7 papers
Ideal Quantum Geometry for Fractional Chern Insulators
Jennifer Cano, Jie Wang
Quantum geometry plays a fundamental role in many aspects of condensed matter physics. Among its central objects are the Berry curvature and the quantum metric -- quantities that,…
Fractional High-Chern Insulator in Twisted Rhombohedral Graphene
Zexu Li, Wenxuan Wang, Fajie Wang +9
The realization of fractional Chern insulators opens up the possibility of exploring fractionally charged excitations and anyonic statistics in the absence of a magnetic field. A c…
Mapping Phase Diagrams of Quantum Spin Systems through Semidefinite-Programming Relaxations
David Jansen, Donato Farina, Luke Mortimer +5
Identifying quantum phase transitions poses a significant challenge in condensed matter physics, as this requires methods that both provide accurate results and scale well with sys…
Density Matrix Geometry and Sum Rules
Guangyue Ji, David E. Palomino, Nathan Goldman +4
Geometry plays a fundamental role in a wide range of physical responses, from anomalous transport coefficients to their related sum rules. Notable examples include the quantization…
Bootstrapping the Quantum Hall problem
Qiang Gao, Ryan A. Lanzetta, Patrick Ledwith +2
The bootstrap method aims to solve problems by imposing constraints on the space of physical observables, which often follow from physical assumptions such as positivity and symmet…
Geometrical Responses of Generalized Landau Levels: Structure Factor and the Quantized Hall Viscosity
Carolina Paiva, Jie Wang, Tomoki Ozawa +1
We present a new geometric characterization of generalized Landau levels (GLLs). The GLLs are a generalization of Landau levels to non-uniform Berry curvature, and are mathematical…