Lifetime of resonant state in a spherical quantum dot |
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Authors: | Li Chun-Lei and Xiao Jing-Lin |
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Institution: | College of Physics and Electromechanics, Inner Mongolia National University,Tongliao 028043, China |
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Abstract: | This paper calculates the lifetime of resonant state and
transmission probability of a single electron tunnelling in a
spherical quantum dot (SQD) structure by using the transfer matrix
technique. In the SQD, the electron is confined both transversally
and longitudinally, the motion in the transverse and longitudinal
directions is separated by using the adiabatic approximation theory.
Meanwhile, the energy levels of the former are
considered as the
effective confining potential. The numerical calculations are carried out
for the SQD consisting of GaAs/InAs material. The obtained results show that the
bigger radius of the quantum dot not only leads significantly to the shifts
of resonant peaks toward the low-energy region, but also causes the
lengthening of the lifetime of resonant state. The lifetime of resonant
state can be calculated from the uncertainty principle between the energy
half width and lifetime. |
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Keywords: | spherical quantum dot lifetime of resonant state transmission probability |
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