This chapter is devoted to the derivation of k⋅ p multi-band quantum transport models, in
both the pure-state and mixed-state cases. The first part of the chapter deals with pure …

We derive semiclassical diffusive equations for the densities of electrons in the two energy
bands of a semiconductor, as described by ak⋅ p Hamiltonian. The derivation starts from a …

Tunneling field effect transistors (TFETs) offer interesting opportunities to address two major
challenges faced by aggressively scaled conventional complementary metal-oxide …

A mathematical model for the quantum transport of a two-band semiconductor that includes
the self-consistent electrostatic potential is analyzed. Corrections beyond the usual effective …

We derive semiclassical diffusive equations for the local electron densities in a
semiconductor characterized by a two-band k· p Hamiltonian, under the action of a strong …

A new approach to perturbation theory in the quantum phase-space formalism is proposed,
in order to devise some approximated description of the quantum phase-space dynamics …

This dissertation presents a unique concept for a device architecture named the nanotube
(NT) architecture, which is capable of higher drive current compared to the Gate-All-Around …

The existence of the solution of a multiband kp-model that describes the quantum
mechanical motion of a system of particles in a crystal is discussed. The model includes the …

4. Ben Abdallah, N., Méhats, F., Negulescu, C.: Adiabatic quantum-fluid transport models.
Commun. Math. Sci. 4 (3), 621–650 (2006) MR2247934 (2007k: 82152) 5. Bohm, D.: A …

Let us modify the Wigner equation by adding a collisional term which mimics the dissipative
interaction of the quantum system with the environment. The simpler model is a BGK …