Circuit model for hybridization modes in metamaterials and its analogy to the quantum tight‐binding model

Nakata, Yukihiko; Okada, T.; Nakanishi, Toshihiro; Kitano, Masao

doi:10.1002/pssb.201248154

Cited by 22 publications

(11 citation statements)

References 39 publications

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“…We follow the method given in Ref. 55 , where the periodical circuit lattice problem is transformed into a tight-binding-like model in the momentum space. This approach relies on an analogy between Kirchhoff current equation in periodic circuit lattice and the quantum mechanics with periodic crystalline structure, from which the circuit band structure arises in a manner analogous to electronic band structure in crystals.…”

Section: Models and Theoretical Frameworkmentioning

confidence: 99%

Topological Nodal States in Circuit Lattice

2018

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The search for artificial structure with tunable topological properties is an interesting research direction of today’s topological physics. Here, we introduce a scheme to realize topological nodal states with a three-dimensional periodic inductor-capacitor (LC) circuit lattice, where the topological nodal line state and Weyl state can be achieved by tuning the parameters of inductors and capacitors. A tight-binding-like model is derived to analyze the topological properties of the LC circuit lattice. The key characters of the topological states, such as the drumhead-like surface bands for nodal line state and the Fermi arc-like surface bands for Weyl state, are found in these systems. We also show that the Weyl points are stable with the fabrication errors of electric devices.

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Section: Models and Theoretical Frameworkmentioning

confidence: 99%

Topological Nodal States in Circuit Lattice

2018

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“…Circuit network theory is a common way to model metamaterial properties [36][37][38][39][40][41][42]. Equation (2) and the structure depicted in Fig.…”

Section: Electrodynamic Model For Field-matter Interactionmentioning

confidence: 99%

Electrodynamic modeling of strong coupling between a metasurface and intersubband transitions in quantum wells

et al. 2014

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Strong light-matter coupling has recently been demonstrated in subwavelength volumes by coupling engineered optical transitions in semiconductor heterostructures (e.g., quantum wells) to metasurface resonances via near fields. It has also been shown that different resonator shapes may lead to different Rabi splittings, though this has not yet been well explained. In this paper, our aim is to understand the correlation between resonator shape and Rabi splitting, in particular to determine and quantify the physical parameters that affect strong coupling by developing an equivalent circuit network model whose elements describe energy and dissipation. Because of the subwavelength dimension of each metasurface element, we resort to the quasistatic (electrostatic) description of the near field and hence define an equivalent capacitance associated to each dipolar element of a flat metasurface. We show that this is also able to accurately model the phenomenology involved in strong coupling between the metasurface and the intersubband transitions in quantum wells. We show that the spectral properties and stored energy of a metasurface/quantum-well system obtained using our model are in good agreement with both full-wave simulation and experimental results. We then analyze metasurfaces made of three resonator geometries and observe that the magnitude of the Rabi splitting increases with the resonator capacitance in agreement with our theory, providing a phenomenological explanation for the resonator shape dependence of the strong coupling process.

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“…In previous work [16], utilizing electrical circuit models, we showed that the dispersion relations of metal structures with various lattice symmetries have flat bands. We confirmed the formation of the electromagnetic flat bands for a metallic kagomé lattice by illumination of propagating waves theoretically and experimentally [17].…”

Section: Introductionmentioning

confidence: 97%

Observation of a nonradiative flat band for spoof surface plasmons in a metallic Lieb lattice

et al. 2016

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We demonstrate a nonradiative flat band for spoof surface plasmon polaritons bounded on a structured surface with Lieb lattice symmetry in the terahertz regime. First, we theoretically derive the dispersion relation of spoof plasmons in a metallic Lieb lattice based on the electrical circuit model. We obtain three bands, one of which is independent of wave vector. To confirm the theoretical result, we numerically and experimentally observe the flat band in transmission and attenuated total reflection configurations. We reveal that the quality factor of the nonradiative flat band mode decoupled from the propagating wave is higher than that of the radiative flat band mode. This indicates that the nonradiative flat band mode is three-dimensionally confined in the lattice.

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Circuit model for hybridization modes in metamaterials and its analogy to the quantum tight‐binding model

Cited by 22 publications

References 39 publications

Topological Nodal States in Circuit Lattice

Topological Nodal States in Circuit Lattice

Electrodynamic modeling of strong coupling between a metasurface and intersubband transitions in quantum wells

Observation of a nonradiative flat band for spoof surface plasmons in a metallic Lieb lattice

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