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 …

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 …

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 …

[BOOK][B] Field theories of condensed matter physics

E Fradkin - 2013 - books.google.com
Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

Equivalence of the resonating-valence-bond and fractional quantum Hall states

V Kalmeyer, RB Laughlin - Physical review letters, 1987 - APS
We present evidence that the ground state of the frustrated Heisenberg antiferromagnet in
two dimensions is well described by a fractional quantum Hall wave function for bosons …

[BOOK][B] Composite fermions

JK Jain - 2007 - books.google.com
This book was first published in 2007. When electrons are confined to two dimensions,
cooled to near absolute zero temperature, and subjected to a strong magnetic field, they …

Effective-field-theory model for the fractional quantum Hall effect

SC Zhang, TH Hansson, S Kivelson - Physical review letters, 1989 - APS
Starting directly from the microscopic Hamiltonian, we derive a field-theory model for the
fractional quantum Hall effect. By considering an approximate coarse-grained version of the …

Entanglement of exact excited states of Affleck-Kennedy-Lieb-Tasaki models: Exact results, many-body scars, and violation of the strong eigenstate thermalization …

S Moudgalya, N Regnault, BA Bernevig - Physical Review B, 2018 - APS
We obtain multiple exact results on the entanglement of the exact excited states of
nonintegrable models we introduced in Phys. Rev. B 98, 235155 (2018) 10.1103/PhysRevB …

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 …