25 citations · 37 across the 10 of their papers we have counts for
10 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…
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…
Exact Parent Hamiltonians for All Landau Level States in a Half-flux Lattice
Xin Shen, Guangyue Ji, Jinjie Zhang +4
Realizing topological flat bands with tailored single-particle Hilbert spaces is a critical step toward exploring many-body phases, such as those featuring anyonic excitations. One…
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…
Theory of Generalized Landau Levels and Implication for non-Abelian States
Zhao Liu, Bruno Mera, Manato Fujimoto +2
Quantum geometry is a fundamental concept to characterize the local properties of quantum states. It is recently demonstrated that saturating certain quantum geometric bounds allow…
A universal low-temperature fluctuation of unconventional superconductivity revealed: Smoking gun favors Galilean bosonic superfluidity
Anthony Hegg, Ruoshi Jiang, Jie Wang +4
Low-temperature thermal fluctuations offer an essential window in characterizing the true nature of a quantum state of matter, a quintessential example being Fermi liquid theory. I…