Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones

Abstract

We calculate conductance and noise for quantum transport at the nodal point for arbitrarily tilted and anisotropic Dirac or Weyl cones. Tilted and anisotropic dispersions are generic in absence of certain discrete symmetries, such as particle-hole and lattice point group symmetries. Whereas anisotropy affects the conductance g, but leaves the Fano factor F (the ratio of shot noise power and current) unchanged, a tilt affects both g and F. Since F is a universal number in many other situations, this finding is remarkable. We apply our general considerations to specific lattice models of strained graphene and a pyrochlore Weyl semi-metal.

Published. 6 pages, 5 figures

References in corpus (8)

• Electric Field Effect in Atomically Thin Carbon Films
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Dirac materials
• Quantum-limited shot noise in graphene
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Flat bands with higher Chern number in pyrochlore slabs
• Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators

Cited by in corpus (49)

• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Photocurrents in Weyl semimetals
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• Observation of an anisotropic Dirac cone reshaping and ferrimagnetic spin polarization in an organic conductor
• Photogalvanic effect in Weyl semimetals
• Current-Voltage Characteristics of Weyl Semimetal Semiconducting Devices, Veselago Lenses and Hyperbolic Dirac Phase
• Longitudinal conductivity of massless fermions with tilted Dirac cone in magnetic field
• Tilted disordered Weyl semimetals
• Josephson effect in a Weyl SNS junction
• Anomalous Nernst effect in type-II Weyl semimetals
• Role of topological charges in the nonlinear-optical response from Weyl semimetals
• Quantum Kinetic Theory of Nonlinear Optical Currents: Finite Fermi surface and Fermi sea contributions
• Thermoelectric response in nodal-point semimetals
• Tuning the Fano factor of graphene via Fermi velocity modulation
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Magneto-optical conductivity of anisotropic two-dimensional Dirac-Weyl materials
• Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field
• Anisotropic chiral magnetic effect from tilted Weyl cones
• Disorder in tilted Weyl semimetals from a renormalization group perspective
• High Fermi velocities and small cyclotron masses in LaAlGe
• Non-Linear Hall Effect in Multi-Weyl Semimetals
• Antisymmetric Seebeck effect in a tilted Weyl semimetal
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• 2D Ladder polyborane: an ideal Dirac semimetal with a multi-feld-tunable band gap
• Asymmetric conical diffraction in dislocated edge-centered square lattices
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
• Tilt induced vortical response and mixed anomaly in inhomogeneous Weyl matter
• Type-II Topological Dirac Semimetals: Theory and Materials Prediction (VAl3 family)
• Effect of chiral anomaly on the circular dichroism and Hall angle in doped and tilted Weyl semimetals
• Magnetovortical and thermoelectric transport in tilted Weyl metals
• Prediction of $\mathrm{TiRhAs}$ as a Dirac Nodal Line Semimetal via First-Principles Calculations
• Tilted Dirac Cones in Two-Dimensional Materials: Impact on Electron Transmission and Pseudospin Dynamics
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
• Quantum anomaly and anomalous Josephson effect in inversion asymmetric Weyl semimetals
• Irreducible momentum-space spin structure of Weyl semimetals and its signatures in Friedel oscillations
• Signature of nodal topology in nonlinear quantum transport across junctions in Weyl and multi-Weyl semimetals
• Quantum Criticality of Type-I and Critically Tilted Dirac Semimetals
• Effects of anisotropy on the high field magnetoresistance of Weyl semimetals
• Fano resonances in tilted Weyl semimetals in an oscillating quantum well
• Direct Observation of Strongly Tilted Dirac Points at General Positions in the Reciprocal Space
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Transport scaling and critical tilt effects in disordered two-dimensional Dirac fermions
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals
• Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect
• The Axial Anomaly in Lorentz Violating Theories: Towards the Electromagnetic Response of Weakly Tilted Weyl Semimetals