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A Drude-Sommerfeld topological model (DSTM) is proposed to describe Weylfermions under residual collisions. They are nearly free and dressed by theirown weak magnetic field that breaks the reflection and time symmetries around alayer. This weak magnetic field brings topological stability to the statesthrough a non-trivial Chern-Simons number which is here calculated in the limitof a Dirac linear spectrum. The Weyl fermions display an energy gap and muchabove this gap the spectrum becomes Dirac linear. They are obtained from aSchroedinger like hamiltonian for particles with spin and magnetic energy whichare momentum confined to a layer. The electrical and the thermal conductivitiesof the Weyl fermions as well as the corresponding Wiedemman-Franz law arederived in the framework of a constant relaxation time. The Lorenz numbercoefficient acquires asymptotic value $6.5552$ times the bulk value of$\pi^2/3$. The relaxation time is shown to be renormalized by the inverse ofthe square of the gap, and so, leads to a ballistic regime in the linear Diracspectrum limit.

The linear Dirac spectrum and the Weyl states in the Drude-Sommerfeld topological model