25 citations · 25 across the 8 of their papers we have counts for
9 papers
Perfect elliptic dichroism: Probing the metric of anisotropic quantum Hall droplets
Bruno Mera, Alberto Nardin, Anaïs Defossez +3
Understanding the geometry of quantum Hall systems is a central challenge in modern condensed matter physics. We introduce a framework for probing the geometric structure of quantu…
Hall viscosity from metric-sensitive dichroic probes
Alberto Nardin, Bruno Mera, Anaïs Defossez +3
Hall viscosity characterizes the geometric response of a quantum Hall droplet to deformations of the underlying metric, yet it has remained difficult to measure directly. We propos…
Quantum Hall States response to toroidal geometry deformation
Bruno Mera, José M. Mourão, João P. Nunes +1
In this paper, we apply techniques of geometric quantization to study the response of the integer and fractional quantum Hall effects to toroidal geometry deformation. The main met…
Harmonic band theory: rigidity of non-zero degree harmonic maps from 2-torus to complex projective space
Yoshinori Hashimoto, Bruno Mera, Tomoki Ozawa
We prove the rigidity of isotropic harmonic maps from a 2-torus to a complex projective space, when they are constructed from holomorphic embeddings associated to complete linear s…
Relaxation toward an Ideal Chern Band through Coupling to a Markovian Bath
Bruno Mera, Tomoki Ozawa
We propose a microscopic, weak-coupling mechanism by which generic Chern bands asymptotically relax toward ideal bands. We consider coupling interacting electrons to a Caldeira-Leg…
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…
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…
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…