Problem 3.15 . Solid state physics Mihlay and martin . if the magnetic field is applied in the z direction, the cyclotron effective mass is defined as 1/2 m* = Mzz det | Mi 1) 4) "? Calculate the cyclotron frequency for electrons at the Fermi surface in a nearly empty tight-binding band, described by E = -(El cos kpa + E2 cos kyb Ez cos csc), and show that the result indeed corresponds to the cyclotron frequency of free electrons of mass m*
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