Topological Anderson Insulator in Disordered Photonic Crystals

Liu, Gui-Geng; Yang, Yihao; Ren, Xin; Xue, Haoran; Lin, Xiao; Hu, Yuan-Hang; Sun, Hong-xiang; Peng, Bo; Zhou, Peiheng; Chong, Yidong; Zhang, Baile

doi:10.1103/physrevlett.125.133603

Cited by 97 publications

(50 citation statements)

References 38 publications

(52 reference statements)

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“…The reflection symmetries result in a nonvanishing topological invariant, the quantized multipole moment of the bulk bands. Similar to the case of boundless periodic systems, when analysis is performed in Bloch (momentum) space ( 30 , 31 ), in the case of finite systems, the topological invariant can be extracted from the respective eigenfunctions calculated in the real-space representation ( 46 ), the procedure which is customarily used in analysis of disordered and quasiperiodic systems ( 27 , 28 , 47 – 50 ). Nonetheless, even if the evaluation of multipole polarization is possible in the DAA, from a geometric point of view it is a meaningless quantity in 1D, and thus it should be understood and interpreted differently.…”

Section: Resultsmentioning

confidence: 99%

Nonlocal topological insulators: Deterministic aperiodic arrays supporting localized topological states protected by nonlocal symmetries

Chen

Weiner

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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Significance A concept of nonlocal topological phases of DAAs introduced here establishes a different direction in topological physics and offers approaches to emulate higher-dimensional topology in lower-dimensional systems. Our study also unveils opportunities to engineer topologically protected states in aperiodic systems and paves the path to application of resonances associated with such states, whose robustness is ensured by nonlocal symmetries of DAAs. In particular, the possibility to engineer multiple localized resonances via dimensional reduction and their unique features, such as precise spectral properties stemming from their topological nature, offers remarkable opportunities for practical applications, from robust resonators to sensors and aperiodic topological lasers.

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Section: Resultsmentioning

confidence: 99%

Nonlocal topological insulators: Deterministic aperiodic arrays supporting localized topological states protected by nonlocal symmetries

Chen

Weiner

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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“…In recent years, the TAIs and their generalizations have been revealed in various systems [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], even in some non-Hermitian systems [31][32][33][34][35][36][37] and in the presence of inter-particle interactions [38][39][40]. Some of them have been experimentally observed in engineered lattices, such as cold atomic gases [41], photonic and sonic crystals [42][43][44], electric circuits [45], and photonic quantum walks [36]. However, the interplay between disorder-induced topological and localization transitions remains largely unexplored.…”

Section: Introductionmentioning

confidence: 99%

Topological Anderson insulators with different bulk states in quasiperiodic chains

Tang,

Liu,

Zhang

et al. 2022

Preprint

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We investigate the topology and localization of one-dimensional Hermitian and non-Hermitian Su-Schrieffer-Heeger chains with quasiperiodic hopping modulations. In the Hermitian case, phase diagrams are obtained by numerically and analytically calculating various topological and localization characters. We show the presence of topological extended, intermediate, and localized phases due to the coexistence of topological and localization phase transitions driven by the quasiperiodic disorder. In particular, we uncover three types of disorder-induced topological Anderson insulators (TAIs) with extended, intermediate, and localized bulk states in this chiral chain. Moreover, we study the non-Hermitian effects on the TAIs by considering two kinds of non-Hermiticities from the non-conjugate complex hopping phase and asymmetric hopping strength, respectively. We demonstrate that three types of TAIs preserve under the non-Hermitian perturbations with some unique localization and topological properties, such as the non-Hermitian real-complex and localization transitions and their topological nature.

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“…Surprisingly, the static disorder has been proven able to achieve nontrivial topology in some topologically trivial pure sys-tems. A prominent example is the topological Anderson insulator [52][53][54][55][56][57]. More recently, disorder-induced higher-order topological insulators have been found both theoretically and experimentally [58][59][60].…”

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confidence: 99%

Tailoring Quadrupole Topological Insulators with Periodic Driving and Disorder

Ning,

Fu,

et al. 2022

Preprint

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The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various static settings with periodic structures. Here, we theoretically investigate topological phase transitions and establish the QTI phase in a periodically driven system with disorder. In the clean limit, the Floquet QTI phase emerges from a topologically trivial band structure driven by elliptically polarized irradiation. More strikingly, starting from a pure and static system with trivial topology, we unveil an intriguing QTI phase which necessitates the simultaneous presence of disorder and periodic driving. Furthermore, we reveal that particle-hole symmetry is sufficient to protect the QTI. Our work not only establishes a new strategy to design QTIs but also enriches the symmetry-protected mechanism of higher-order topology.

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Topological Anderson Insulator in Disordered Photonic Crystals

Cited by 97 publications

References 38 publications

Nonlocal topological insulators: Deterministic aperiodic arrays supporting localized topological states protected by nonlocal symmetries

Nonlocal topological insulators: Deterministic aperiodic arrays supporting localized topological states protected by nonlocal symmetries

Topological Anderson insulators with different bulk states in quasiperiodic chains

Tailoring Quadrupole Topological Insulators with Periodic Driving and Disorder

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