Semiclassical Boltzmann transport theory for multi-Weyl semimetals

Abstract

Multi-Weyl semimetals (m-WSMs) are a new type of Weyl semimetal that have linear dispersion along one symmetry direction but anisotropic non-linear dispersion along the two transverse directions with a topological charge larger than one. Using the Boltzmann transport theory and fully incorporating the anisotropy of the system, we study the DC conductivity as a function of carrier density and temperature. We find that the characteristic density and temperature dependence of the transport coefficients at the level of Boltzmann theory are controlled by the topological charge of the multi-Weyl point and distinguish m-WSMs from their linear Weyl counterparts.

5 pages, 4 figures + supplementary material (10 pages)

References in corpus (7)

• Carrier screening, transport, and relaxation in 3D Dirac semimetals
• Semiclassical framework for the calculation of transport anisotropies
• Coulomb disorder in three-dimensional Dirac systems
• Collective modes in multi-Weyl semimetals
• Quantum transport in three-dimensional Weyl electron system -- in the presence of charged impurity scattering
• Disordered double Weyl node: Comparison of transport and density-of-states calculations
• Charge transport in gapless chiral electron systems with arbitrary band dispersion

Cited by in corpus (32)

• Topological responses from chiral anomaly in multi-Weyl semimetals
• Thermopower in an anisotropic two-dimensional Weyl semimetal
• Magneto-transport phenomena of type-I multi-Weyl semimetals in co-planar setups
• Doping and tilting on optics in noncentrosymmetric multi-Weyl semimetals
• Thermo-electric transport properties of Floquet multi-Weyl Semimetals
• Dislocation defect as a bulk probe of monopole charge of multi-Weyl semimetals
• Role of topological charges in the nonlinear-optical response from Weyl semimetals
• Understanding the three-dimensional quantum Hall effect in generic multi-Weyl semimetals
• Thermoelectric response in nodal-point semimetals
• Topological quantum critical point in a triple-Weyl semimetal: non-Fermi-liquid behaviors and instabilities
• RKKY interaction of magnetic impurities in multi-Weyl semimetals
• Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
• Topological Properties of the Chiral Magnetic Effect in Multi-Weyl Semimetals
• Anomalous Hall transport in tilted multi-Weyl semimetals
• Phase transitions in a holographic multi-Weyl semimetal
• Vertex corrections to the dc conductivity in anisotropic multiband systems
• Non-Linear Hall Effect in Multi-Weyl Semimetals
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Photogalvanic response in multi-Weyl semimetals
• Screening, Friedel oscillations, RKKY interaction, and Drude transport in anisotropic two-dimensional systems
• Semiclassical Boltzmann transport theory of few-layer black phosphorus in various phases
• Nonsymmorphic Dirac semimetal and carrier dynamics in doped spin-orbit-coupled Mott insulator Sr${}_2$IrO${}_4$
• Semiclassical Boltzmann magnetotransport theory in anisotropic systems with a nonvanishing Berry curvature
• Low-energy electrodynamics of Dirac semimetal phases in the doped Mott insulator Sr${}_2$IrO${}_4$
• Topological charge Fano effect in multi-Weyl semimetals
• Weyl systems: anomalous transport normally explained
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Signature of nodal topology in nonlinear quantum transport across junctions in Weyl and multi-Weyl semimetals
• Tunable quantum interference effect on magnetoconductivity in few-layer black phosphorus
• Impact of Broken Inversion Symmetry on Molecular States in multi-Weyl fermions
• Diffusive density response of electrons in anisotropic multiband systems
• Effect of trivial bands on chiral anomaly-induced longitudinal magnetoconductivity in Weyl semimetals