Robust Multiplexing with Topolectrical Higher-Order Chern Insulators

Ni, Xiang; Xiao, Zhicheng; Khanikaev, Alexander B.; Alù, Andrea

doi:10.1103/physrevapplied.13.064031

Cited by 28 publications

(16 citation statements)

References 39 publications

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“…They are also applicable to the study of Majorana fermions which are actively being investigated for their applications to faulttolerant quantum computing [59]. This robust unidirectional property, in which current flow is allowed only one direction along a hinge, implies that a chiral hinge current excited at one hinge in a cuboid circuit cannot flow into another hinge situated diagonally opposite from the hinge being excited [60,64]. This property can therefore be exploited for robust topological signal multiplexing by utilizing the multiple discrete degrees of freedom in the system [61].…”

Section: Chiral Hinge States In Hodsmmentioning

confidence: 99%

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Higher-Order Semimetals and Chiral Hinge States in Topolectrical Circuit Model

Rafi-Ul-Islam

Siu

Jalil

2021

Preprint

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We propose a 3D topolectrical (TE) network that can be tuned to realize various higher-order topological gapless and chiral phases. We first study a higher-order Dirac semimetal phase that exhibits a hinge-like Fermi arc linking the Dirac points. This circuit can be extended to host highly tunable first- and second-order Weyl semimetals phases by introducing a non-reciprocal resistive coupling in the x − y plane that breaks time reversal symmetry. The first- and second-order Weyl points are connected by zero-admittance surface and hinge states, respectively. We also study the emergence of first- and second-order chiral modes induced by resistive couplings between similar nodes in the z-direction. These modes respectively occur in the midgap of the surface and hinge admittance bands in our circuit model without the need for any external magnetic field.

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Section: Chiral Hinge States In Hodsmmentioning

confidence: 99%

“…Therefore, both first-and second-order chiral states can be induced in the proposed TE circuit without any external magnetic field. These novel higher-order topologically non-trivial chiral states may find many applications to fault tolerant quantum computing [59], robust signal multiplexing [60], and dissipationless interconnects [61].…”

Section: A Introductionmentioning

confidence: 99%

Higher-Order Semimetals and Chiral Hinge States in Topolectrical Circuit Model

Rafi-Ul-Islam

Siu

Jalil

2021

Preprint

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“…Photonic crystal is an excellent platform for the study of topological physics [6]. The non-Hermitian quasicrystal [21,22], high-order topological phase [23][24][25][26][27], robust edge state [28][29][30][31][32][33][34][35][36], and topological lasing [37][38][39][40][41][42][43] in photonic crystals were discovered. Here, we consider a photonic crystal lattice as schematically illustrated in Fig.…”

Section: Dissipative Photonic Crystal Latticementioning

confidence: 99%

Untying links through anti-parity-time-symmetric coupling

Yang

Jin

et al. 2020

Phys. Rev. B

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We reveal how the vector field links are untied under the influence of anti-parity-time-symmetric couplings in a dissipative sublattice-symmetric topological photonic crystal lattice. The topology of the quasi-one-dimensional two-band system is encoded in the geometric topology of the vector fields associated with the Bloch Hamiltonian. The linked vector fields reflect the topology of the nontrivial phase. The topological phase transition occurs concomitantly with the untying of the vector field link at the exceptional points. Counterintuitively, more dissipation constructively creates a nontrivial topology. The linking number predicts the number of topological photonic zero modes.

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“…The topological phases of the model are characterized by an integer quantized Chern invariant; furthermore, a topological bulkboundary correspondence (BBC) in the form of chiral edge states emerges in the nontrivial Chern phases. In recent years, several works have explored composite systems of coupled Haldane layers, in particular, bilayer systems [9][10][11][12][13][14][15][16]. Despite several intriguing attempts [9][10][11][12], it has remained unclear whether the topological structure of the monolayer Haldane system is carried over to a bilayer composite.…”

Section: Introductionmentioning

confidence: 99%

“…In this regard, it was recently shown that a "topological proximity effect" results from the gap induced in the graphene monolayer in a coupled Haldane-graphene system [9,10]. Similarly, bilayer composites of Haldane systems are known to host topological "corner states," although the edge states are gapped out [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases

et al. 2021

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We present a complete topological characterization of a bilayer composite of two Chern insulators (specifically, Haldane models) and explicitly establish the bulk-boundary correspondences. We show that an appropriately defined Chern number accurately maps out all the possible phases of the system and remains well defined even in the presence of degeneracies in the occupied bands. Importantly, our result paves the way for realizing adiabatic preparation of monolayer Chern insulators. This has been a major challenge to date, given the impossibility of unitarily connecting inequivalent topological phases. We show that this difficulty can be circumvented by adiabatically varying the interlayer coupling in such a way that the system remains gapped at all times. In particular, complete knowledge of the phase diagram of the bilayer composite immediately allows one to identify all such adiabatic passages which may connect the different Chern inequivalent phases of the individual monolayers.

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Robust Multiplexing with Topolectrical Higher-Order Chern Insulators

Cited by 28 publications

References 39 publications

Higher-Order Semimetals and Chiral Hinge States in Topolectrical Circuit Model

Higher-Order Semimetals and Chiral Hinge States in Topolectrical Circuit Model

Untying links through anti-parity-time-symmetric coupling

Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases

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