Authors :
Effiong E. Eyibio; Eno E. Ituen; Monday Etiufan Udoh; Jude Odams Gian
Volume/Issue :
Volume 8 - 2023, Issue 7 - July
Google Scholar :
https://bit.ly/3TmGbDi
Scribd :
https://tinyurl.com/mr2ut2jk
DOI :
https://doi.org/10.5281/zenodo.8185453
Abstract :
Two nanowires coupled together such that
one has only spin-orbit coupling and the other have
Spin-orbit coupling and magnetism; reflection, and
transmission of an electron occurs their interface. In the
absence of the barrier strength z, reflection would not be
possible and the electron will be maximally transmitted.
However, when the chemical potential in the right region
was greater than that of the left region, it acted as a
small barrier, and allowed for small reflection at low
energy. This reflection became insignificant at higher
energy. Transmission of an electron reduced as z
increased while reflection increased, but as the energy of
the electron increased, transmission increased while
reflection reduced to minimal. In the N1-N2-N3
junctions, N2 acts as a barrier and causes spin-up
reflection even when z = 0. On introducing the barrier z,
N2-induced spin-up reflection occurs but reduces to
minimum value as the energy of the electron increases,
and then a barrier-induced spin-up reflection occurs,
and keeps increasing to a steady value. During the
second stage of spin-up reflection, increasing the energy
energizes the reflection process. The tunneling
conductance decreased with increasing barrier strength
in both trivial and non-trivial phases. In the N1-N2-N3
junctions, when the length of the central wire, L = 1.0,
the tunneling conductance could quickly attain
maximum values as the energy of the electron increased
in both phases unlike when L = 0. The zero-bias
conductance abruptly jumped from G (0) = 0 in the
trivial regime to G (0) = 1 in the non-trivial regime.
Keywords :
Nanowire, Spin, Helical, Eigenvalues, Hamiltonian and Chemical potential.
Two nanowires coupled together such that
one has only spin-orbit coupling and the other have
Spin-orbit coupling and magnetism; reflection, and
transmission of an electron occurs their interface. In the
absence of the barrier strength z, reflection would not be
possible and the electron will be maximally transmitted.
However, when the chemical potential in the right region
was greater than that of the left region, it acted as a
small barrier, and allowed for small reflection at low
energy. This reflection became insignificant at higher
energy. Transmission of an electron reduced as z
increased while reflection increased, but as the energy of
the electron increased, transmission increased while
reflection reduced to minimal. In the N1-N2-N3
junctions, N2 acts as a barrier and causes spin-up
reflection even when z = 0. On introducing the barrier z,
N2-induced spin-up reflection occurs but reduces to
minimum value as the energy of the electron increases,
and then a barrier-induced spin-up reflection occurs,
and keeps increasing to a steady value. During the
second stage of spin-up reflection, increasing the energy
energizes the reflection process. The tunneling
conductance decreased with increasing barrier strength
in both trivial and non-trivial phases. In the N1-N2-N3
junctions, when the length of the central wire, L = 1.0,
the tunneling conductance could quickly attain
maximum values as the energy of the electron increased
in both phases unlike when L = 0. The zero-bias
conductance abruptly jumped from G (0) = 0 in the
trivial regime to G (0) = 1 in the non-trivial regime.
Keywords :
Nanowire, Spin, Helical, Eigenvalues, Hamiltonian and Chemical potential.
