A mathematical aspect of a tunnel-junction for spintronic qubit

Masao Hirokawa, Takuya Kosaka

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

We consider the Dirac particle that lives in the 1-dimensional configuration space consisting of two quantum wires and a junction between the two. We regard the spin of a Dirac particle as spintronic qubit. We give concrete formulae explicitly expressing the one-to-one correspondence between every self-adjoint extension of the minimal Dirac operator and its corresponding boundary condition of the wave functions of the Dirac particle. We then show that all the boundary conditions can be classified into just two types. The two types are characterized by whether the electron passes through the junction or not. We also show how the tunneling produces its own phase factor and what is the relation between the phase factor and the spintronic qubit in the tunneling boundary condition.

本文言語英語
ページ(範囲)856-872
ページ数17
ジャーナルJournal of Mathematical Analysis and Applications
417
2
DOI
出版ステータス出版済み - 9 15 2014
外部発表はい

All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

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