Symmetry-protected topological corner modes in a periodically driven interacting spin lattice

• URL: http://arxiv.org/abs/2206.06660v2
• Date: Wed, 16 Nov 2022 05:41:28 GMT
• Title: Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Authors: Kelvin Koor, Raditya Weda Bomantara, Leong Chuan Kwek
• Abstract summary: Floquet symmetry protected second-order topological phases in a simple but insightful two-dimensional spin-1/2 lattice. We show that corner localized $mathbbZ$ symmetry broken operators commute and anticommute with the one-period time evolution operator. We propose a means to detect the signature of such modes in experiments and discuss the effect of imperfections.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Periodic driving has the longstanding reputation for generating exotic phases of matter with no static counterparts. This work explores the interplay among periodic driving, interaction effects, and $\mathbb{Z}_2$ symmetry that leads to the emergence of Floquet symmetry protected second-order topological phases in a simple but insightful two-dimensional spin-1/2 lattice. Through a combination of analytical and numerical treatments, we verify the formation of 0 and $\pi$ modes, i.e., corner localized $\mathbb{Z}_2$ symmetry broken operators that respectively commute and anticommute with the one-period time evolution operator. We further verify the topological nature of these modes by demonstrating their presence over a wide range of parameter values and explicitly deriving their associated topological invariants under special conditions. Finally, we propose a means to detect the signature of such modes in experiments and discuss the effect of imperfections.

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