Semiclassical Boltzmann magnetotransport theory in anisotropic systems with a nonvanishing Berry curvature
arXiv:2110.08816 · doi:10.1088/1367-2630/acc122
Abstract
Understanding the transport behavior of an electronic system under the influence of a magnetic field remains a key subject in condensed matter physics. Particularly in topological materials, their nonvanishing Berry curvature can lead to many interesting phenomena in magnetotransport owing to the coupling between the magnetic field and Berry curvature. By fully incorporating both the field-driven anisotropy and inherent anisotropy in the band dispersion, we study the semiclassical Boltzmann magnetotransport theory in topological materials with a nonvanishing Berry curvature. We show that as a solution to the Boltzmann transport equation the effective mean-free-path vector is given by the integral equation, including the effective velocity arising from the coupling between the magnetic field, Berry curvature and mobility. We also calculate the conductivity of Weyl semimetals with an isotropic energy dispersion, and find that the coupling between the magnetic field and Berry curvature induces anisotropy in the relaxation time, showing a substantial deviation from the result obtained assuming a constant relaxation time.
arXiv comment19 pages, 3 figures
References in corpus (52)
- Berry Phase Effects on Electronic Properties
- Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
- Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
- Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
- Valley Dependent Optoelectronics from Inversion Symmetry Breaking
- Observation of the chiral magnetic effect in ZrTe5
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
- Topological response in Weyl semimetals and the chiral anomaly
- Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
- Berry phase correction to electron density of states in solids
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Orbital magnetization in periodic insulators
- Negative Magnetoresistance in Dirac Semimetal Cd3As2
- Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
- Chiral Kinetic Theory
- Dirac vs. Weyl in topological insulators: Adler-Bell-Jackiw anomaly in transport phenomena
- Chiral anomaly and transport in Weyl metals
- Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
- Thermoelectric properties of Weyl and Dirac semimetals
- Dichroic f-sum rule and the orbital magnetization of crystals
- Room-temperature chiral charge pumping in Dirac semimetals
- Quantum Transport in Topological Semimetals under Magnetic Fields
- Giant anisotropic magnetoresistance and planar Hall effect in the Dirac semimetal Cd3As2
- Boltzmann-equation approach to anomalous transport in a Weyl metal
- Negative Magnetoresistance without Chiral Anomaly in Topological Insulators
- Linear magneto-chiral transport in tilted type-I and type-II Weyl Semimetals
- On the magnetotransport of Weyl semimetals due to the chiral anomaly
- Mobility anisotropy in monolayer black phosphorus due to charged impurities
- Gigantic negative magnetoresistance in a disordered topological insulator
- Thermoelectric transport in double-Weyl semimetals
- Longitudinal negative magnetoresistance and magneto-transport phenomena in conventional and topological conductors
- Current induced anisotropic magnetoresistance in topological insulator films
- Anisotropic and strong negative magneto-resistance in the three-dimensional topological insulator Bi2Se3
- Quantum Kinetic Theory of the Chiral Anomaly
- Quantum Oscillations of The Positive Longitudinal Magnetoconductivity: a Fingerprint for Identifying Weyl Semimetals
- The Chiral Anomaly and Ultrahigh Mobility in Crystalline HfTe5
- Semiclassical Boltzmann transport theory for multi-Weyl semimetals
- Negative longitudinal magnetoresistance from anomalous N=0 Landau level in topological materials
- Intrinsic Magnetoconductivity of Non-magnetic Metals
- Chiral anomaly induced negative magnetoresistance in topological Weyl semimetal NbAs
- Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
- Necessary and sufficient condition for longitudinal magnetoresistance
- Intrinsic Magnetoresistance in Three-Dimensional Dirac Materials
- Negative magnetoresistance suppressed through topological phase transition in (Cd1-xZnx)3As2 films
- Spin-dependent scattering induced negative magnetoresistance in topological insulator Bi2Te3 nanowires
- Robustness of anomaly-related magnetoresistance in doped Weyl semimetals
- Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder
- Vertex corrections to the dc conductivity in anisotropic multiband systems
- Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics
- Quantum Diffusive Magneto-transport in Massive Dirac Materials with Chiral Symmetry Breaking
- Semiclassical Boltzmann transport theory of few-layer black phosphorus in various phases
- Semiclassical magnetotransport including the effects of the Berry curvature and Lorentz force