Consider a conductor with a concentration n of electrons with effective mass m, and relaxation time...

   

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Consider a conductor with a concentration n of electrons with effective mass m, and relaxation time r, and a concentration p of holes with effective mass m, and relaxation time T. Both the longitudinal resistance and the Half resistance can be extracted within the drift velocity approximation. (a) Show that the Hall . where b = and the mobility is given by H. = and Hn B limit (neglecting B2 term); (b) In the strong magnetic field limit (wcacn)Tocn) » 1, wcach) * coefficient is Ry in the small J, the Hall conductivity is given by ay (n-p)ec :(e) In the strong magnetic field limit, the longitudinal conductivity is given by ec + (n– p) ( Weate wenTh If n p, Oxx B. ifn p, Ox saturates in strong fields. Consider a conductor with a concentration n of electrons with effective mass m, and relaxation time r, and a concentration p of holes with effective mass m, and relaxation time T. Both the longitudinal resistance and the Half resistance can be extracted within the drift velocity approximation. (a) Show that the Hall . where b = and the mobility is given by H. = and Hn B limit (neglecting B2 term); (b) In the strong magnetic field limit (wcacn)Tocn) » 1, wcach) * coefficient is Ry in the small J, the Hall conductivity is given by ay (n-p)ec :(e) In the strong magnetic field limit, the longitudinal conductivity is given by ec + (n– p) ( Weate wenTh If n p, Oxx B. ifn p, Ox saturates in strong fields.