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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• Thermoelectric transport in double-Weyl semimetals
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• Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
• Correlation Length, Universality Classes, and Scaling Laws Associated with Topological Phase Transitions
• Correlated double-Weyl semimetals with Coulomb interactions: possible applications to HgCr2Se4 and SrSi2
• Topological charges of three-dimensional Dirac semimetals with rotation symmetry
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• Density wave instabilities and surface state evolution in interacting Weyl semimetals
• Symmorphic intersecting nodal rings in semiconducting layers
• Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
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• New quantum critical points of $j=3/2$ Dirac electrons in antiperovskite topological crystalline insulators
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Emergent Anisotropic Non-Fermi Liquid at a Topological Phase Transition in Three Dimensions
• Collective modes in multi-Weyl semimetals
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Coulomb instabilities of 3D higher-order topological insulators
• Magneto-optical conductivity of double Weyl semimetals
• Electron Transport in Dirac and Weyl Semimetals
• Chiral magnetic effect in the absence of Weyl node
• Topological quantum critical point in a triple-Weyl semimetal: non-Fermi-liquid behaviors and instabilities
• Correlated triple-Weyl semimetals with Coulomb interactions
• RKKY interaction of magnetic impurities in multi-Weyl semimetals
• Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Quantum criticality preempted by nematicity
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• Superconductivity in two-dimensional disordered Dirac semimetals
• Magnetic phases and unusual topological electronic structures of Weyl semimetals in strong interaction limit
• Antiferromagnetic transitions of Dirac fermions in three dimensions
• Fermionic criticality of anisotropic nodal point semimetals away from the upper critical dimension: exact $1/N_f$ exponents
• Long-range Coulomb Interaction effects on Topological Phase Transitions between Semi-metals and Insulators
• Quantum Criticality of Excitonic Insulating Transition in Nodal Line Semimetal ZrSiS
• Many-body effects in nodal-line semimetals: correction to the optical conductivity
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Electronic Origin of Half-metal to Semiconductor Transition and Colossal Magnetoresistance in Spinel HgCr2Se4
• Correlated interaction effects in three-dimensional semi-Dirac semimetal
• Spin susceptibilities in magnetic type-I and type-II Weyl semimetals
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Correlated second-order Dirac semimetals with Coulomb interactions
• Anisotropic marginal Fermi liquid for Coulomb interacting generalized Weyl fermions
• Superconductivity in multi-Weyl semimetals: Conditions for the coexistence of topological and conventional phases