$\pi$-fluxes, semi-metals and flat bands in artificial materials

Abstract

The possibility of engineering experimentally viable systems that realize gauge fluxes within plaquettes of hopping have been subject of search for decades due to vast amounts of theoretical study. This is of particular interest for topological band insulators, where it is known that such fluxes bind protected mid-gap states. These modes can hybridize in extended flux lattices, giving rise to semi-metallic bands that are highly tunable. We demonstrate that within artificial materials, local $\pi$-fluxes can be naturally realized. Consequently, we provide concrete set-ups to access this physics and analyze similar self-organized band structures and physical properties. Our work therefore does not only pinpoint simple systems exhibiting flat bands, but also opens up a route to study flux lattice models and associated effective theories in a novel scene.

arXiv comment7 pages

References in corpus (43)

• Topological Insulators
• Topological insulators and superconductors
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Topological Crystalline Insulators
• Artificial gauge potentials for neutral atoms
• Scheme to Achieve Silicon Topological Photonics
• Topological quantum chemistry
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Zoo of quantum-topological phases of matter
• Symmetry protection of topological order in one-dimensional quantum spin systems
• A topological quantum optics interface
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• The space group classification of topological band insulators
• Topological classification of crystalline insulators through band structure combinatorics
• Topological protection of photonic mid-gap cavity modes
• Visualization of unidirectional optical waveguide using topological photonic crystals made of dielectric material
• Electron fractionalization in two-dimensional graphenelike structures
• Helical Metal Inside a Topological Band Insulator
• Crystalline metamaterials for topological properties at subwavelength scales
• Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
• Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
• Universal probes of two-dimensional topological insulators: Dislocation and pi-flux
• Interplay between electronic topology and crystal symmetry: Dislocation-line modes in topological band-insulators
• Helical edge states and topological phase transitions in phononic systems using bi-layered lattices
• Spin-charge Separated Solitons in a Topological Band Insulator
• Unified bulk-boundary correspondence for band insulators
• Spin Charge Separation in the Quantum Spin Hall State
• Topological Properties of Electrons in Honeycomb Lattice with Kekulé Hopping Textures
• The translational side of topological band insulators
• Experimental demonstration of topological waveguiding in elastic plates with local resonators
• Mirror winding number and helical edge modes in honeycomb lattice with hopping-energy texture
• Topological Bloch oscillations
• Dissolution of topological Fermi arcs in a dirty Weyl semimetal
• Fractionalization in a square-lattice model with time-reversal symmetry
• Weak topological insulator with protected gapless helical states
• Anyons in a weakly interacting system
• Floquet engineering of optical solenoids and quantized charge pumping along tailored paths in two-dimensional Chern insulators
• Self-organized pseudo-graphene on grain boundaries in topological band insulators
• Zero-energy states bound to a magnetic pi-flux vortex in a two-dimensional topological insulator
• Multiple Weyl and Double-Weyl Points in an Elastic Chiral Lattice
• Topological Aspect of Graphene Patchwork with Regular Arrays of Nano Holes
• Topological Mid-gap States of Topological Insulators with Flux-Superlattice

Cited by in corpus (8)

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• Second Euler number in four dimensional synthetic matter
• Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators
• Selective branching, quenching, and converting of topological modes
• Single $\pi$-flux hosting topological defect modes in bilayer acoustic metamaterials