Churchill, Hugh Olen HillKuemmeth, FerdinandHarlow, Jennifer W.Bestwick, Andrew J.Rashba, EmmanuelFlensberg, KarstenStwertka, Carolyn H.Taychatanapat, ThitiWatson, Susan K.Marcus, C2011-08-152009Churchill, Hugh Olen Hill, Ferdinand Kuemmeth, Jennifer W. Harlow, Andrew J. Bestwick, Emmanuel I. Rashba, Karsten Flensberg, Carolyn H. Stwertka, Thiti Taychatanapat, Susan K. Watson, and Charles Masamed Marcus. 2009. Relaxation and dephasing in a two-electron \(^{13}C\) nanotube double quantum dot. Physical Review Letters 102(166802).0031-9007http://nrs.harvard.edu/urn-3:HUL.InstRepos:5110755We use charge sensing of Pauli blockade (including spin and isospin) in a two-electron \(^{13}C\) nanotube double quantum dot to measure relaxation and dephasing times. The relaxation time \(T_1\) first decreases with a parallel magnetic field and then goes through a minimum in a field of \(1.4 T\). We attribute both results to the spin-orbit-modified electronic spectrum of carbon nanotubes, which at high field enhances relaxation due to bending-mode phonons. The inhomogeneous dephasing time \(T_2^*\) is consistent with previous data on hyperfine coupling strength in \(^{13}C\) nanotubes.en-UScarbon nanotubesspinJournal Article2011-08-1510.1103/PhysRevLett.102.166802