Isolated flat bands in an interlocking-circles lattice

Abstract

Flat-band physics has attracted much attention in recently years because of its interesting properties and important applications. Some typical lattices have been proposed to generate flat bands, such as Kagome and Lieb lattices. The flat bands in these lattices contact with other bands rather than isolated. However, an ideal flat band should be isolated, because isolation is a prerequisite for a number of important applications. Here, we propose a new lattice that can produce isolated flat bands. The lattice is named as interlocking-circles lattice because its pattern seems like interlocking circles. Moreover, the new lattice is realized in graphene by hydrogenation. In the hydrogenated graphene, there are two nontrivial isolated flat bands appearing around the Fermi level. Upon hole or electron doping, the flat bands split into spin-polarized bands and then result in a ferromagnetic graphene. Our work not only proposes a new type of lattice but also opens a way to find systems with isolated flat bands.

References in corpus (19)

• Control of graphene's properties by reversible hydrogenation
• Graphane: a two-dimensional hydrocarbon
• Observation of bound states in Lieb photonic lattices
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Bose condensation in flat bands
• Strain-induced partially flat band, helical snake states, and interface superconductivity in topological crystalline insulators
• Evidence of Flat Bands and Correlated States in Buckled Graphene Superlattices
• Non-topological Origin of the Planar Hall Effect in Type-II Dirac Semimetal NiTe2
• Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points
• Novel magnetic orderings in the kagome Kondo-lattice model
• Peierls-type Instability and Tunable Band Gap in Functionalized Graphene
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Interaction-induced topological properties of two bosons in flat-band systems
• Flat band in two-dimensional non-Hermitian optical lattices
• Flat Bands near Fermi Level of Topological Line Defects on Graphite
• Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
• Lithium intercalation in MoS${}_2$ bilayers and implications for moiré flat bands
• Isolated Flat Bands and Physics of Mixed Dimensions in a 2D Covalent Organic Framework
• Persistence of the flat band in a kagome magnet with dipolar interactions