2009
DOI: 10.1143/jjap.48.034504
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New Solution to High-Field Transport in Semiconductors: II. Velocity Saturation and Ballistic Transmission

Abstract: High-field transport in semiconductor diodes at room temperature is analyzed in the reflection-transmission regime. The pseudo-one-dimensional Boltzmann equation with a constant electric field is transformed into a pair of carrier flux equations. They are analytically solved neither with the relaxation time approximation nor with the perturbation expansion.The carrier energy relaxation due to optical phonon emission is essential in high-field transport. The current-and velocity-field characteristics are closel… Show more

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Cited by 21 publications
(12 citation statements)
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“…The first region is next to the source, where the carrier energy is assumed to be smaller than the optical phonon energy and only elastic scattering occurs. The second region is next to the first, where the carrier has a larger energy than the optical phonon caused by the acceleration of the lateral electric field, and the inelastic scattering from the optical phonon decreases the carrier energy as shown in Figure 8 (20,21). The pseudo one-dimensional Boltzmann equation with a constant electric field is transformed into a pair of carrier flux equations.…”
Section: Potentialmentioning
confidence: 99%
“…The first region is next to the source, where the carrier energy is assumed to be smaller than the optical phonon energy and only elastic scattering occurs. The second region is next to the first, where the carrier has a larger energy than the optical phonon caused by the acceleration of the lateral electric field, and the inelastic scattering from the optical phonon decreases the carrier energy as shown in Figure 8 (20,21). The pseudo one-dimensional Boltzmann equation with a constant electric field is transformed into a pair of carrier flux equations.…”
Section: Potentialmentioning
confidence: 99%
“…The first region is next to the source, where the carrier energy is assumed to be smaller than the optical phonon energy and only elastic scattering occurs. The second region is next to the first, where the carrier has a larger energy than the optical phonon caused by the acceleration of the lateral electric field, and the inelastic scattering from the optical phonon decreases the carrier energy as shown in Figure 8 [23,24]. The pseudo one-dimensional Boltzmann equation with a constant electric field is transformed into a pair of carrier flux equations.…”
Section: Modelingmentioning
confidence: 99%
“…where,  S and  D =  S -qV D are Fermi levels of the source and the drain electrodes, respectively, and g i is the subband degeneracy. The expression of T i () was derived by embodying the transport model [3,4]…”
Section: Compact Modelmentioning
confidence: 99%