Observation of fractionally quantized anomalous Hall effect

H Park, J Cai, E Anderson, Y Zhang, J Zhu, X Liu… - Nature, 2023 - nature.com
The integer quantum anomalous Hall (QAH) effect is a lattice analogue of the quantum Hall
effect at zero magnetic field,–. This phenomenon occurs in systems with topologically non …

Quantum geometry in condensed matter

T Liu, XB Qiang, HZ Lu, XC Xie - National Science Review, 2024 - academic.oup.com
One of the most celebrated accomplishments of modern physics is the description of
fundamental principles of nature in the language of geometry. As the motion of celestial …

Fractional quantum anomalous Hall effect in multilayer graphene

Z Lu, T Han, Y Yao, AP Reddy, J Yang, J Seo… - Nature, 2024 - nature.com
The fractional quantum anomalous Hall effect (FQAHE), the analogue of the fractional
quantum Hall effect at zero magnetic field, is predicted to exist in topological flat bands …

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 …

Tunable moiré materials for probing Berry physics and topology

PC Adak, S Sinha, A Agarwal… - Nature Reviews Materials, 2024 - nature.com
Berry curvature physics and quantum geometric effects have been instrumental in
advancing topological condensed matter physics in recent decades. Although Landau level …

Quantum anomalous Hall crystal at fractional filling of moiré superlattices

DN Sheng, AP Reddy, A Abouelkomsan… - Physical Review Letters, 2024 - APS
We predict the emergence of a state of matter with intertwined ferromagnetism, charge order,
and topology in fractionally filled moiré superlattice bands. Remarkably, these quantum …

Local probe of bulk and edge states in a fractional Chern insulator

Z Ji, H Park, ME Barber, C Hu, K Watanabe… - Nature, 2024 - nature.com
The fractional quantum Hall effect is a key example of topological quantum many-body
phenomena, arising from the interplay between strong electron correlation, topological order …

Moiré fractional Chern insulators. I. First-principles calculations and continuum models of twisted bilayer

Y Jia, J Yu, J Liu, J Herzog-Arbeitman, Z Qi, H Pi… - Physical Review B, 2024 - APS
Recent experiments observed fractional Chern insulators (FCI) in twisted bilayer MoTe 2 at
zero magnetic field, yet even the single-particle model of this material is controversial …

Fractional Chern insulators versus nonmagnetic states in twisted bilayer

J Yu, J Herzog-Arbeitman, M Wang, O Vafek… - Physical Review B, 2024 - APS
Fractionally filled Chern bands with strong interactions may give rise to fractional Chern
insulator (FCI) states, the zero-field analog of the fractional quantum Hall effect. Recent …