Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction
arXiv:math-ph/0607034 · doi:10.1063/1.2364184
Abstract
A general technique for the study of embedded quantum graphs with magnetic fields and spin-orbit interaction is presented. The analysis is used to understand the contribution of Rashba constant to the extreme localization induced by magnetic field in the T3 shaped quantum graph. We show that this effect is destroyed at generic values of the Rashba constant. On the other hand, for certain combinations of the Rashba constant and the magnetic parameters another series of infinitely degenerate eigenvalues appears.
25 pages, typos corrected, references extended
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Cited by in corpus (6)
- Spectra of self-adjoint extensions and applications to solvable Schroedinger operators
- Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures
- Localization on quantum graphs with random edge lengths
- Localization on quantum graphs with random vertex couplings
- Spectra of magnetic chain graphs: coupling constant perturbations
- Sturm-Liouville Problems And Global Bounds By Small Control Sets And applications to quantum graphs