Correlation effects in double-Weyl semimetals

Abstract

We study the long-range Coulomb interaction effects on the double-Weyl fermion system which is possibly realized in the three dimensional semimetal HgCr${}_2$Se${}_4$ in the ferromagnetic phase. Within the one-loop renormalization group analysis, we find that there exists a stable fixed point at which the Coulomb interaction is screened anisotropically. At the stable fixed point, the renormalized Coulomb interaction induces logarithmic corrections to the physical quantities such as specific heat, compressibility, diamagnetic susceptibility, and the finite frequency (dynamic) conductivity that are obtained utilizing RG equations near the stable fixed point.

10 pages; 2 figures

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Cited by in corpus (6)

• Correlation Length, Universality Classes, and Scaling Laws Associated with Topological Phase Transitions
• Density wave instabilities and surface state evolution in interacting Weyl semimetals
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• RKKY interaction of magnetic impurities in multi-Weyl semimetals
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• Magnetic phases and unusual topological electronic structures of Weyl semimetals in strong interaction limit