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 …

Quantum interactions in topological R166 kagome magnet

X Xu, JX Yin, Z Qu, S Jia - Reports on Progress in Physics, 2023 - iopscience.iop.org
Kagome magnet has been found to be a fertile ground for the search of exotic quantum
states in condensed matter. Arising from the unusual geometry, the quantum interactions in …

Signatures of fractional quantum anomalous Hall states in twisted MoTe2

J Cai, E Anderson, C Wang, X Zhang, X Liu… - Nature, 2023 - nature.com
The interplay between spontaneous symmetry breaking and topology can result in exotic
quantum states of matter. A celebrated example is the quantum anomalous Hall (QAH) state …

Composite Fermi Liquid at Zero Magnetic Field in Twisted

J Dong, J Wang, PJ Ledwith, A Vishwanath… - Physical Review Letters, 2023 - APS
The pursuit of exotic phases of matter outside of the extreme conditions of a quantizing
magnetic field is a long-standing quest of solid state physics. Recent experiments have …

Anomalous Hall crystals in rhombohedral multilayer graphene. I. Interaction-driven Chern bands and fractional quantum Hall states at zero magnetic field

J Dong, T Wang, T Wang, T Soejima, MP Zaletel… - Physical Review Letters, 2024 - APS
Recent experiments on rhombohedral pentalayer graphene with a substrate-induced moiré
potential have identified both Chern insulators and fractional quantum Hall states at zero …

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 …

Identifying topological order by entanglement entropy

HC Jiang, Z Wang, L Balents - Nature Physics, 2012 - nature.com
Topological phases are unique states of matter that incorporate long-range quantum
entanglement and host exotic excitations with fractional quantum statistics. Here we report a …

Fractional chern insulator

N Regnault, BA Bernevig - Physical Review X, 2011 - APS
Chern insulators are band insulators exhibiting a nonzero Hall conductance but preserving
the lattice translational symmetry. We conclusively show that a partially filled Chern insulator …

Flatbands and Emergent Ferromagnetic Ordering in Kagome Lattices

Z Lin, JH Choi, Q Zhang, W Qin, S Yi, P Wang, L Li… - Physical review …, 2018 - APS
A flatband representing a highly degenerate and dispersionless manifold state of electrons
may offer unique opportunities for the emergence of exotic quantum phases. To date …

Neural-network quantum states, string-bond states, and chiral topological states

I Glasser, N Pancotti, M August, ID Rodriguez, JI Cirac - Physical Review X, 2018 - APS
Neural-network quantum states have recently been introduced as an Ansatz for describing
the wave function of quantum many-body systems. We show that there are strong …