Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits

Wang, Haiteng; Zhang, Weixuan; Sun, Houjun; Zhang, Xiangdong

doi:10.1103/physrevb.106.104203

Cited by 11 publications

(3 citation statements)

References 45 publications

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“…The diamond chain lattice has been fabricated as a Josephson junction array [34], in photonic lattices [29,30,98], in topoelectrical circuits [99], and in a synthetic lattice in the momentum space of ultracold atoms [100]. To apply the synthetic lattice approach, we have to encode the sites within each unit cell of a minimal ribbon into suitable non-spatial degrees of freedom, such as the spin-orbital freedoms of the atoms or the frequency modes under a periodic driving, and establish the connections among them following the pattern of the target lattice.…”

Section: A Experimental Realizationmentioning

confidence: 99%

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Zigzag dice lattice ribbons: Distinct edge morphologies and structure-spectrum correspondences

Hao

2022

Phys. Rev. Materials

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Ribbons of two-dimensional lattices have properties depending sensitively on the morphology of the two edges. For regular ribbons with two parallel straight edges, the atomic chains terminating the two edges may have more than one choices for a general edge orientation. We enumerate the possible choices for zigzag dice lattice ribbons, which are regular ribbons of the dice lattice with edges parallel to a zigzag direction, and explore the relation between the edge morphologies and their electronic spectra. A formula is introduced to count the number of distinct edge termination morphologies for the regular ribbons, which gives 18 distinct edge termination morphologies for the zigzag dice lattice ribbons. For the pure dice model, because the equivalence of the two rim sublattices, the numerical spectra of the zigzag ribbons show qualitative degeneracies among the different edge termination morphologies. For the symmetrically biased dice model, we see a one-to-one correspondence between the 18 edge termination morphologies and their electronic spectra, when both the zero-energy flat bands and the dispersive or nonzero-energy in-gap states are considered. We analytically study several interesting features in the electronic spectra, including the number and wave functions of the zero-energy flat bands, and the analytical spectrum of novel in-gap states. The in-gap states of the zigzag dice lattice ribbons both exhibit interesting similarities and show salient differences when compared to the spectra of the zigzag ribbons of the honeycomb lattice.

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Section: A Experimental Realizationmentioning

confidence: 99%

“…The topoelectrical circuit for the diamond chain lattice is constructed via unit by unit assembly [99], which is highly flexible and scalable. As such, the extension of the circuit for the diamond chain lattice to circuits for the four new minimal zigzag dice lattice ribbons is straightforward.…”

Section: A Experimental Realizationmentioning

confidence: 99%

Zigzag dice lattice ribbons: Distinct edge morphologies and structure-spectrum correspondences

Hao

2022

Phys. Rev. Materials

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“…Recently, AB caging effect in optical waveguide systems has garnered significant attention, with the goal of achieving disorder-immune localization. ,,− For example, Kremer et al constructed photonic AB cages using auxiliary waveguides, exhibiting nonquantized Zak’s phase and the robustness of the topological edge modes . In addition, angular-momentum-assisted configurations, topolectrical circuits and ultracold atoms , also provided useful platforms for investigating the photonic AB caging effect. In particular, utilization of microring resonators has become one of the favorable approaches for introducing and manipulating the photonic gauge potential.…”

mentioning

confidence: 99%

On-Chip Photonic Localization in Aharonov–Bohm Cages Composed of Microring Lattices

Chen,

Ke,

Zhao

et al. 2024

Nano Lett.

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Flatband localization endowed with robustness holds great promise for disorder-immune light transport, particularly in the advancement of optical communication and signal processing. However, effectively harnessing these principles for practical applications in nanophotonic devices remains a significant challenge. Herein, we delve into the investigation of onchip photonic localization in AB cages composed of indirectly coupled microring lattices. By strategically vertically shifting the auxiliary rings, we successfully introduce a magnetic flux of π into the microring lattice, thereby facilitating versatile control over the localization and delocalization of light. Remarkably, the compact edge modes of this structure exhibit intriguing topological properties, rendering them strongly robust against disorders, regardless of the size of the system. Our findings open up new avenues for exploring the interaction between flatbands and topological photonics on integrated platforms.

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One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons

Hao¹

2023

Materials Science and Engineering: B

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Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits

Cited by 11 publications

References 45 publications

Zigzag dice lattice ribbons: Distinct edge morphologies and structure-spectrum correspondences

Zigzag dice lattice ribbons: Distinct edge morphologies and structure-spectrum correspondences

On-Chip Photonic Localization in Aharonov–Bohm Cages Composed of Microring Lattices

One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons

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