Optimizing superlattice bilayer graphene for a fractional Chern insulator

Fuente: arXiv
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Autori principali: Ault-McCoy, Dathan, Lhachemi, M. Nabil Y., Dunbrack, Aaron, Ghorashi, Sayed Ali Akbar, Cano, Jennifer
Natura: Preprint
Pubblicazione: 2025
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author Ault-McCoy, Dathan
Lhachemi, M. Nabil Y.
Dunbrack, Aaron
Ghorashi, Sayed Ali Akbar
Cano, Jennifer
author_facet Ault-McCoy, Dathan
Lhachemi, M. Nabil Y.
Dunbrack, Aaron
Ghorashi, Sayed Ali Akbar
Cano, Jennifer
contents Bernal-stacked bilayer graphene modulated by a superlattice potential is a highly tunable system predicted to realize isolated topological flat bands. In this work we calculate the band structure and quantum geometry of bilayer graphene subject to both triangular and square superlattices, across a wide range of gate voltages. We identify the parameter regime that optimizes the "single-particle indicators" for the stability of a fractional Chern insulator (FCI) when a topological flat band is partially filled. Our results guide the experimental realization of an FCI in this platform.
format Preprint
id arxiv_https___arxiv_org_abs_2505_05551
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimizing superlattice bilayer graphene for a fractional Chern insulator
Ault-McCoy, Dathan
Lhachemi, M. Nabil Y.
Dunbrack, Aaron
Ghorashi, Sayed Ali Akbar
Cano, Jennifer
Mesoscale and Nanoscale Physics
Bernal-stacked bilayer graphene modulated by a superlattice potential is a highly tunable system predicted to realize isolated topological flat bands. In this work we calculate the band structure and quantum geometry of bilayer graphene subject to both triangular and square superlattices, across a wide range of gate voltages. We identify the parameter regime that optimizes the "single-particle indicators" for the stability of a fractional Chern insulator (FCI) when a topological flat band is partially filled. Our results guide the experimental realization of an FCI in this platform.
title Optimizing superlattice bilayer graphene for a fractional Chern insulator
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2505.05551