Longitudinal conductivity of massless fermions with tilted Dirac cone in magnetic field

Abstract

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 $\alpha$-(BEDT-TTF)${}_2$I${}_3$ 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.

15 pages, 10 figures, accepted in Phys. Rev. B

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Cited by in corpus (12)

• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Interaction-induced quantum spin Hall insulator in the organic Dirac electron system $\alpha$-(BEDT-TSeF)${}_2$I${}_3$
• Mini Band Gap Generation in Magnetic Beta-Borophene: Effects of Optical Phonon Interaction
• Aperiodic quantum oscillations of particle-hole asymmetric Dirac cones
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• Tilted Dirac Cones in Two-Dimensional Materials: Impact on Electron Transmission and Pseudospin Dynamics
• Doping-controlled surface conduction in topological insulators with warping effects
• Narrow Zero Mode in Organic Massless Dirac Electron System $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Designer gapped and tilted Dirac cones in lateral graphene superlattices
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals
• Quantum high-frequency conductivity oscillations in graphene multilayers and nodal semimetals in a tilted magnetic field