Interacting topological quantum chemistry in 2D with many-body real space invariants

J Herzog-Arbeitman, BA Bernevig, ZD Song - Nature communications, 2024 - nature.com
The topological phases of non-interacting fermions have been classified by their
symmetries, culminating in a modern electronic band theory where wavefunction topology …

Electronic properties, correlated topology, and Green's function zeros

C Setty, F Xie, S Sur, L Chen, MG Vergniory, Q Si - Physical Review Research, 2024 - APS
There is extensive current interest in electronic topology in correlated settings. In strongly
correlated systems, contours of Green's function zeros may develop in frequency-momentum …

Interacting topological quantum chemistry of Mott atomic limits

MO Soldini, N Astrakhantsev, M Iraola, A Tiwari… - Physical Review B, 2023 - APS
Topological quantum chemistry (TQC) is a successful framework for identifying
(noninteracting) topological materials. Based on the symmetry eigenvalues of Bloch …

Non-Hermitian many-body topological excitations in interacting quantum dots

T Hyart, JL Lado - Physical Review Research, 2022 - APS
Quantum dots are one of the paradigmatic solid-state systems for quantum engineering,
providing an outstanding tunability to explore fundamental quantum phenomena. Here we …

Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros

C Setty, S Sur, L Chen, F Xie, H Hu, S Paschen… - Physical Review …, 2024 - APS
Lattice symmetries are central to the characterization of electronic topology. Recently, it was
shown that Green's function eigenvectors form a representation of the space group. This …

Topological diagnosis of strongly correlated electron systems

C Setty, F Xie, S Sur, L Chen, S Paschen… - arXiv preprint arXiv …, 2023 - arxiv.org
The intersection of electronic topology and strong correlations offers a rich platform to
discover exotic quantum phases of matter and unusual materials. An overarching challenge …

Mottness in obstructed atomic insulators without Mott transition

K Jiang, Z Qi, H Weng, J Hu - Physical Review B, 2023 - APS
The obstructed atomic insulators are insulators with both atomic limits and boundary states.
In this study, we examine the properties of obstructed atomic insulators under correlation …

Towards a topological quantum chemistry description of correlated systems: The case of the Hubbard diamond chain

M Iraola, N Heinsdorf, A Tiwari, D Lessnich, T Mertz… - Physical Review B, 2021 - APS
The recently introduced topological quantum chemistry (TQC) framework has provided a
description of universal topological properties of all possible band insulators in all space …

Optical Conductivity in Symmetric Mass Generation Insulators

M Zeng, F Xu, DC Lu, YZ You - arXiv preprint arXiv:2405.05339, 2024 - arxiv.org
Symmetric mass generation (SMG) insulators are interaction-driven, featureless Mott
insulating states in quantum many-body fermionic systems. Recent advancements suggest …

Interacting crystalline topological insulators in two-dimensions with time-reversal symmetry

MO Soldini, ÖM Aksoy, T Neupert - Physical Review Research, 2024 - APS
Topology is routinely used to understand the physics of electronic insulators. However, for
strongly interacting electronic matter, such as Mott insulators, a comprehensive topological …