Electron magnetotransport in disordered Weyl semimetals

We study magnetotransport in a disordered Weyl semimetal taking into 
account localization effects. In the vicinity of a Weyl node, a single 
chiral Landau level coexists with a number of conventional non-chiral 
levels. Disorder scattering mixes these topologically different modes 
leading to peculiar localization effects. Similar interplay of topology 
and localization occurs at the edge of a two-dimensional topological 
insulator and in carbon nanotubes. We develop a general theory 
describing transport phenomena in all these cases. Our theory yields 
conductance, shot noise power, and full counting statistics of the 
charge transfer. In the case of a Weyl semimetal, we find that 
localization is greatly enhanced in a strong magnetic field with the 
typical localization length scaling as 1/B. This situation is typical 
for all topological conductors with broken time-reversal symmetry. 
Systems with preserved time-reversal symmetry (e.g., carbon nanotubes), 
sustain at most one topologically protected channel. For this case, we 
derive exact distribution function of transmission probabilities based 
on the mapping to a certain random-matrix model.