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Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01ff365861x
Title: Geometric Criteria for Fractional Chern Insulators
Authors: Mohammadi, Amir Shapour
Advisors: Yazdani, Ali
Haldane, Duncan
Department: Physics
Class Year: 2024
Abstract: Fractional Chern insulators (FCI) realize the physics of the fractional quantum Hall effect (FQHE) in a lattice model and the absence of a magnetic field. The FQHE manifests in Landau levels, topological flat bands with remarkably simple band geometry. Mimicking the band topology alone in the lattice requires intrinsically breaking time-reversal symmetry and guarantees the lattice-analogue of the integer quantum Hall effect known as the Chern insulator, a single-particle effect. The FQHE is a many-body effect which requires flat, topological bands and has been theorized to require so-called ideal band geometry. We will explore the role of band geometry in the manifestation of FCI phases through numerical simulations, and discuss recent issues with geometry-dependent criteria.
URI: http://arks.princeton.edu/ark:/88435/dsp01ff365861x
Type of Material: Princeton University Senior Theses
Language: en
Appears in Collections:Physics, 1936-2024

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