Landauer-consistent interpretation of service mobility in quasi-ballistic field-effect transistors: Overcoming the constraints of the Y-function technique


Provider mobility extracted from low-field electrical measurements is broadly used to interpret transport in field-effect transistors; nevertheless, its bodily which means turns into ambiguous as gadgets method the quasi-ballistic regime. The Y-function technique, though numerically strong, implicitly assumes drift-diffusion transport and attributes deviations in measured traits solely to gate-field-dependent mobility degradation. Right here, we present that this assumption results in a scientific breakdown of mobility interpretation in short-channel gadgets, even when polynomial Y-function evaluation stays numerically steady. Temperature-dependent evaluation of linear-regime switch traits demonstrates that typical Y-function-based extraction yields unphysical mobility attenuation parameters as transport departs from the diffusive restrict. These anomalies don’t come up from becoming instability or enhanced scattering, however from neglecting finite channel-length and injection-limited results inherent to quasi-ballistic transport. By reinterpreting Y-function-extracted mobility inside the Landauer transport formalism, we introduce a Landauerconsistent framework that explicitly separates scattering-limited mobility from ballistic constraints imposed by finite channel size. This minimal correction restores bodily significant mobility parameters and permits self-consistent copy of each drain present and transconductance throughout the diffusive-to-quasi-ballistic transition, establishing a bodily grounded method for mobility evaluation past the traditional applicability of the Y-function technique.

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