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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation

Symmetry-protected flatband condition for Hamiltonians with local symmetry

arXiv
Authors: Jung-Wan Ryu, Alexei Andreanov, Hee Chul Park, Jae-Ho Han

Year

2023

Paper ID

55389

Status

Preprint

Abstract Read

~2 min

Abstract Words

77

Citations

N/A

Abstract

We derive symmetry-based conditions for tight-binding Hamiltonians with flatbands to have compact localized eigenstates occupying a single unit cell. The conditions are based on unitary operators commuting with the Hamiltonian and associated with local symmetries that guarantee compact localized states and a flatband. We illustrate the conditions for compact localized states and flatbands with simple Hamiltonians with given symmetries. We also apply these results to general cases such as the Hamiltonian with long-range hoppings and higher-dimensional Hamiltonian.

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  • We derive symmetry-based conditions for tight-binding Hamiltonians with flatbands to have compact localized eigenstates occupying a single unit cell.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2308.14997 [2] arXiv https://arxiv.org/abs/2308.14997 [3] Publisher https://arxiv.org/abs/2308.14997

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