Berry curvature in Weyl semimetals leads to intriguing magnetoconductivity and magneto-thermal transport properties. Here, we explore the impact of the tilting of the Weyl nodes, on the magnetoconductivity of type-I and type-II Weyl semimetals using the Berry curvature connected Boltzmann transport formalism. We find that in addition to the quadratic magnetic field (B) corrections induced by the tilt, there are also anisotropic and B-linear corrections in several elements of the conductivity matrix. For the case of magnetic field applied perpendicular to the tilt direction, we show the existence of previously unexplored B-linear transverse conductivity components. For the other case of magnetic field applied parallel to the tilt axis, the B-linear corrections appear in the longitudinal conductivity giving rise to anisotropic magnetoresistance measurements. Our systematic analysis of the full magnetoconductivity matrix, predicts several specific experimental signatures related to the tilting of the Weyl nodes in both type-I and type-II Weyl semimetals. * kamaldas@iitk.ac.in †

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Berry curvature acts analogously to a magnetic field in the momentum-space, and it modifies the flow of charge carriers and entropy. This induces several intriguing magnetoelectric and magnetothermal transport phenomena in Weyl semimetals. Here, we explore the impact of the Berry curvature and orbital magnetization on the thermopower in tilted type-I and type-II Weyl semimetals, using semiclassical Boltzmann transport formalism. We analytically calculate the full magnetoconductivity matrix and use it to obtain the thermopower matrix for different orientations of the magnetic field (B), with respect to the tilt axis. We find that the tilt of the Weyl nodes induces linear magnetic field terms in the conductivity matrix, as well as in the thermopower matrix. The linear-B term appears in the Seebeck coefficients, when the B-field is applied along the tilt axis. Applying the magnetic field in a plane perpendicular to the tilt axis results in a quadratic-B planar Nernst effect, linear-B out-of-plane Nernst effect and quadratic-B correction in the Seebeck coefficient. arXiv:1903.01205v3 [cond-mat.mes-hall]

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Quantum anomalies in Weyl semimetal (for either E · B = 0 or ∇T · B = 0) leads to chiral charge and energy pumping between the opposite chirality nodes. This results in chiral charge and energy imbalance between the Weyl nodes which manifests in several intriguing magneto-transport phenomena. Here, we investigate the role of electrical-, thermal-, and gravitational chiral anomaly on magneto-transport in Weyl semimetals. We predict the planar Ettinghausen and Righi-Leduc effect to be a distinct signature of these quantum anomalies. We also demonstrate a significant enhancement in the thermo-electric conductivity, Seebeck effect, Nernst effect and thermal conductivity with increasing temperature. Interestingly, this anomaly induced transport violates the Wiedemann-Franz law and Mott relation.