論文

査読有り
2014年9月

A mathematical aspect of a tunnel-junction for spintronic qubit

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Masao Hirokawa
  • ,
  • Takuya Kosaka

417
2
開始ページ
856
終了ページ
872
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/j.jmaa.2014.03.061
出版者・発行元
ACADEMIC PRESS INC ELSEVIER SCIENCE

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. (C) 2014 Elsevier Inc. All rights reserved.

Web of Science ® 被引用回数 : 1

リンク情報
DOI
https://doi.org/10.1016/j.jmaa.2014.03.061
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000335487000020&DestApp=WOS_CPL
URL
http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000335487000020

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