11 papers
Representability-Aware Neural Networks for Reduced Density Matrices: Application to Fractional Chern Insulators
Justin B. Hart, Awwab A. Azam, Thomas Li +4
We develop a representability-aware and interpolable neural network (NN) framework for predicting two-particle reduced density matrices (2-RDMs). The NN incorporates a subset of re…
Quantum Geometric Quadrupole of Cooper Pairs
Wenqin Chen, Kaijie Yang, Ting Cao +3
The size of Cooper pairs defines a fundamental length scale of superconductivity, conventionally set by band dispersion and the superconducting gap. This picture breaks down in fla…
Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe
Ziyue Qi, Hanqi Pi, Yan Zhang +6
The interplay between moiré flat bands originating from different valleys can give rise to a variety of exotic quantum phases. In this work, we investigate the electronic properti…
Universal Wilson Loop Bound of Quantum Geometry
Jiabin Yu, Jonah Herzog-Arbeitman, B. Andrei Bernevig
We define the absolute Wilson loop winding and prove that it bounds the (integrated) quantum metric from below. This Wilson loop lower bound naturally reproduces the known Chern an…
Quantum Geometry in the NbSe Family I: Obstructed Compact Wannier Function and New Perturbation Theory
Jiabin Yu, Yi Jiang, Yuanfeng Xu +8
We revisit the electronic structure and band topology of monolayer 1H-NbSe, which hosts both superconductivity and charge density wave, and its related compounds 1H-MoS, Nb…
Spinless and spinful charge excitations in moiré Fractional Chern Insulators
Miguel Gonçalves, Juan Felipe Mendez-Valderrama, Jonah Herzog-Arbeitman +5
Fractionally charged elementary excitations, the quasi-electron and quasi-hole, are one of the hallmarks of the fractional Chern insulator (FCI). In this work, we observe that spon…