Anomalous Hall transport in tilted multi-Weyl semimetals

Area of Science:

• Condensed Matter Physics
• Topological Materials Science

Background:

• Multinode Weyl semimetals (mWSMs) exhibit unique electronic properties due to multiple Weyl nodes.
• Type-I and type-II mWSMs differ in their low-energy excitation dispersion and Weyl point characteristics.
• The effect of perpendicular magnetic fields on mWSMs, particularly concerning Landau levels and Fermi surfaces, is an active area of research.

Purpose of the Study:

• To investigate the impact of a perpendicular magnetic field on multinode Weyl semimetals (mWSMs) with arbitrary monopole charge.
• To generalize the calculation of Hall conductivity for both type-I and type-II mWSMs under magnetic fields.
• To analyze the thermal Hall and Nernst conductivities in these materials.

Main Methods:

• Theoretical analysis of mWSMs in a perpendicular magnetic field.
• Application of the Kubo formula to calculate DC Hall conductivity.
• Investigation of Fermi surface corrections and Landau level quantization.
• Derivation of expressions for type-I and type-II mWSM Hall conductivity.

Main Results:

• A perpendicular magnetic field quantizes occupation pockets, forming Fermi tubes and a discrete set of Landau levels.
• Generalization of Hall conductivity formulas for type-I mWSMs, including Fermi surface corrections.
• Derivation of Hall conductivity for type-II mWSMs, incorporating a Landau level cutoff.
• Observation of vanishing anomalous vacuum Hall conductivity in type-II mWSMs across all temperatures.
• Evaluation of thermal Hall and Nernst conductivities for both mWSM types.

Conclusions:

• The study provides a theoretical framework for understanding magnetic field effects in generic mWSMs.
• The findings offer insights into the distinct behaviors of type-I and type-II mWSMs under magnetic fields.
• The derived conductivities can aid in the experimental characterization of multinode Weyl semimetals.