Microscopic theory of magnetoconductivity at low magnetic fields in terms of Berry curvature and orbital magnetic moment
arXiv:2006.15882 · doi:10.1103/PhysRevResearch.3.033076
Abstract
Using a microscopic theory for the magnetoconductivity at low magnetic fields we show how the Hall and longitudinal conductivity can be calculated in the low scattering rate limit. In the lowest order of the scattering rate, we recover the result of the semiclassical Boltzmann transport theory. At higher order, we get corrections containing the Berry curvature and the orbital magnetic moment. We use this formalism to study the linear longitudinal magnetoconductivity in tilted Weyl semimetals. We discuss how our result is related to the semiclassical Boltzmann approach and show the differences that arise compared to previous studies related to the orbital magnetic moment.
References in corpus (8)
- Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
- Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
- Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
- Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
- Anomalous Orbital Magnetism and Hall Effect of Massless Fermions in Two Dimension
- Orbital magnetism of coupled bands models
- Linear magnetochiral effect in Weyl semimetals
- Relation between Zitterbewegung and the charge conductivity, Berry curvature and the Chern number of multi band systems
Cited by in corpus (10)
- Thermoelectric response in nodal-point semimetals
- Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
- Massless multifold Hopf semimetals
- Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
- Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
- Anomalous Spin Transport Properties of Gapped Dirac Electrons with Tilting
- Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
- Quantum--classical correspondence and dissipative to dissipationless crossover in magnetotransport phenomena
- Linear magneto-conductivity as a DC probe of time-reversal symmetry breaking
- Impact of multiband effects on non-Fermi-liquid transport phenomena in bilayer nickelates