Interaction-induced phase transitions of type-II Weyl semimetals

Abstract

The study of Weyl semimetals (WSMs) lies at the forefront of the nontrivial topological phenomena in condensed-matter physics. In this work, we study the effect of on-site repulsive Hubbard interaction on the WSM system with a nonzero tilt at half filling. Within the Hartree-Fock mean-field approximation, we treat the Hubbard interaction self-consistently and find that the Fock exchange field vanishes, while the Hartree field can renormalize the topological mass, the tilt, and the Fermi velocity of the Weyl cones. When the renormalized tilt is larger than the renormalized Fermi velocity, the Hubbard interaction will induce the quantum phase transition from a type-I WSM to a type-II WSM. We then provide the interaction-induced phase diagrams of WSMs in different parametric spaces, in which the antiferromagnetic order at strong interaction is also considered. In addition, we analyze another model hosting two pairs of Weyl nodes, and similar results are obtained. The implications of these results are discussed.

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Cited by in corpus (7)

• Disorder and magnetoconductivity in tilted Weyl semimetals
• Disorder and magnetic transport in tilted Weyl semimetals
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields
• Spin susceptibilities in magnetic type-I and type-II Weyl semimetals
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields