A mathematical aspect of a tunnel-junction for spintronic qubit

Masao Hirokawa, Takuya Kosaka

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)856-872
Number of pages17
JournalJournal of Mathematical Analysis and Applications
Issue number2
Publication statusPublished - Sept 15 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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