Exotic Fractional Topological States in Two-Dimensional Organometallic Material

Abstract

Fractional Chern insulators (FCIs), having properties similar to those of the fractional quantum Hall effect, have been established numerically in various toy models. To fully explore their fundamental physics and to develop practical applications, material realization is indispensable. Here we theoretically predict a realization of FCI in a two-dimensional organometallic material, which is known to have the prerequisite topological at bands. Using numerical exact diagonalization we demonstrate that the presence of strong electronic correlations and fractional filling of such a system could lead to a rich phase diagram, including Abelian fractional quantum Hall (FQH), Fermi-liquid, and Wigner crystal states. In particular, the FQH state has been confirmed systematically by calculating the topological ground-state degeneracies, topological Chern number, and the quasihole excitation spectrum as well as the particle entanglement spectrum. Future experimental realization of the FQH state in such material may provide a route for developing practical applications of FCI with no need of the extreme conditions.

6 pages, 4 figures

References in corpus (11)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Flat Chern Band in a Two-Dimensional Organometallic Framework
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Cited by in corpus (8)

• Colloquium: Topological Band Theory
• Exotic electronic states in the world of flat bands: from theory to material
• Recent Developments in Fractional Chern Insulators
• Wigner crystallization in topological flat bands
• Interaction driven quantum phase transition in fractional quantum spin Hall effects
• Fractional Quantum Hall States of Dipolar Gases in Chern Bands
• Pairing symmetry in monolayer of orthorhombic CoSb
• Interaction-driven transition between the Wigner crystal and the fractional Chern insulator in topological flat bands