Rudner, Mark S.Rashba, Emmanuel2016-01-112010Rudner, Mark S., and Emmanuel I. Rashba. 2010. “Spin Relaxation Due to Deflection Coupling in Nanotube Quantum Dots.” Physical Review B 81 (12) (March 23). doi:10.1103/physrevb.81.125426.1098-0121http://nrs.harvard.edu/urn-3:HUL.InstRepos:24081353We consider relaxation of a single-electron spin in a nanotube quantum dot due to its coupling to flexural phonon modes, and identify a new spin-orbit-mediated coupling between the nanotube deflection and the electron spin. This mechanism dominates other spin-relaxation mechanisms in the limit of small energy transfers. Due to the quadratic dispersion law of long-wavelength flexons, q2, the density of states dq/d −1/2 diverges as →0. Furthermore, because here the spin couples directly to the nanotube deflection, there is an additional enhancement by a factor of 1/q compared to the deformation-potential coupling mechanism. We show that the deflection coupling robustly gives rise to a minimum in the magnetic field dependence of the spin lifetime T1 near an avoided crossing between spin-orbit split levels in both the high- and low-temperature limits. This provides a mechanism that supports the identification of the observed T1 minimum with an avoided crossing in the single-particle spectrum by Churchill et al. [Phys. Rev. Lett. 102, 166802 (2009)].en-USJournal Article2015-12-18Mark S. Rudner and Emmanuel I. Rashba2016-01-1110.1103/PhysRevB.81.125426