Floquet Weyl phases in a three-dimensional network model

2015/12/31 by Hailong Wang, Longwen Zhou, Y. D. Chong +1 · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #Combinatorics #Connection (principal bundle) #Coupling (piping) #Fermi Gamma-ray Space Telescope #Floquet theory #Geometry #Graphene research and applications #Mathematics #Physics #Quantum many-body systems #Quantum mechanics #Surface (topology) #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #Unitary state #cond-mat.dis-nn #cond-mat.mes-hall #physics.optics

paper · pdf · doi:10.1103/physrevb.93.144114

published as Phys. Rev. B 93, 144114 (2016) · 11 pages, 7 figures

arxiv created 2016/02/24 · openalex publication_date 2016/04/14 · arxiv updated 2016/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the topological properties of three-dimensional (3D) Floquet band structures, which are defined using unitary evolution matrices rather than Hamiltonians. Previously, two-dimensional band structures of this sort have been shown to exhibit anomalous topological behaviors, such as topologically nontrivial zero-Chern-number phases. We show that the band structure of a 3D network model can exhibit Weyl phases, which feature ``Fermi arc'' surface states like those found in Weyl semimetals. Tuning the network's coupling parameters can induce transitions between Weyl phases and various topologically distinct gapped phases. We identify a connection between the topology of the gapped phases and the topology of Weyl point trajectories in k space. The model is feasible to realize in custom electromagnetic networks, where the Weyl point trajectories can be probed by scattering parameter measurements.

Citations

• Synthetic gauge flux and Weyl points in acoustic systems
• Photoinduced Transition between Conventional and Topological Insulators in Two-Dimensional Electronic Systems
• Homotopy and Quantization in Condensed Matter Physics
• Absence of neutrinos on a lattice
• Imaging topological edge states in silicon photonics
• Topological effects in chiral symmetric driven systems
• Absence of neutrinos on a lattice
• Topological Insulators
• Discovery of a Weyl fermion semimetal and topological Fermi arcs
• Percolation, quantum tunnelling and the integer Hall effect

Cited by

• Synthetic gauge field and pseudospin–orbit interaction in a stacked two-dimensional ring-network lattice
• Floquet–Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Type-II Weyl cone transitions in driven semimetals