Fractional Chern insulator on a triangular lattice

Stefanos Kourtis

IFW Dresden, Institute for Theoretical Solid-State Physics, Dresden, Germany

It has been recently demonstrated that electronic orbital degrees of freedom can lead to the magnetic texture and nearly flat bands needed for a quantum Hall state on a lattice [1]. The relevant properties can be mapped to an effective single-orbital model with complex hoppings reflecting the magnetic texture [2]. We use exact diagonalization to study such an effective model on the triangular lattice, including the effect of short-range Coulomb interactions. We show that for a variety of filling fractions the ground state exhibits all the properties related to a fractional Chern insulator, such as spectral flow, quantized Hall conductivity and fractional quasiparticle statistics. We furthermore show that these features are robust against disorder.

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