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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 |
Files in This Item:
File | Description | Size | Format | |
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MOHAMMADI-AMIRSHAPOUR-THESIS.pdf | 5.52 MB | Adobe PDF | Request a copy |
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