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Renormalization group equations in a two-valley system with valley-splittingand intervalley scattering are derived in the presence of spin-splittinginduced by a parallel magnetic field. The relevant amplitudes in differentregimes set by the relative strengths of the spin and valley splittings and theintervalley scattering rate are identified. The range of applicability of thestandard formula for the magnetoconductance is discussed.

Renormalization group study of a two-valley system with spin-splitting