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 - Eric Yang, S. R.
PY - 2006
Y1 - 2006
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 -