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Autori principali: Lu, Shuangyuan, Lu, Yuan-Ming
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2410.03196
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author Lu, Shuangyuan
Lu, Yuan-Ming
author_facet Lu, Shuangyuan
Lu, Yuan-Ming
contents Floquet Topological Insulators (FTIs) in two spatial dimensions can exhibit anomalous chiral edge modes despite a fully localized bulk, captured by a new topological invariant other than the Chern number. In this work, we focus on (2 + 1)D FTIs in symmetry class A with a spacetime symmetry known as n-fold time screw symmetry. We show that the bulk invariant can be partially determined by symmetry indicators associated with n = 2, 3, 4, 6 time screw symmetry, which only depend on the time evolution in high symmetry momenta. We derive simple formula that relates symmetry indicators to the bulk invariant, and demonstrate its validity in examples of FTI models. Our results can simplify the engineering of FTIs in real materials, and especially shed light on systems driven by circularly polarized light.
format Preprint
id arxiv_https___arxiv_org_abs_2410_03196
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spacetime symmetry indicators for two-dimensional Floquet topological insulators
Lu, Shuangyuan
Lu, Yuan-Ming
Strongly Correlated Electrons
Floquet Topological Insulators (FTIs) in two spatial dimensions can exhibit anomalous chiral edge modes despite a fully localized bulk, captured by a new topological invariant other than the Chern number. In this work, we focus on (2 + 1)D FTIs in symmetry class A with a spacetime symmetry known as n-fold time screw symmetry. We show that the bulk invariant can be partially determined by symmetry indicators associated with n = 2, 3, 4, 6 time screw symmetry, which only depend on the time evolution in high symmetry momenta. We derive simple formula that relates symmetry indicators to the bulk invariant, and demonstrate its validity in examples of FTI models. Our results can simplify the engineering of FTIs in real materials, and especially shed light on systems driven by circularly polarized light.
title Spacetime symmetry indicators for two-dimensional Floquet topological insulators
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2410.03196