Topological flat band models and fractional Chern insulators

EJ Bergholtz, Z Liu - International Journal of Modern Physics B, 2013 - World Scientific
Topological insulators and their intriguing edge states can be understood in a single-particle
picture and can as such be exhaustively classified. Interactions significantly complicate this …

Electronic properties of graphene in a strong magnetic field

MO Goerbig - Reviews of Modern Physics, 2011 - APS
The basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong
perpendicular magnetic field are reviewed. One of its most salient features is the relativistic …

Magic-angle twisted bilayer graphene as a topological heavy fermion problem

ZD Song, BA Bernevig - Physical review letters, 2022 - APS
Magic-angle (θ= 1.0 5°) twisted bilayer graphene (MATBG) has shown two seemingly
contradictory characters: the localization and quantum-dot-like behavior in STM …

Nearly flat Chern bands in moiré superlattices

YH Zhang, D Mao, Y Cao, P Jarillo-Herrero, T Senthil - Physical Review B, 2019 - APS
Topology and electron interactions are two central themes in modern condensed matter
physics. Here, we propose graphene-based systems where both the band topology and …

Fractional Chern insulator states in twisted bilayer graphene: An analytical approach

PJ Ledwith, G Tarnopolsky, E Khalaf… - Physical Review …, 2020 - APS
Recent experiments on bilayer graphene twisted near the magic angle have observed
spontaneous integer quantum Hall states in the presence of an aligned hexagonal boron …

[КНИГА][B] Topological phases of matter

R Moessner, JE Moore - 2021 - books.google.com
Topological Phases of Matter are an exceptionally dynamic field of research: several of the
most exciting recent experimental discoveries and conceptual advances in modern physics …

Quantum nanophotonics in two-dimensional materials

A Reserbat-Plantey, I Epstein, I Torre, AT Costa… - Acs …, 2021 - ACS Publications
The field of two-dimensional (2D) materials-based nanophotonics has been growing at a
rapid pace, triggered by the ability to design nanophotonic systems with in situ control …

Vortexability: A unifying criterion for ideal fractional Chern insulators

PJ Ledwith, A Vishwanath, DE Parker - Physical Review B, 2023 - APS
Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …

Ferromagnetism in narrow bands of moiré superlattices

C Repellin, Z Dong, YH Zhang, T Senthil - Physical Review Letters, 2020 - APS
Many graphene moiré superlattices host narrow bands with nonzero valley Chern numbers.
We provide analytical and numerical evidence for a robust spin and/or valley polarized …