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velocity approximation the motion of charge carriers in electric and magnetic fields does not lead to transverse magnetoresistance. The result is different with two

  

velocity approximation the motion of charge carriers in electric and magnetic fields does not lead to transverse magnetoresistance. The result is different with two car- rier types. OConsider a conductor with a concentration n of electrons of effective mass m, and relaxation time T; and a concentration p of holes of effective and relaxation time T. Treat the limit of very strong magnetic fields, w.T> 1. (n plec/B. (b) Show that the Hall field is given by, mass m. (a) Show in this limit that with Q = w.T, - 1 E, = - (n p) which vanishes if n = p. (c) Show that the effective conductivity in the x direction is -1 n + + (n - p O cf Ifn = p, o x B. If n + p, o saturates in strong fields; that is, it approaches a limit independent of B as B .

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