Linear magneto-chiral transport in tilted type-I and type-II Weyl Semimetals

Abstract

Berry curvature in Weyl semimetals results in very intriguing magneto-electric and magneto-thermal transport properties. In this paper, we explore the impact of the tilting of the Weyl nodes, which breaks the time-reversal symmetry, on the magneto-electric conductivity of type-I and type-II Weyl semimetals. Using the Berry curvature connected Boltzmann transport formalism, we find that in addition to the quadratic-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 finite 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 and will result in asymmetric lineshape in the magneto-resistence measurements. Unlike the quadratic-B corrections, these linear corrections are independent of the chemical potential, and are sensitive to the direction of the tilt axis and the applied magnetic field. Our systematic analysis of the full magneto-electric conductivity matrix, predicts several specific experimental signatures related to the tilting of the Weyl nodes in both type-I and type-II Weyl semimetals.

Revised version to appear in Phys. Rev. B. Includes a discussion of magneto-conductivity arising from inter- as well as intra- node scattering (thanks to the referee)

References in corpus (15)

• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Topological response in Weyl semimetals and the chiral anomaly
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Anomalous Hall Effect in Weyl Metals
• Semiclassical theories of the anomalous Hall effect
• Thermoelectric properties of Weyl and Dirac semimetals
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Onsager Relations in Coupled Electric, Thermoelectric and Spin Transport: The Ten-Fold Way
• Anomalous Nernst and Thermal Hall Effects in Tilted Weyl Semimetals
• Carrier screening, transport, and relaxation in 3D Dirac semimetals
• Quantum Kinetic Theory of the Chiral Anomaly
• Linear magnetochiral effect in Weyl semimetals
• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• The semiclassical theory of anomalous transport in type-II topological Weyl semimetals
• Anomalous Nernst effect in type-II Weyl semimetals

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