Recent developments in fractional Chern insulators

Z Liu, EJ Bergholtz - arXiv preprint arXiv:2208.08449, 2022 - arxiv.org
Fractional Chern insulators (FCIs) are lattice generalizations of the conventional fractional
quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a …

Thermodynamic evidence of fractional Chern insulator in moiré MoTe2

Y Zeng, Z Xia, K Kang, J Zhu, P Knüppel, C Vaswani… - Nature, 2023 - nature.com
Chern insulators, which are the lattice analogues of the quantum Hall states, can potentially
manifest high-temperature topological orders at zero magnetic field to enable next …

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 …

Observation of Integer and Fractional Quantum Anomalous Hall Effects in Twisted Bilayer

F Xu, Z Sun, T Jia, C Liu, C Xu, C Li, Y Gu, K Watanabe… - Physical Review X, 2023 - APS
The interplay between strong correlations and topology can lead to the emergence of
intriguing quantum states of matter. One well-known example is the fractional quantum Hall …

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 Chern Insulator in Twisted Bilayer

C Wang, XW Zhang, X Liu, Y He, X Xu, Y Ran, T Cao… - Physical Review Letters, 2024 - APS
A recent experiment has reported the first observation of a zero-field fractional Chern
insulator (FCI) phase in twisted bilayer MoTe 2 moiré superlattices [J. Cai, Signatures of …

Fractional Chern insulators in magic-angle twisted bilayer graphene

Y Xie, AT Pierce, JM Park, DE Parker, E Khalaf… - Nature, 2021 - nature.com
Abstract Fractional Chern insulators (FCIs) are lattice analogues of fractional quantum Hall
states that may provide a new avenue towards manipulating non-Abelian excitations. Early …

Fractional quantum anomalous Hall states in twisted bilayer and

AP Reddy, F Alsallom, Y Zhang, T Devakul, L Fu - Physical Review B, 2023 - APS
We demonstrate via exact diagonalization that AA-stacked transition metal dichalcogenide
homobilayers host fractional quantum anomalous Hall (FQAH) states with fractionally …

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 …

Magic-angle helical trilayer graphene

T Devakul, PJ Ledwith, LQ Xia, A Uri… - Science …, 2023 - science.org
We propose magic-angle helical trilayer graphene (HTG), a helical structure featuring
identical rotation angles between three consecutive layers of graphene, as a unique and …