Su(n) Fractional Quantum Hall Effect in Topological Flat Bands

Date

2018-11-05

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Amer Physical Soc

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Abstract

We study N-component interacting particles (hardcore bosons and fermions) loaded in topological lattice models with SU(N)-invariant interactions based on exact diagonalization and density matrix renormalization group method. By tuning the interplay of interspecies and intraspecies interactions, we demonstrate that a class of SU(N) fractional quantum Hall states can emerge at fractional filling factors ν = N/(N + 1) for bosons [ν = N/(2N + 1) for fermions] in the lowest Chern band, characterized by the nontrivial fractional Hall responses and the fractional charge pumping. Moreover, we establish a topological characterization based on the K matrix and discuss the close relationship to the fractional quantum Hall physics in topological flat bands with Chern number N.

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Keywords

Nuclear spin, Graphene, Nuclear excitation, Bosons, Fermions, Unitary groups, Quantum Hall effect

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©2018 American Physical Society. All Rights Reserved.

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