Abstract
The electron Hamiltonian of narrow semiconductor rings with the Rashba and Dresselhaus spin-orbit terms is invariant under a time-reversal operation followed by a large gauge transformation. We find that all the eigenstates are doubly degenerate when integer or half-integer quantum fluxes thread the quantum ring. The wave functions of a degenerate pair are related to each other by the symmetry operation. These results are valid even in the presence of a disorder potential. When the Zeeman term is present only some of these degenerate levels anticross.
| Original language | English |
|---|---|
| Article number | 075315 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 74 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2006 Aug 23 |
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ASJC Scopus subject areas
- Condensed Matter Physics
Cite this
Degenerate states of narrow semiconductor rings in the presence of spin-orbit coupling : Role of time-reversal and large gauge transformations. / Yang, Sung Ryul.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 74, No. 7, 075315, 23.08.2006.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Degenerate states of narrow semiconductor rings in the presence of spin-orbit coupling
T2 - Role of time-reversal and large gauge transformations
AU - Yang, Sung Ryul
PY - 2006/8/23
Y1 - 2006/8/23
N2 - The electron Hamiltonian of narrow semiconductor rings with the Rashba and Dresselhaus spin-orbit terms is invariant under a time-reversal operation followed by a large gauge transformation. We find that all the eigenstates are doubly degenerate when integer or half-integer quantum fluxes thread the quantum ring. The wave functions of a degenerate pair are related to each other by the symmetry operation. These results are valid even in the presence of a disorder potential. When the Zeeman term is present only some of these degenerate levels anticross.
AB - The electron Hamiltonian of narrow semiconductor rings with the Rashba and Dresselhaus spin-orbit terms is invariant under a time-reversal operation followed by a large gauge transformation. We find that all the eigenstates are doubly degenerate when integer or half-integer quantum fluxes thread the quantum ring. The wave functions of a degenerate pair are related to each other by the symmetry operation. These results are valid even in the presence of a disorder potential. When the Zeeman term is present only some of these degenerate levels anticross.
UR - http://www.scopus.com/inward/record.url?scp=33747359907&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33747359907&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.74.075315
DO - 10.1103/PhysRevB.74.075315
M3 - Article
AN - SCOPUS:33747359907
VL - 74
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 7
M1 - 075315
ER -