5 papers
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…
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…
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…
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…
Layer skyrmions for ideal Chern bands and twisted bilayer graphene
Daniele Guerci, Jie Wang, Christophe Mora
Ideal Chern bands exhibit a Landau level correspondence: they factorize as a lowest Landau levels and a spinor wavefunction that spans the layer index. We demonstrate that, i…