Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
arXiv:1111.7309 · doi:10.1103/PhysRevLett.108.266802
Abstract
We perform a complete classification of two-band $\bk\cdot\mathbf{p}$ theories at band crossing points in 3D semimetals with -fold rotation symmetry and broken time-reversal symmetry. Using this classification, we show the existence of new 3D topological semimetals characterized by -protected double-Weyl nodes with quadratic in-plane (along ) dispersion or -protected triple-Weyl nodes with cubic in-plane dispersion. We apply this theory to the 3D ferromagnet HgCrSe and confirm it is a double-Weyl metal protected by symmetry. Furthermore, if the direction of the ferromagnetism is shifted away from the [001]- to the [111]-axis, the double-Weyl node splits into four single Weyl nodes, as dictated by the point group of that phase. Finally, we discuss experimentally relevant effects including splitting of multi-Weyl nodes by applying breaking strain and the surface Fermi arcs in these new semimetals.
4+ pages, 2 figures, 1 table
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- Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
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- Tunable two-dimensional Dirac-Weyl semimetal phase induced by altermagnetism
- Emergence of topological phases from the extension of two-dimensional lattice with nonsymmorphic symmetries
- Signature of nodal topology in nonlinear quantum transport across junctions in Weyl and multi-Weyl semimetals
- Emergence of Spinon Fermi Arcs in the Weyl-Mott Metal-Insulator Transition
- Irreducible momentum-space spin structure of Weyl semimetals and its signatures in Friedel oscillations
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- Representation Theory for Massless Quasiparticles in Bogoliubov-de Gennes Systems
- Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
- Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
- Correlated interaction effects in three-dimensional semi-Dirac semimetal
- Topological charge distributions of an interacting two-spin system
- Symmetry-enforced Fermi degeneracy in topological semimetal RhSb
- Temperature dependence of quantum oscillations from non-parabolic dispersions
- Correlated second-order Dirac semimetals with Coulomb interactions
- Multi-Dirac and Weyl physics in heavy-fermion systems
- Anomalous magnetic transport and extra quantum oscillation in semi-metallic photon-like fermion gas
- Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
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- Nature of Andreev bound states in Josephson junctions of triple-point semimetals
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- Two-dimensional hourglass Weyl nodal loop in monolayer Pb(ClO) and Sr(ClO)
- Axionic quantum criticality of generalized Weyl semimetals
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- Linear differential equation approach to the Loschmidt amplitude
- Semiclassical perspective on Landau levels and Hall conductivity in an anisotropic Cubic Dirac Semi-Metal and the peculiar case of star-shaped classical orbits
- Glide-resolved photoemission spectroscopy: Measuring topological invariants in nonsymmorphic space groups
- Crystalline symmetry-protected non-trivial topology in prototype compound BaAl
- Flat Topological Nodal Lines in Heavy-Fermion Compound CeCoGe
- Synthetic Weyl points in generalized parameter space and their topological properties
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- Topological properties of domain walls in antiferromagnetic topological insulators
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- Ferroelectrically Controlled Chirality Switching of Weyl Quasiparticles
- Exact solutions of Kondo problems in higher-order fermions
- Diffusive density response of electrons in anisotropic multiband systems
- Superconductivity in multi-Weyl semimetals: Conditions for the coexistence of topological and conventional phases
- Angular momentum-dependent topological transport and its experimental realization using a transmission line network
- Beyond spin-1/2: Multipolar spin-orbit coupling in noncentrosymmetric crystals with time-reversal symmetry