25 citations · 25 across the 8 of their papers we have counts for
5 papers · 1 filter
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…