Floquet composite Dirac semimetals

Abstract

Dirac semimetals can be classified into types I, II, and III based on the topological charge of their Dirac points. If a three-dimensional (3D) system can be sliced into a family of kz-dependent normal and topological insulators, type I Dirac points separate a 2D normal insulator from a 2D first-order topological insulator, while type II (III) Dirac points separate a 2D normal (first-order) insulator from a 2D second-order topological insulator. To investigate the effects arising from the interplay of distinct Dirac points, one may wonder whether these Dirac points can coexist in a single system. Here, we propose a scheme to induce composite Dirac semimetals by a special Floquet driving that preserves time-reversal and space-inversion symmetries. A general description is established to characterize Dirac semimetals in Floquet systems. The results show that Dirac semimetals hosting coexisting type I, II, and III Dirac points can be induced by delta-function or harmonic driving. Our results provide a promising new avenue for exploring novel Dirac semimetals.

6 pages and 5 figures

References in corpus (30)

• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Effective Theory of Floquet Topological Transitions
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Higher-Order Weyl Semimetals
• Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd3As2
• Observation of non-Abelian topological semimetals and their phase transitions
• Boundary criticality of $PT$-invariant topology and second-order nodal-line semimetals
• Higher-order Dirac sonic crystals
• Topological zero modes and Dirac points protected by spatial symmetry and chiral symmetry
• Bicircular light tuning of magnetic symmetry and topology in Dirac semimetal Cd${}_3$As${}_2$
• Square-root higher-order Weyl semimetals
• Observation of pi/2 modes in an acoustic Floquet system
• Floquet Semimetal with Floquet-band Holonomy
• Tuning anomalous Floquet topological bands with ultracold atoms
• Floquet engineering of black phosphorus upon below-gap pumping
• Observation of Fermi arcs and Weyl nodes in a non-centrosymmetric magnetic Weyl semimetal
• Large Diamagnetism and Electromagnetic Duality in Two-dimensional Dirac Electron System
• Quasicrystalline second-order topological semimetals
• Realizing exceptional points by Floquet dissipative couplings in thermal atoms
• Giant magnetoresistance, Fermi surface topology, Shoenberg effect and vanishing quantum oscillations in type-II Dirac semimetal candidates MoSi${}_2$ and WSi${}_2$
• Hybrid-order topological odd-parity superconductors via Floquet engineering
• Controllable Weyl Nodes and Fermi Arcs from Floquet Engineering Triple Fermions
• Ultrafast Spectroscopy of Dirac Semimetal Cd3As2 under Pressure
• Engineering nonequilibrium steady states through Floquet Liouvillians
• Non-trivial phonon dynamics and significant electron-phonon coupling of the high frequency modes in a Dirac semimetal
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Generic reduction theory for Fermi sea topology in metallic systems
• Cubic Dirac Semimetals: General Theory and Application to Rare-Earth Magnets