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Floquet topological transitions in a driven one-dimensional topological insulator
Mesoscale and Nanoscale Physics · Submitted 9 Jun 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim While some regions of the quasienergy spectrum develop new gaps hosting Floquet edge states, the native gap can be dramatically reduced and the original edge states may be destroyed or replaced by new Floquet edge states.
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The abstract, sentence by sentence
The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a time-dependent potential. In particular, we evidence the competition among different photon-assisted processes and the native topology of the unperturbed Hamiltonian to settle the resulting topology at different driving frequencies. While some regions of the quasienergy spectrum develop new gaps hosting Floquet edge states, the native gap can be dramatically reduced and the original edge states may be destroyed or replaced by new Floquet edge states. Our study is complemented by an analysis of Zak phase applied to the Floquet bands. Besides serving as a simple example for understanding the physics of driven topological phases, our results could find a promising test-ground in cold matter experiments.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. | background 1.00 | 0.03 | 0.02 | asserted 1.00 |
| s1 | By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a time-dependent potential. | contribution 0.55 | 0.90 | 0.04 | asserted 0.91 |
| s2 | In particular, we evidence the competition among different photon-assisted processes and the native topology of the unperturbed Hamiltonian to settle the resulting topology at different driving frequencies. | result 0.78 | 0.90 | 0.44 | asserted 1.00 |
| s3 | While some regions of the quasienergy spectrum develop new gaps hosting Floquet edge states, the native gap can be dramatically reduced and the original edge states may be destroyed or replaced by new Floquet edge states. | result 1.00 | 0.89 | 0.54 | hedged possibility 0.59 |
| s4 | Our study is complemented by an analysis of Zak phase applied to the Floquet bands. | method 0.69 | 0.90 | 0.04 | asserted 0.94 |
| s5 | Besides serving as a simple example for understanding the physics of driven topological phases, our results could find a promising test-ground in cold matter experiments. | future work 0.57 | 0.36 | 0.08 | hedged possibility 1.00 |
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The paper
Original abstract
The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a time-dependent potential. In particular, we evidence the competition among different photon-assisted processes and the native topology of the unperturbed Hamiltonian to settle the resulting topology at different driving frequencies. While some regions of the quasienergy spectrum develop new gaps hosting Floquet edge states, the native gap can be dramatically reduced and the original edge states may be destroyed or replaced by new Floquet edge states. Our study is complemented by an analysis of Zak phase applied to the Floquet bands. Besides serving as a simple example for understanding the physics of driven topological phases, our results could find a promising test-ground in cold matter experiments.
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What it cites · 9 sentences without a confident label
Cites as background 2 papers
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Although previous works have addressed driven one-dimensional systems in a variety of contexts [ref] , the above question still remain.
Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths · Introduction · 0.92
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The sample could be either graphene [ref] , a trivial insulator [ref] , 3D Dirac semimetal [ref] , or a topological insulator [ref] .
Floquet interface states in illuminated three-dimensional topological insulators · Introduction · 0.93
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