Analytical and numerical methods for topological orders emerging from multiple fermion species

• Main Author: Fong, Wan Hang
• Other Authors: Yang Bo
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2024
• Subjects: Physics; Fractional quantum hall effect; Local exclusion conditions; Non-local exclusion conditions; Multicomponent; Multilayer systems; Low-dimensional system; Strongly correlated system; Topological order; Entanglement spectrum; Haldane pseudopotential
• Online Access: https://hdl.handle.net/10356/175656
• Institution: Nanyang Technological University

Since the discovery of the fractional quantum Hall effect in 1982, a number of formalisms have been proposed to construct the topological phases. However, it is difficult to see if these constructions lead to the same fractional quantum Hall states. Characterizing and labeling the orders in these st...