Spin relaxation for a confined electron in a buried carbon nanotube

The problem of spin relaxation in carbon nanotube quantum dots has recently been studied in theory [1,2] and experiment [3]. The existing theoretical work [1] focuses on a suspended tube, while many experimental studies are done in nanotubes buried under a dielectric. Here we consider the effect of bulk phonon modes of the substrate and/or dielectric coupled to a buried nanotube and investigate influence of the bulk dispersion and dimensionality on spin relaxation for an electron confined in a carbon nanotube quantum dot. \\[4pt] [1] D. V. Bulaev, B. Trauzettel, D. Loss, Phys. Rev. B 77 235301 (2008).\\[0pt] [2] B. Bezanson and X. Hu, in preparation.\\[0pt] [3] H. O. H. Churchill et al, Phys. Rev. Lett. 102, 166802 (2009)