthors.
Point IV) I successfully completed my plan (I planned to finish in 4-6 months) and published one paper in PRResearch. Moreover, I collaborated with the experimental group of Kyoto University on this topic. This collaboration led to the publication of a paper in Nature Physics. This was not originally planned.

今後の研究の推進方策

I am planning to present my research at national and international conferences:
1) The workshop "Bound States in Hybrid Superconducting Nanostructures" (June 2021) organized by the Institute of Physics (IOP) and the Condensed Matter Division (CMD) of the European Physical Society (EPS);
2) The workshop "Theoretical studies of topological phases of matter" at the Yukawa Institute for Theoretical Physics, Kyoto University, Japan (October 2021), as an invited speaker;
3) The APS March Meeting (March 2022);
4) The Annual JPS meeting in Ookayama University (March 2022).
In the second half of 2021, if the pandemic situation will improve, I am planning to visit the research groups of Prof. Hatsugai in Tsukuba University, and Prof. Takahashi in Kyoto University.

次年度使用額が生じた理由

Due to the global pandemic, I was not able to travel to conferences and to research institutions abroad and in Japan. The grant money that I did not used during this fiscal year will be more useful in the next fiscal year. I will use it to fund research collaborations and participation to conferences in Japan, and possibly abroad. It is expected that the situation will improve in Japan and in the world.

備考

I create a short profile of my research including information on my latest published papers. The webpage content is created by me and it is hosted by the Tokyo University website.

  • 研究成果

    (8件)

すべて 2021 2020 その他

すべて 雑誌論文 (2件) (うち国際共著 2件、 査読あり 2件、 オープンアクセス 1件) 学会発表 (4件) (うち国際学会 4件) 備考 (2件)

  • [雑誌論文] Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms2021

    • 著者名/発表者名
      Shuta Nakajima, Nobuyuki Takei, Keita Sakuma, Yoshihito Kuno, Pasquale Marra, Yoshiro Takahashi
    • 雑誌名

      Nature Physics

      巻: 17 ページ: 844-849

    • DOI

      10.1038/s41567-021-01229-9

    • 査読あり / 国際共著
  • [雑誌論文] Topologically quantized current in quasiperiodic Thouless pumps2020

    • 著者名/発表者名
      Pasquale Marra, Muneto Nitta
    • 雑誌名

      Physical Review Research

      巻: 2 ページ: 042035(R)

    • DOI

      10.1103/PhysRevResearch.2.042035

    • 査読あり / オープンアクセス / 国際共著
  • [学会発表] Topological superconductors with periodically modulated magnetic fields: Andreev vs Majorana bound states, and emergent supersymmetry2021

    • 著者名/発表者名
      Pasquale Marra
    • 学会等名
      APS March Meeting (USA)
    • 国際学会
  • [学会発表] Topologically quantized current in quasiperiodic Thouless pumps2021

    • 著者名/発表者名
      Pasquale Marra
    • 学会等名
      APS March Meeting (USA)
    • 国際学会
  • [学会発表] Topologically nontrivial Andreev bound states2020

    • 著者名/発表者名
      Pasquale Marra
    • 学会等名
      CMD2020GEFES, Madrid (Spain)
    • 国際学会
  • [学会発表] Topologically quantized current in quasiperiodic Thouless pumps2020

    • 著者名/発表者名
      Pasquale Marra
    • 学会等名
      Localisation2020, Sapporo
    • 国際学会
  • [備考] Personal page (Japanese)

    • URL

      https://www.ms.u-tokyo.ac.jp/~pmarra/#ja

  • [備考] Personal page (English)

    • URL

      https://www.ms.u-tokyo.ac.jp/~pmarra/#en

URL: 

公開日: 2021-12-27  

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