Correlated double-Weyl semimetals with Coulomb interactions: possible applications to HgCr2Se4 and SrSi2

Abstract

We study the fate of double-Weyl fermions in three-dimensional systems in the presence of long-range Coulomb interactions. By employing the momentum-shell renormalization group approach, we find that the fixed point of noninteracting double-Weyl fermions is unstable against Coulomb interactions and flows to a nontrivial stable fixed point with anisotropic screening effect. Moreover, experimentally measurable quantities such as specific heat obtain unusual logarithmic corrections. We also discuss implications of our results to three-dimensional materials HgCr2Se4 and SrSi2, candidate materials of hosting double-Weyl fermions.

11.1 pages, 4 figures, published version in Physical Review B

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Cited by in corpus (61)

• A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
• Long-range Coulomb interaction in nodal-ring semimetals
• Interacting Weyl fermions: Phases, phase transitions and global phase diagram
• Twofold quadruple Weyl nodes in chiral cubic crystals
• Topological Semimetal Nanostructures: From Properties to Topotronics
• Predicted Realization of Cubic Dirac Fermion in Quasi-One-Dimensional Transition-Metal MonoChalcogenides
• Theory of photoinduced Floquet Weyl semimetal phases
• Optical conductivity of multi-Weyl semimetals
• Thermoelectric transport in double-Weyl semimetals
• Topological responses from chiral anomaly in multi-Weyl semimetals
• 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
• Topological charges of three-dimensional Dirac semimetals with rotation symmetry
• Tunable double-Weyl Fermion semimetal state in the SrSi${}_2$ materials class
• Floquet multi-Weyl points in crossing-nodal-line semimetals
• Universality classes of topological phase transitions with higher-order band crossing
• Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations
• Rarita-Schwinger-Weyl semimetal in Jeff=3/2 electron systems
• Density wave instabilities and surface state evolution in interacting Weyl semimetals
• Symmorphic intersecting nodal rings in semiconducting layers
• Weyl phonons in chiral crystals
• Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
• Fermion-induced quantum critical points in three-dimensional Weyl semimetals
• Doping and tilting on optics in noncentrosymmetric multi-Weyl semimetals
• New quantum critical points of $j=3/2$ Dirac electrons in antiperovskite topological crystalline insulators
• Collective modes in multi-Weyl semimetals
• Emergent Anisotropic Non-Fermi Liquid at a Topological Phase Transition in Three Dimensions
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Coulomb instabilities of 3D higher-order topological insulators
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Electron Transport in Dirac and Weyl Semimetals
• Magneto-optical conductivity of double Weyl semimetals
• Chiral magnetic effect in the absence of Weyl node
• Axial anomaly in multi-Weyl and triple-point semimetals
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Topological quantum critical point in a triple-Weyl semimetal: non-Fermi-liquid behaviors and instabilities
• Correlated triple-Weyl semimetals with Coulomb interactions
• Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
• RKKY interaction of magnetic impurities in multi-Weyl semimetals
• Weyl nodal point-line Fermion in ferromagnetic Eu${}_5$Bi${}_3$
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Superconductivity in two-dimensional disordered Dirac semimetals
• Quantum criticality preempted by nematicity
• 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
• Efimov Effect in the Dirac Semi-metals
• 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
• Electronic Origin of Half-metal to Semiconductor Transition and Colossal Magnetoresistance in Spinel HgCr2Se4
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Merging of momentum-space monopoles by controlling magnetic field: From cubic-Dirac to triple-Weyl fermion systems
• Correlated interaction effects in three-dimensional semi-Dirac semimetal
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Chiral Magnetic Effect due to Inhomogeneous Magnetic Fields in Noncentrosymmetric Weyl Semimetals
• Correlated second-order Dirac semimetals with Coulomb interactions
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Transitions from Composite Fermi Liquid to Moore-Read States in Weyl Semimetals
• Anisotropic marginal Fermi liquid for Coulomb interacting generalized Weyl fermions
• Superconductivity in multi-Weyl semimetals: Conditions for the coexistence of topological and conventional phases