Instability and topological robustness of Weyl semimetals against Coulomb interaction

Abstract

There is a close connection between various new phenomena in Weyl semimetals and the existence of linear band crossings in the single particle description. We show, by a full self-consistent mean-field calculation, how this picture is modified in the presence of long-range Coulomb interactions. The chiral symmetry breaking occurs at strong enough interactions and the internode interband excitonic pairing channel is found to be significant, which determines the gap-opened band profile varying with interaction strength. Remarkably, in the resultant interacting phase, finite band Chern number jumps in the three-dimensional momentum space are retained, indicating the robustness of the topologically nontrivial features.

arXiv comment8 pages, 4 figures, accepted by Phys. Rev. B

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• Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Functional renormalization group approach to interacting three-dimensional Weyl semimetals
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals
• Spin susceptibilities in magnetic type-I and type-II Weyl semimetals
• Axionic Instability of Periodic Weyl-Semimetal Superstructures