A mathematical aspect of a tunnel-junction for spintronic qubit

Masao Hirokawa, Takuya Kosaka

研究成果: ジャーナルへの寄稿記事

1 引用 (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.

元の言語英語
ページ(範囲)856-872
ページ数17
ジャーナルJournal of Mathematical Analysis and Applications
417
発行部数2
DOI
出版物ステータス出版済み - 9 15 2014

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Spintronics
Magnetoelectronics
Tunnel junctions
Qubit
Tunnel
Paul Adrien Maurice Dirac
Boundary conditions
Quantum Wires
Semiconductor quantum wires
Self-adjoint Extension
Dirac Operator
One to one correspondence
Wave functions
Configuration Space
Wave Function
Mathematical operators
Concretes
Electron
Electrons

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

これを引用

A mathematical aspect of a tunnel-junction for spintronic qubit. / Hirokawa, Masao; Kosaka, Takuya.

:: Journal of Mathematical Analysis and Applications, 巻 417, 番号 2, 15.09.2014, p. 856-872.

研究成果: ジャーナルへの寄稿記事

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