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math-ph2026
Ballistic electron transport described by a generalized Schrödinger equation
Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano
We propose a Schrödinger equation of arbitrary order for modeling charge transport in semiconductors operating in the ballistic regime. This formulation incorporates non-parabolic…
math-ph2025
A discontinuous Galerkin approach for simulating graphene-based electron devices via the Boltzmann transport equation
Giovanni Nastasi, Vittorio Romano
Electron devices based on graphene have lately received a considerable interest; in fact, they could represent the ultimate miniaturization, since the active area is only one atom…
math-ph2025
Ballistic electron transport described by a fourth-order Schrödinger equation
Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano
A fourth-order Schrödinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in th…