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 …

Quantum geometry in condensed matter

T Liu, XB Qiang, HZ Lu, XC **e - 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 …

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 …

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 …

Essay: Where can quantum geometry lead us?

P Törmä - Physical Review Letters, 2023 - APS
Quantum geometry defines the phase and amplitude distances between quantum states.
The phase distance is characterized by the Berry curvature and thus relates to topological …

Parent Berry curvature and the ideal anomalous Hall crystal

T Tan, T Devakul - Physical Review X, 2024 - APS
We study a model of electrons moving in a parent band of uniform Berry curvature. At
sufficiently high parent Berry curvature, we show that strong repulsive interactions …

Pressure-enhanced fractional Chern insulators along a magic line in moiré transition metal dichalcogenides

N Morales-Durán, J Wang, GR Schleder, M Angeli… - Physical Review …, 2023 - APS
We show that pressure applied to twisted WSe 2 can enhance the many-body gap and
region of stability of a fractional Chern insulator at filling ν= 1/3. Our results are based on …

Maximally localized Wannier functions, interaction models, and fractional quantum anomalous Hall effect in twisted bilayer MoTe2

C Xu, J Li, Y Xu, Z Bi, Y Zhang - Proceedings of the …, 2024 - National Acad Sciences
We investigate the moiré band structures and the strong correlation effects in twisted bilayer
MoTe 2 for a wide range of twist angles, employing a combination of various techniques …

Anomalous Hall crystals in rhombohedral multilayer graphene. II. General mechanism and a minimal model

T Soejima, J Dong, T Wang, T Wang, MP Zaletel… - Physical Review B, 2024 - APS
We propose a minimal “three-patch model” for the anomalous Hall crystal (AHC), a
topological electronic state that spontaneously breaks both time-reversal symmetry and …