Tomonaga-Luttinger liquid and localization in Weyl semimetals

Abstract

We study both noncentrosymmetric and time-reversal breaking Weyl semimetal systems under a strong magnetic field with the Coulomb interaction. The three-dimensional bulk system is reduced to many mutually interacting quasi-one-dimensional wires. Each strongly correlated wire can be approached within the Tomonaga-Luttinger liquid formalism. Including impurity scatterings, we inspect the localization effect and the temperature dependence of the electrical resistivity. The effect of a large number of Weyl points in real materials is also discussed.

6-page main & supplementary

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• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Field-induced multiple metal-insulator crossovers of correlated Dirac electrons of perovskite CaIrO${}_3$
• Coulomb interaction driven instabilities of sliding Luttinger liquids
• Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals