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We develop a systematic approach of quantifying spin-orbit coupling (SOC) and a rigorous theory of carrier spin
relaxation caused by the SOC in disordered organic solids. The SOC mixes up- and down-spin in the polaron states and
can be characterized by an admixture parameter. The spin relaxation rate is found to be proportional to the carrierhopping
rate, or equivalently, carrier mobility. The spin diffusion length depends on the spin mixing and hopping
distance but is insensitive to the carrier mobility. The SOCs in tris-(8-hydroxyquinoline) aluminum (Alq3) and in copper
phthalocyanine (CuPc) are particularly strong, due to the orthogonal arrangement of the three ligands in the former and
Cu 3d orbitals in the latter.The theory quantitatively explains the recent measured spin diffusion lengths in Alq3 from
muon spin rotation and in CuPc from spin-polarized two-photon photoemission.
Zhi-Gang Yu
"Spin-orbit coupling, spin relaxation, and spin diffusion in organic solids", Proc. SPIE 8333, Photonics and Optoelectronics Meetings (POEM) 2011: Optoelectronic Devices and Integration, 83331A (22 February 2012); https://doi.org/10.1117/12.919390
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Zhi-Gang Yu, "Spin-orbit coupling, spin relaxation, and spin diffusion in organic solids," Proc. SPIE 8333, Photonics and Optoelectronics Meetings (POEM) 2011: Optoelectronic Devices and Integration, 83331A (22 February 2012); https://doi.org/10.1117/12.919390