57 research outputs found
Longitudinal conductivity of massless fermions with tilted Dirac cone in magnetic field
We investigate a longitudinal conductivity of a two-dimensional relativistic
electron gas with a tilted Dirac cone in magnetic field. It is demonstrated
that the conductivity behaves differently in the directions parallel and
perpendicular to the tilting of the cone. At high magnetic fields the
conductivity at non-zero Landau levels in the direction perpendicular to the
tilting modifies non-trivially, in contrast to the parallel case. At zero
temperature the crossover of the conductivity at the Dirac point from high to
low magnetic field is studied numerically. It is found that that the tilting
produces anisotropy of the conductivity which changes with the magnetic field
which is different from the anisotropy coming from the Fermi velocity. We also
discuss the conductivity at finite temperatures and finite magnetic fields
which can be directly compared with the experiments in
-(BEDT-TTF)I organic conductor. We find that the tilting does
not affect so much the magnetic-filed dependence of the conductivity except for
the prefactor. We discuss the interpretation of recent experimental data and
make some proposals to detect the effect of the tilting in future experiments.Comment: 15 pages, 10 figures, accepted in Phys. Rev.
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