Magnetic phases and unusual topological electronic structures of Weyl semimetals in strong interaction limit

Abstract

The interplay of electronic band structures and electron-electron interactions is known to brew new phases in condensed matter. In this paper, we investigate thermodynamic phases and corresponding electronic structures of the Weyl semimetal in the strong onsite Coulomb interaction limit. Based on a minimum model of the Weyl semimetal with two linear Weyl nodes, it is shown that generically the Weyl semimetal becomes magnetic in the presence of interactions. In particular, it is shown that the Dzyaloshinskii-Moriya exchange interaction is generally induced so that the A-type antiferromagnetic (A-AFM) phase and the spiral spin density wave (SSDW) states are two generic phases. Furthermore, we find that Weyl nodes proliferate and it is possible to doubly enhance the unusual properties of non-interacting Weyl semimetals through the realization of double-Weyl nodes in strong correlation limit. Specifically, it is shown that in the SSDW phase, linear Weyl nodes are tuned into double-Weyl nodes with the corresponding charges being $\pm 2$. As the spin-orbit coupling increases, a quantum phase transition occurs with the SSDW phase being turned into an A-AFM phase and at the same time, double-Weyl nodes are disintegrated into two pairs of linear Weyl nodes. Our results reveal the unusual interplay between the topology of electronic structures and magnetism in strongly correlated phases of Weyl semimetals.

arXiv comment19 pages, 7 figure, to appear in Phys. Rev. B

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• On the nature of the magnetic phase transition in a Weyl semimetal
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Scaling of the chiral magnetic effect in quantum diffusive Weyl semimetals
• Manifestation of chiral magnetic current in Floquet-Weyl semimetals