Tunable Aharonov-Bohm cages through 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mtext>anti-</mml:mtext><mml:mi mathvariant="script">PT</mml:mi><mml:mtext>-symmetric</mml:mtext></mml:mrow></mml:math>
 imaginary couplings

Zhang, S. M.; Xu, H. S.; Jin, L.

doi:10.1103/physreva.108.023518

Phys. Rev. A

2023

DOI: 10.1103/physreva.108.023518

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Tunable Aharonov-Bohm cages through anti-PT-symmetric imaginary couplings

S. M. Zhang,

H. S. Xu,

L. Jin

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2024

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Cited by 4 publications

(1 citation statement)

References 116 publications

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“…[68][69][70][71] In non-Hermitian systems, the flat bands are explored both theoretically and experimentally. [72][73][74][75][76][77][78][79] In quasi-1D lattices, flat bands persist with the addition of 𝒫𝒯 -symmetric gain and loss, [72] while the system is in the exact (broken) 𝒫𝒯 -symmetric phase through manipulating the gain/loss rate. [80] In addition, tunable flat bands are proposed in the 1D and 2D non-Hermitian lattices under destructive interference.…”

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confidence: 99%

Localization Dynamics at the Exceptional Point of Non-Hermitian Creutz Ladder

Zhang 张,

He 何,

Jin 金

2024

Chinese Phys. Lett.

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We propose a quasi-one-dimensional non-Hermitian Creutz ladder with entirely flat spectrum by introducing alternating gain and loss components while maintaining inversion symmetry. Destructive interference generates flat spectrum at the exceptional point, where the Creutz ladder maintains coalesced and degenerate eigenvalues with compact localized states distributed in single plaquette. All excitations are completely confined within the localization area, unaffected by gain and loss. Single-site excitations exhibit nonunitary dynamics with intensities increasing due to level coalescence, while multiple-site excitations may display oscillating or constant intensities at the exceptional point. These results provide insights into the fascinating dynamics of non-Hermitian localization, where level coalescence and degeneracy coexist at the exceptional point.

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confidence: 99%

Localization Dynamics at the Exceptional Point of Non-Hermitian Creutz Ladder

Zhang 张,

He 何,

Jin 金

2024

Chinese Phys. Lett.

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Localization–delocalization transitions in non-Hermitian Aharonov–Bohm cages

Li,

Liu,

Liu

2024

Front. Phys.

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Quasi-localization and Wannier obstruction in partially flat bands

Park,

Rhim

2024

Commun Phys

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The localized nature of a flat band is understood by the existence of a compact localized eigenstate. However, the localization properties of a partially flat band, ubiquitous in surface modes of topological semimetals, have been unknown. We show that the partially flat band is characterized by a non-normalizable quasi-compact localized state (Q-CLS), which is compactly localized along several directions but extended in at least one direction. The partially flat band develops at momenta where normalizable Bloch wave functions can be obtained from a linear combination of the non-normalizable Q-CLSs. Outside this momentum region, a ghost flat band, unseen from the band structure, is introduced based on a counting argument. Then, we demonstrate that the Wannier function corresponding to the partially flat band exhibits an algebraic decay behavior. Namely, one can have the Wannier obstruction in a band with a vanishing Chern number if it is partially flat. Finally, we develop the construction scheme of a tight-binding model for a topological semimetal by designing a Q-CLS.

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Tunable Aharonov-Bohm cages through anti-PT-symmetric imaginary couplings

Cited by 4 publications

References 116 publications

Localization Dynamics at the Exceptional Point of Non-Hermitian Creutz Ladder

Localization Dynamics at the Exceptional Point of Non-Hermitian Creutz Ladder

Localization–delocalization transitions in non-Hermitian Aharonov–Bohm cages

Quasi-localization and Wannier obstruction in partially flat bands

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