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Group theory is a powerful tool to investigate spin-dependent
 transport and optical properties. It allows one to identify important
 processes and to define the physics with a minimal set of material
 dependent parameters. In this talk, I will present our recent findings
 for two material classes.
 
 Monolayer Transition-Metal Dichalogonides [1]: I will first delineate
 the transport limitations via zeroth-order selection rules and make
 connection with the energy relaxation of electrons, holes and hot
 excitons. Then, I will expand on spin flips induced by flexural
 phonons and show that the spin relaxation is ultrafast for electrons
 in free-standing membranes while being mitigated in supported
 membranes. This behavior is universal in 2D membranes that respect
 mirror symmetry and it leads to a counterintuitive inverse relation
 between mobility and spin relaxation. The findings will be compared
 with the case of graphene.
 
 Group IV semiconductors [2-6]: These materials are ideal choices for
 spintronic devices due to their relatively long spin lifetimes and
 mature technology. I will present our findings on the effects of
 electron-phonon interaction on spin-dependent optical and transport
 properties in Si and Ge.
 
 [1] Y. Song and H. Dery, “Transport Theory of Monolayer
 Transition-Metal Dichalcogenides”, preprint: arXiv 1302.3627 (2013).
 [2] P. Li, D. Trivedi and H. Dery, “Spin-dependent optical properties
 in strained silicon and germanium”, Phys. Rev. B 87, 115203 (2013).
 [3] P. Li, Y. Song and H. Dery, “Intrinsic spin lifetime of conduction
 electrons in germanium”, Phys. Rev. B 86, 085202 (2012).
 [4] J. Li, L. Qing, H. Dery, and I. Appelbaum, “Field-induced negative
 differential spin lifetime in silicon”, Phys. Rev. Lett. 108, 157201
 (2012).
 [5] P. Li and H. Dery, “Spin-Orbit Symmetries of Conduction Electrons
 in Silicon”, Phys. Rev. Lett. 107, 107203 (2011).
 [6] P. Li and H. Dery, “Theory of spin-dependent phonon-assisted
 optical transitions in silicon”, Phys. Rev. Lett. 105, 037204 (2010).
 
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