Edge Excitations in Fractional Chern Insulators

Abstract

Recent theoretical works have demonstrated the realization of fractional quantum anomalous Hall states (also called fractional Chern insulators) in topological flat band lattice models without an external magnetic field. Such newly proposed lattice systems play a vital role to obtain a large class of fractional topological phases. Here we report the exact numerical studies of edge excitations for such systems in a disk geometry loaded with hard-core bosons, which will serve as a more viable experimental probe for such topologically ordered states. We find convincing numerical evidence of a series of edge excitations characterized by the chiral Luttinger liquid theory for the bosonic fractional Chern insulators in both the honeycomb disk Haldane model and the kagomé-lattice disk model. We further verify these current-carrying chiral edge states by inserting a central flux to test their compressibility.

5 pages, 4 figures, 1 table, with Supplementary Material

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Cited by in corpus (13)

• Position-Momentum Duality and Fractional Quantum Hall Effect in Chern Insulators
• Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
• Perturbative Approach to Flat Chern Bands in the Hofstadter Model
• Recent Developments in Fractional Chern Insulators
• Topological nature of magnetization plateaus in periodically modulated quantum spin chains
• Chern Insulators on Singular Geometries
• Fractional Chern Insulators in Singular Geometries
• Wave Functions for Fractional Chern Insulators on Disk Geometry
• Hyperbolic Fractional Chern insulators
• Non-Abelian Fractional Chern Insulator in Disk Geometry
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements
• Chiral Edge Excitations of $\nu =1/2$ Fractional Chern Insulators in the Bosonic Hofstadter Model