Dynamic Observation of Topological Soliton States in a Programmable Nanomechanical Lattice

Sun, Liwei; Zhang, Liang; Tian, Tian; Duan, Chang‐Kui; Du, Jiangfeng

doi:10.1021/acs.nanolett.0c04121

Cited by 15 publications

(11 citation statements)

References 50 publications

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“…A topological soliton connects such topologically distinct groundstates and shows many interesting properties such as fractional charge, particle-antiparticle symmetry, and spin-charge separation [30,31,[35][36][37][38]. The generation and destruction of such solitons in the SSH model are also demonstrated in several systems [39][40][41][42].…”

Section: Introductionmentioning

confidence: 95%

Defect-induced solitons in double Peierls chain model

Han

Kang

Cheon

2021

J. Korean Phys. Soc.

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The generation and manipulation of topological solitons are of great importance in fundamental and practical aspects. Recently, chiral solitons and their topological operations have been experimentally discovered in the double Peierls chains of an indium atomic wire on a silicon substrate. Here, we theoretically study the role of defects at edges as generators of topological chiral solitons in the double Peierls chain model composed of two Su-Schrieffer-Heeger chains with interchain coupling. We classify four types of defects according to the combination of strong or weak defects in each chain. Two strong defects at an edge remain stable and do not generate a soliton. Interestingly, two weak defects at an edge generate a non-chiral soliton, while a weak defect in a chain and a strong defect in the other generate either a right-chiral or left-chiral soliton. Our work opens a pathway to generate and manipulate topological solitons in various one-dimensional systems.

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Section: Introductionmentioning

confidence: 95%

Defect-induced solitons in double Peierls chain model

Han

Kang

Cheon

2021

J. Korean Phys. Soc.

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Section: D Topological Phases In Metamaterialsmentioning

confidence: 99%

“…Interestingly, the topological nature of these phononic boundary modes gives them strong robustness to perturbations. This peculiar property also hinders potential fabrication inaccuracies and allows their nanoscale implementation, − Figure (c). At the macroscopic scale, such protection against spatial and resonant frequency disorder has been harnessed in the context of topological Fano resonances , and robust analog computation .…”

Section: D Topological Phases In Metamaterialsmentioning

confidence: 99%

Topological Metamaterials

Yves

Krasnok

et al. 2023

Chem. Rev.

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The topological properties of an object, associated with an integer called the topological invariant, are global features that cannot change continuously but only through abrupt variations, hence granting them intrinsic robustness. Engineered metamaterials (MMs) can be tailored to support highly nontrivial topological properties of their band structure, relative to their electronic, electromagnetic, acoustic and mechanical response, representing one of the major breakthroughs in physics over the past decade. Here, we review the foundations and the latest advances of topological photonic and phononic MMs, whose nontrivial wave interactions have become of great interest to a broad range of science disciplines, such as classical and quantum chemistry. We first introduce the basic concepts, including the notion of topological charge and geometric phase. We then discuss the topology of natural electronic materials, before reviewing their photonic/phononic topological MM analogues, including 2D topological MMs with and without time-reversal symmetry, Floquet topological insulators, 3D, higher-order, non-Hermitian and nonlinear topological MMs. We also discuss the topological aspects of scattering anomalies, chemical reactions and polaritons. This work aims at connecting the recent advances of topological concepts throughout a broad range of scientific areas and it highlights opportunities offered by topological MMs for the chemistry community and beyond.

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“…Firstly, the electrostatic coupling interactions between nearest-neighboring resonators have been experimentally demonstrated [31,32]. With these mechanical-mechanical couplings, programmable mechanical resonator arrays have been realized to investigate the soliton edge states and phase transitions in 1D topological systems [33,34]. Secondly, according to the achievement on nanoelectromechanical spin transducer by the M. D. Lukin group, the tunable mechanical-mechanical coupling interations may also be induced by capacitances [35].…”

Section: Introductionmentioning

confidence: 99%

Tunable chiral spin–spin interactions in a spin-mechanical hybrid system: application to causal-effect simulation

Li,

Zhao

et al. 2024

New J. Phys.

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Long-range chiral interactions are very attractive due to their potential applications in quantum simulation and quantum information processing. Here we propose and analyze a novel spin-mechanical hybrid quantum device for designing and engineering chiral spin-spin interactions by integrating spin qubits into a programmable mechanical chain. After mapping the Hamiltonian of the mechanical lattice to the Su-Schrieffer-Heeger model, we find that chiral spin-phonon bound states and spin-spin coupling interactions can be achieved. Specifically, the range and strength of chiral spin-spin couplings can be tuned in situ by the on-chip manipulation voltages. We further employ this setup to simulate the causal effects in long-range chiral-coupling systems, showing that the correlation functions propagate individually in two sublattices. These phenomena are very different from the situations in the conventional long-range coupling quantum systems without chiral symmetry.

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Dynamic Observation of Topological Soliton States in a Programmable Nanomechanical Lattice

Cited by 15 publications

References 50 publications

Defect-induced solitons in double Peierls chain model

Defect-induced solitons in double Peierls chain model

Topological Metamaterials

Tunable chiral spin–spin interactions in a spin-mechanical hybrid system: application to causal-effect simulation

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