Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points
arXiv:1804.00844 · doi:10.1088/1367-2630/aaf11d
Abstract
Similar to Weyl fermions, a recently discovered topological fermion "triple point" can be generated from the splitting of Dirac fermion while the system has inversion symmetry (IS) breaking or time reversal symmetry (TRS) breaking. Inducing triple points in IS breaking symmorphic systems have been well studied, whereas in TRS breaking symmorphic systems have not yet. In this work, we extend the theory of searching triple points to all symmorphic magnetic systems. We list all paths of all symmorphic systems which allow the existence of triple points. With this systematic study, we also find out that the coexistence of Dirac points and triple points is symmetrically allowed in some particular symmetric systems. Our works will not only be helpful for searching triple points but also extend the knowledge of such a new topological fermion.
References in corpus (38)
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Type-II Weyl Semimetals
- Topological invariants of time-reversal-invariant band structures
- Topological Crystalline Insulators
- Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
- Experimental discovery of Weyl semimetal TaAs
- Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
- AFLOW: An automatic framework for high-throughput materials discovery
- Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
- Topological Crystalline Insulators in the SnTe Material Class
- Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
- 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
- Dirac Semimetals in Two Dimensions
- The space group classification of topological band insulators
- Topological classification of crystalline insulators through band structure combinatorics
- Experimental Observation of Three-Component 'New Fermions' in Topological Semimetal MoP
- Large-Gap Two-Dimensional Topological Insulator in Oxygen Functionalized MXene
- Triple Point Topological Metals
- Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
- Experimental evidence of type-II Dirac fermions in PtSe2
- Co-existence of Weyl Fermion and Massless Triply Degenerate Nodal Points
- Quantum Hall states observed in thin films of Dirac semimetal Cd3As2
- Dirac nodal lines and induced spin Hall effect in metallic rutile oxides
- New fermions on the line in topological symmorphic metals
- Nexus and Dirac lines in topological materials
- Topological Phases in InAsSb: From Novel Topological Semimetal to Majorana Wire
- Hybrid Dirac Semimetal in CaAgBi Materials Family
- Triple point fermions in a minimal symmorphic model
- Spin texture on the Fermi surface of tensile strained HgTe
- Coexistence of New Fermions in Topological Semimetal TaS
- Model Hamiltonian and Time Reversal Breaking Topological Phases of Anti-ferromagnetic Half-Heusler Materials
- Imaging electronic states on topological semimetals using scanning tunneling microscopy
- Axial anomaly in multi-Weyl and triple-point semimetals
- The quantum anomalous Hall effect