Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties

Abstract

Topological Weyl semimetals have been attracting broad interest. Recently, a new type of Weyl point with topological charge of $4$, termed as charge-4 Weyl point (C-4 WP), was proposed in spinless systems. Here, we show the minimum symmetry requirement for C-4 WP is point group $T$ together with $\mathcal{T}$ symmetry or point group $O$. We establish a minimum tight-binding model for C-4 WP on a cubic lattice with time-reversal symmetry and without spin-orbit coupling effect. This lattice model is a two-band one, ontaining only one pair of C-4 WPs with opposite chirality around Fermi level. Based on both the low-energy effective Hamiltonian and the minimum lattice model, we investigate the electronic, optical and magnetic properties of C-4 WP. Several chirality-dependent properties are revealed, such as chiral Landau bands, quantized circular photogalvanic effect and quadruple-helicoid surface arc states. Furthermore, we predict that under symmetry breaking, various exotic topological phases can evolve out of C-4 WPs. Our work not only reveals several interesting phenomena associate to C-4 WPs, but also provides a simple and ideal lattice model of C-4 WP, which will be helpful for the subsequent study on C-4 WPs.

References in corpus (54)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Photonics
• Classification of topological quantum matter with symmetries
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Experimental discovery of Weyl semimetal TaAs
• Topological quantum chemistry
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• The (High Quality) Topological Materials In The World
• Topolectrical circuit realization of topological corner modes
• Topological Bands for Ultracold Atoms
• Catalogue of Topological Electronic Materials
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Towards ideal topological materials: Comprehensive database searches using symmetry indicators
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Quantized circular photogalvanic effect in Weyl semimetals
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Weyl points and line nodes in gapless gyroid photonic crystals
• Topological classification of crystalline insulators through band structure combinatorics
• Topological negative refraction of surface acoustic waves in a Weyl phononic crystal
• Experimental discovery of a topological Weyl semimetal state in TaP
• Chiral anomaly and transport in Weyl metals
• Topological Sound
• Nodal surface semimetals: Theory and material realization
• Double-Weyl phonons in transition-metal monosilicides
• Electronic properties of bilayer and multilayer graphene
• Triple Point Topological Metals
• Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
• Building Blocks of Topological Quantum Chemistry: Elementary Band Representations
• Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
• Topological semimetals with Riemann surface states
• Quantum Transport in Topological Semimetals under Magnetic Fields
• Topological phonons and Weyl lines in 3 dimensions
• Spin-Orbit Semimetals in the Layer Groups
• Dirac and nodal line magnons in three-dimensional antiferromagnets
• Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry
• Twofold quadruple Weyl nodes in chiral cubic crystals
• Ferromagnetic hybrid nodal loop and switchable type-I and type-II Weyl fermions in two-dimension
• Higher-order Dirac fermions in three dimensions
• Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects
• Exotic Multifractal Conductance Fluctuations in Graphene
• Circumventing the no-go theorem: A single Weyl point surrounded by nodal walls
• Six-fold Excitations in Electrides
• Magnetic higher-order nodal lines
• Quantized Circulation of Anomalous Shift in Interface Reflection
• Emergent Anisotropic Non-Fermi Liquid at a Topological Phase Transition in Three Dimensions
• Index theorem on chiral Landau bands for topological fermions
• Double Dirac Nodal Line Semimetal with Torus Surface State
• Topological quantum critical point in a triple-Weyl semimetal: non-Fermi-liquid behaviors and instabilities

Cited by in corpus (17)

• Systematic investigation of emergent particles in type-III magnetic space groups
• Discovery of a maximally charged Weyl point
• Hourglass Charge-Three Weyl Phonons
• Recipe for single-pair-Weyl-points phonons carrying the same chiral charges
• Triple hourglass Weyl phonons
• Realization of the Single-pair-Weyl Phonons with the Maximum Charge Number in Acoustic Crystals
• Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
• Observation of Single Pair of Type-III Weyl Points in Sonic Crystals
• Photogalvanic response in multi-Weyl semimetals
• Landau level spectrum and magneto-optical conductivity in tilted Weyl semimetal
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Bulk-Fermi-Arc Transition Induced Large Photogalvanic Effect in Weyl Semimetals
• Giant Chern number of a Weyl nodal surface without upper limit
• Topological charge Fano effect in multi-Weyl semimetals
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
• Unconventional Weyl exceptional contours in non-Hermitian photonic continua
• Semiclassical perspective on Landau levels and Hall conductivity in an anisotropic Cubic Dirac Semi-Metal and the peculiar case of star-shaped classical orbits