2016/04/30 by Tetsuyuki Ochiai
Mathematics · Physics and Astronomy · #Brillouin zone #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Floquet theory #Gapless playback #Lattice (music) #Mathematics #Optical lattice #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Random lasers and scattering media #Semimetal #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #Weyl semimetal #cond-mat.mes-hall #physics.optics
paper · pdf · doi:10.1088/0953-8984/28/42/425501
published as J. Phys.: Condens. Matter 28, 425501 (2016) · added some explanations and references
openalex publication_date 2016/09/02 · arxiv created 2016/09/06 · arxiv updated 2016/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show the presence of Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice. The Weyl points in the three-dimensional Brillouin zone and Fermi-arc surface states are clearly demonstrated in the quasienergy spectrum of the system in the Floquet-Weyl phase. In addition, chiral surface states coexist in this phase. The Floquet-topological-insulator phase is characterized by the winding number of two in the reflection matrices of the semi-infinite system and resulting two gapless surface states in the quasienergy gap of the bulk. The phase diagram of the system is derived in the two-parameter space of hopping S-matrices among the rings. We also discuss a possible optical realization of the system together with the introduction of synthetic gauge fields.