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.

arXiv comment15 pages, 10 figures, accepted in Phys. Rev. B

References in corpus (24)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Topological insulators and superconductors
• Electronic Properties of Disordered Two-Dimensional Carbon
• Pressure-Induced Zero-Gap Semiconducting State in Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ Salt
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Novel electric field effects on Landau levels in Graphene
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations
• Observation of Dirac Cone Electronic Dispersion in BaFe2As2
• Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations II: transport properties
• First-Principles Study of Electronic Structure in $\alpha$-(BEDT-TTF)${}_2$I${}_3$ at Ambient Pressure and with Uniaxial Strain
• Effects of the Zero-Mode Landau Level on Inter-Layer Magnetoresistance in Multilayer Massless Dirac Fermion Systems
• Possible Verification of Tilted Anisotropic Dirac Cone in α-(BEDT-TTF)_2 I_3 Using Interlayer Magnetoresistance
• Quantum Hall effect in multilayered massless Dirac fermion systems with tilted cones
• Electric-field-induced lifting of the valley degeneracy in alpha-(BEDT-TTF)_2I_3 Dirac-like Landau levels
• Spin and Valley Splittings in Multilayered Massless Dirac Fermion System
• Generalized Chiral Symmetry and Stability of Zero Modes for Tilted Dirac Cones
• Crossover from Positive to Negative Interlayer Magnetoresistance in Multilayer Massless Dirac Fermion System with Non-Vertical Interlayer Tunneling
• Transport properties in the d-density-wave state in an external magnetic field: The Wiedemann-Franz law
• Giant Nernst-Ettingshausen oscillations in Semiclassically strong magnetic fields
• Evidence for the coexistence of Dirac and massive carriers in a-(BEDT-TTF)2I3 under hydrostatic pressure
• Magnetoplasmons of the tilted-anisotropic Dirac cone material $\alpha -$(BEDT-TTF)${}_2$I${}_3$
• Thermoelectric Transport Coefficients for Massless Dirac Electrons in Quantum Limit
• Theory of inplane magnetoresistance in two-dimensional massless Dirac fermion system

Cited by in corpus (30)

• Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
• Type-II Dirac surface states in topological crystalline insulators
• Magnetotransport properties of 8-Pmmn borophene: effects of Hall field and strain
• Kinky plasmons in double layers of borophene-borophene and borophene-graphene
• Surface charge conductivity of topological insulator in a magnetic field: effect of hexagonal warping
• Strain-driven nematicity of the odd-parity superconductivity in Sr${}_x$Bi${}_2$Se${}_3$
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Valley-dependent time evolution of coherent electron states in tilted anisotropic Dirac materials
• Transport properties of organic Dirac electron system α-(BEDT-TSeF)${}_2$I${}_3$
• Electrically charged Andreev modes in two-dimensional tilted Dirac cone systems
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Interaction-induced quantum spin Hall insulator in the organic Dirac electron system $\alpha$-(BEDT-TSeF)${}_2$I${}_3$
• Aperiodic quantum oscillations of particle-hole asymmetric Dirac cones
• Mini Band Gap Generation in Magnetic Beta-Borophene: Effects of Optical Phonon Interaction
• Domain Wall Conductivity with strong Coulomb interaction of two-dimensional massive Dirac Electrons in the Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• Universal Behavior of Magnetoresistance in Organic Dirac Electron Systems
• Thermoelectric transport of type-I, II, and III massless Dirac fermions in two-dimensional lattice model
• Thin film of a topological insulator as a spin Hall insulator
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• Effect of Coulomb Interaction on Seebeck Coefficient of Organic Dirac Electron System $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Tilted Dirac Cones in Two-Dimensional Materials: Impact on Electron Transmission and Pseudospin Dynamics
• Doping-controlled surface conduction in topological insulators with warping effects
• Fast nuclear spin relaxation rates in tilted cone Weyl semimetals: Redshift factors from Korringa relation
• Narrow Zero Mode in Organic Massless Dirac Electron System $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Singular low-energy states of tilted Dirac semimetals induced by the fermion-fermion interactions
• 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