Encyclopedia of emergent particles in three-dimensional crystals
arXiv:2102.01517 · doi:10.1016/j.scib.2021.10.023
Abstract
The past decade has witnessed a surge of interest in exploring emergent particles in condensed matter systems. Novel particles, emerged as excitations around exotic band degeneracy points, continue to be reported in real materials and artificially engineered systems, but so far, we do not have a complete picture on all possible types of particles that can be achieved. Here, via systematic symmetry analysis and modeling, we accomplish a complete list of all possible particles in time reversal-invariant systems. This includes both spinful particles such as electron quasiparticles in solids, and spinless particles such as phonons or even excitations in electric-circuit and mechanical networks. We establish detailed correspondence between the particle, the symmetry condition, the effective model, and the topological character. This obtained encyclopedia concludes the search for novel emergent particles and provides concrete guidance to achieve them in physical systems.
arXiv comment5 pages for main text and 1228 pages for SM; comments are welcome, please contact Z. M. Yu, Y. Yao, or S. A. Yang
References in corpus (50)
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Classification of topological quantum matter with symmetries
- Type-II Weyl Semimetals
- Topological Materials: Weyl Semimetals
- Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
- Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
- 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
- Topological Boundary Modes in Isostatic Lattices
- Towards ideal topological materials: Comprehensive database searches using symmetry indicators
- Topological Node-Line Semimetal in Three Dimensional Graphene Networks
- Topological nodal line semimetals
- Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
- Nodal-chain metals
- Topological quantum properties of chiral crystals
- Double Dirac Semimetals in Three Dimensions
- Nodal surface semimetals: Theory and material realization
- Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
- Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
- Band Topology and Linking Structure of Nodal Line Semimetals with Z2 Monopole Charges
- Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
- Non-Abelian band topology in noninteracting metals
- Strong and Fragile Topological Dirac Semimetals with Higher-Order Fermi Arcs
- Dirac node lines in pure alkali earth metals
- Magnetic breakdown and Klein tunneling in a type-II Weyl semimetal
- Higher-order Weyl Semimetals
- Observation of non-Abelian topological semimetals and their phase transitions
- Hourglass Dirac Chain Metal in Rhenium Dioxide
- Quantum Transport in Topological Semimetals under Magnetic Fields
- Dirac and nodal line magnons in three-dimensional antiferromagnets
- Three-dimensional Pentagon Carbon with a genesis of emergent fermions
- Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry
- Projectively enriched symmetry and topology in acoustic crystals
- Symmetry-Enforced Weyl Phonons
- Higher-order Dirac fermions in three dimensions
- Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects
- -Orbital Topological Insulator and Semimetal in Antifluorite CuS Family: Contrasting Spin Helicities, Nodal Box, and Hybrid Surface States
- Nodal Line Spin-gapless Semimetals and High-quality Candidate Materials
- -projective translational symmetry protected topological phases
- Switching spinless and spinful topological phases with projective symmetry
- The gauge-field extended method and novel topological phases
- Six-fold Excitations in Electrides
- SpaceGroupIrep: A package for irreducible representations of space group
- Quantized Circulation of Anomalous Shift in Interface Reflection
- Phonon analogue of topological nodal semimetals
- Index theorem on chiral Landau bands for topological fermions