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Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
Mesoscale and Nanoscale Physics · Submitted 20 Jan 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We demonstrate that a three dimensional time-periodically driven (Floquet) lattice can exhibit chiral hinge states and describe their interplay with Weyl physics.
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The abstract, sentence by sentence
We demonstrate that a three dimensional time-periodically driven (Floquet) lattice can exhibit chiral hinge states and describe their interplay with Weyl physics. A peculiar type of the hinge states are enforced by the repeated boundary reflections with lateral Goos-H\"{a}nchen like shifts occurring at the second-order boundaries of our system. Such chiral hinge modes coexist in a wide range of parameters regimes with Fermi arc surface states connecting a pair of Weyl points in a two-band model. We find numerically that these modes still preserve their locality along the hinge and their chiral nature in the presence of local defects and other parameter changes. We trace the robustness of such chiral hinge modes to special band structure unique in a Floquet system allowing all the eigenstates to be localized in quasi-one-dimensional regions parallel to each other when open hinge boundaries are introduced. The implementation of a model featuring both the second-order Floquet skin effect and the Weyl physics is straightforward with ultracold atoms in optical superlattices.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We demonstrate that a three dimensional time-periodically driven (Floquet) lattice can exhibit chiral hinge states and describe their interplay with Weyl physics. | contribution 0.90 | 0.94 | 0.79 | asserted 0.98 |
| s1 | A peculiar type of the hinge states are enforced by the repeated boundary reflections with lateral Goos-H\"{a}nchen like shifts occurring at the second-order boundaries of our system. | result 0.80 | 0.79 | 0.09 | asserted 1.00 |
| s2 | Such chiral hinge modes coexist in a wide range of parameters regimes with Fermi arc surface states connecting a pair of Weyl points in a two-band model. | result 1.00 | 0.73 | 0.18 | asserted 1.00 |
| s3 | We find numerically that these modes still preserve their locality along the hinge and their chiral nature in the presence of local defects and other parameter changes. | result 1.00 | 0.96 | 0.14 | asserted 1.00 |
| s4 | We trace the robustness of such chiral hinge modes to special band structure unique in a Floquet system allowing all the eigenstates to be localized in quasi-one-dimensional regions parallel to each other when open hinge boundaries are introduced. | interpretation 0.69 | 0.92 | 0.18 | asserted 1.00 |
| s5 | The implementation of a model featuring both the second-order Floquet skin effect and the Weyl physics is straightforward with ultracold atoms in optical superlattices. | method 0.74 | 0.30 | 0.05 | asserted 0.96 |
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Original abstract
We demonstrate that a three dimensional time-periodically driven (Floquet) lattice can exhibit chiral hinge states and describe their interplay with Weyl physics. A peculiar type of the hinge states are enforced by the repeated boundary reflections with lateral Goos-H\"{a}nchen like shifts occurring at the second-order boundaries of our system. Such chiral hinge modes coexist in a wide range of parameters regimes with Fermi arc surface states connecting a pair of Weyl points in a two-band model. We find numerically that these modes still preserve their locality along the hinge and their chiral nature in the presence of local defects and other parameter changes. We trace the robustness of such chiral hinge modes to special band structure unique in a Floquet system allowing all the eigenstates to be localized in quasi-one-dimensional regions parallel to each other when open hinge boundaries are introduced. The implementation of a model featuring both the second-order Floquet skin effect and the Weyl physics is straightforward with ultracold atoms in optical superlattices.
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Compares with 2 papers
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This effect resembles an extensive accumulation of boundary modes featured in the non-Hermitian skin effect [ref] .
Exceptional Topology of Non-Hermitian Systems · Fine-tuned driving · 0.98
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This effect resembles an extensive accumulation of boundary modes featured in the non-Hermitian skin effect [ref] .
Non-Hermitian Physics · Fine-tuned driving · 0.98
Cites as background 2 papers
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In this paper, we show that time-periodic driving of a three dimensional (3D) lattice can give rise to the coexistence of Weyl physics [ref] with a new type of hinge (i.e. second-order boundary) states.
Floquet and Anomalous Floquet Weyl Semimetals · Introduction · 0.90
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In this paper, we show that time-periodic driving of a three dimensional (3D) lattice can give rise to the coexistence of Weyl physics [ref] with a new type of hinge (i.e. second-order boundary) states.
Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling · Introduction · 0.90
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