2022 Fiscal Year Final Research Report
Theoretical studies on couplings between surface Majorana fermions and boson excitations in topological superconductors and superfluids
Project/Area Number |
19K14662
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Research Category |
Grant-in-Aid for Early-Career Scientists
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Allocation Type | Multi-year Fund |
Review Section |
Basic Section 13030:Magnetism, superconductivity and strongly correlated systems-related
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Research Institution | Tohoku University |
Principal Investigator |
Masaki Yusuke 東北大学, 工学研究科, 助教 (90837840)
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Project Period (FY) |
2019-04-01 – 2023-03-31
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Keywords | トポロジカル超伝導・超流動 / マヨラナフェルミオン / 非可換渦 / 表面ボソンモード |
Outline of Final Research Achievements |
Majorana fermions can be realized at edges or topological defects of topological superconductos/superfluids and have attracted much attentions because of possible applications to quantum computating based on their non-Abelian statistics. In this work, the stability of non-Abelian vortex was found, and a Majorana fermion in its vortex core was also obtained theoretically, that is, a two-fold non-Abelian anyon. A surface bosonic mode in magnetic systems was also investigated, and its instability was clarified as the origin of a sharp change in the magnetic properties observed in expmeriments.
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Free Research Field |
物性理論
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Academic Significance and Societal Importance of the Research Achievements |
本研究成果によって,量子渦というボソン的な秩序変数における非可換性とマヨラナフェルミオンというフェルミオン的な渦内束縛状態の非可換性という二種類の非可換性を備えた半整数渦が安定に存在しうることが明らかとなった.非可換統計は量子計算への応用が期待される重要な特徴である.またソリトンの表面バリアの消失が表面ボソンモードの不安定化であることを明らかにした.表面での不安定化は実験でも急峻な物理量(物性状態)の変化として観測されており,次世代デバイス応用に期待されるソリトンの制御性からも重要である.
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