Topological quantum matter in synthetic dimensions

T Ozawa, HM Price - Nature Reviews Physics, 2019 - nature.com
In the field of quantum simulation of condensed matter phenomena by artificially
engineering the Hamiltonian of an atomic, molecular or optical system, the concept of …

Topological photonics

T Ozawa, HM Price, A Amo, N Goldman, M Hafezi… - Reviews of Modern …, 2019 - APS
Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

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 …

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 …

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 …

Magic-angle helical trilayer graphene

T Devakul, PJ Ledwith, LQ **a, 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 …

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 National Academy of …, 2024 - pnas.org
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 …

Exact landau level description of geometry and interaction in a flatband

J Wang, J Cano, AJ Millis, Z Liu, B Yang - Physical review letters, 2021 - APS
Flatbands appear in many condensed matter systems, including the two-dimensional
electron gas in a high magnetic field, correlated materials, and moiré heterostructures. They …

Vortexability: A unifying criterion for ideal fractional Chern insulators

PJ Ledwith, A Vishwanath, DE Parker - Physical Review B, 2023 - APS
Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …

Fundamental bound on topological gap

Y Onishi, L Fu - Physical Review X, 2024 - APS
We provide a universal tight bound on the energy gap of topological insulators by exploring
relationships between topology, quantum geometry, and optical absorption. Applications of …