ar X iv : c on d - m at / 9 81 13 62 v 2 1 A ug 1 99 9 One Dimensional Phonon Coupled Electron Tunneling : A Realistic Model
نویسندگان
چکیده
The transition probability for a one dimensional tunneling electron coupled to acoustical phonons is calculated, with the Feynman path-integral method. We considered a realistic electron phonon interaction (deformation potential, piezoelectric), making use of slowness of the phonon system compared to electron tunneling. We show that the problem of the complex non-linear coupling of a tunneling electron to the zero point fluctuations of a phonon field is equivalent to that of an electron tunneling through a slow fluctuating spatially uniform barrier, thus resulting in an increase of the tunneling probability due to electron coupling with zero-point phonon oscillations. We calculated also the energy change of the tunneling electron due to phonon emission.
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ar X iv : c on d - m at / 9 81 13 62 v 1 2 5 N ov 1 99 8 One Dimensional Phonon Coupled Electron Tunneling : A Realistic Model
The transition probability for a one dimensional tunneling electron coupled to acoustical phonons is calculated, with the Feynman path-integral method for zero temperature. We considered a realistic electron phonon interaction (deformation potential, piezoelectric), making use of slowness of the phonon system compared to electron tunneling. We show that the problem of the complex non-linear cou...
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