کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615799 | 1339329 | 2014 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A mathematical aspect of a tunnel-junction for spintronic qubit A mathematical aspect of a tunnel-junction for spintronic qubit](/preview/png/4615799.png)
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.
Journal: Journal of Mathematical Analysis and Applications - Volume 417, Issue 2, 15 September 2014, Pages 856–872