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Abstract:
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A calculation is presented on the scattering rates of electrons via the bulk spectrum of longitudinal
optical phonons near a current-carrying core of radius R employing the Frohlich interaction Hamiltonian.
The electrons are mainly confined near the core by an electric potential and are also under the influence of
the current-induced spatially inhomogeneous static azimuthal magnetic field. The external magnetic field
lifts the double degeneracy of the non-zero electron's axial wave number (kz ) states, while that of the nonzero
azimuthal quantum number (m) states is preserved. In fact, the kz < 0 electron's energy subbands are
found to be characterized by minima in their variations with the field. The intrasubband scattering rates show
a remarkable behavior in their variations with the field. First, for weak electric potential of the nanosystem,
these exhibit a strong, nonetheless inharmonic, oscillatory behavior in their variations with the field. The
oscillations are, however, smoothed out as the strength of the electrical potential is increased, commencing
at lower values of the field, within the same range of values of the field used. Second, for the same strength
of the electric potential, there arise phase variations of the scattering rates in their variations with the field,
resulting from the variation in the electron's axial wave number. |