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Nguyen DT, Nolan DA, Borrelli NF. Localized quantum walks in quasi-periodic Fibonacci arrays of waveguides. OPTICS EXPRESS 2019; 27:886-898. [PMID: 30696167 DOI: 10.1364/oe.27.000886] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/08/2018] [Accepted: 11/27/2018] [Indexed: 06/09/2023]
Abstract
New quasi-periodic arrays of waveguides (AWs) constructed with Fibonacci sequences are proposed to realize localized quantum walks (LQWs). The proposed Fibonacci arrays of waveguides (FAWs) are simple and straightforward to make, but have a rich set of properties that are of potential use for applications in quantum communication. Our simulations show that, in contrast with randomly disordered AWs, LQWs in FAWs are highly controllable due to the deterministic disorder nature of quasi-periodic systems. Furthermore, unique LQWs with symmetrical probability distribution can be conveniently realized in the FAWs.
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2
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Fractional Transport of Photons in Deterministic Aperiodic Structures. Sci Rep 2017; 7:2259. [PMID: 28536441 PMCID: PMC5442164 DOI: 10.1038/s41598-017-02170-9] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/15/2017] [Accepted: 04/26/2017] [Indexed: 11/30/2022] Open
Abstract
The propagation of optical pulses through primary types of deterministic aperiodic structures is numerically studied in time domain using the rigorous transfer matrix method in combination with analytical fractional transport models. We demonstrate tunable anomalous photon transport, including the elusive logarithmic Sinai sub-diffusion in photonic systems for the first time. Our results are in excellent agreement with the scaling theory of transport in aperiodic media with fractal spectra, and additionally demonstrate logarithmic sub-diffusion in the presence of multifractality. Moreover, we establish a fruitful connection between tunable photon diffusion and fractional dynamics, which provides analytical insights into the asymptotic transport regime of optical media with deterministic aperiodic order. The demonstration of tunable sub-diffusion and logarithmic photon transport in deterministic aperiodic structures can open novel and fascinating scenarios for the engineering of wave propagation and light-matter interaction phenomena beyond the conventional diffusive regime.
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3
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Structural and Spectral Properties of Deterministic Aperiodic Optical Structures. CRYSTALS 2016. [DOI: 10.3390/cryst6120161] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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4
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Koju V, Robertson WM. Excitation of Bloch-like surface waves in quasi-crystals and aperiodic dielectric multilayers. OPTICS LETTERS 2016; 41:2915-2918. [PMID: 27367064 DOI: 10.1364/ol.41.002915] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The existence of Bloch surface waves in periodic dielectric multilayer structures with a surface defect is well known. Not yet recognized is that quasi-crystals and aperiodic dielectric multilayers can also support Bloch-like surface waves. In this work, we numerically show the excitation of Bloch-like surface waves in Fibonacci quasi-crystals and Thue-Morse aperiodic dielectric multilayers using the prism coupling method. We report improved surface electric field intensity and penetration depth of Bloch-like surface waves in the air side in such structures compared to their periodic counterparts.
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Barriuso AG, Monzón JJ, Yonte T, Felipe A, Sánchez-Soto LL. Omnidirectional reflection from generalized Fibonacci quasicrystals. OPTICS EXPRESS 2013; 21:30039-30053. [PMID: 24514554 DOI: 10.1364/oe.21.030039] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
We determine the optimal thicknesses for which omnidirectional reflection from generalized Fibonacci quasicrystals occurs. By capitalizing on the idea of wavelength- and angle-averaged reflectance, we assess in a consistent way the performance of the different systems. Our results indicate that some of these aperiodic arrangements can largely over-perform the conventional photonic crystals as omnidirectional reflection is concerned.
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Petti L, Rippa M, Zhou J, Manna L, Zanella M, Mormile P. Novel hybrid organic/inorganic 2D quasiperiodic PC: from diffraction pattern to vertical light extraction. NANOSCALE RESEARCH LETTERS 2011; 6:371. [PMID: 21711884 PMCID: PMC3211462 DOI: 10.1186/1556-276x-6-371] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/21/2011] [Accepted: 05/04/2011] [Indexed: 05/27/2023]
Abstract
Recently, important efforts have been dedicated to the realization of a fascinating class of new photonic materials or metamaterials, known as photonic quasicrystals (PQCs), in which the lack of the translational symmetry is compensated by rotational symmetries not achievable by the conventional periodic crystals. As ever, more advanced functionality is demanded and one strategy is the introduction of non-linear and/or active functionality in photonic materials. In this view, core/shell nanorods (NRs) are a promising active material for light-emitting applications. In this article a two-dimensional (2D) hybrid a 2D octagonal PQC which consists of air rods in an organic/inorganic nanocomposite is proposed and experimentally demonstrated. The nanocomposite was prepared by incorporating CdSe/CdS core/shell NRs into a polymer matrix. The PQC was realized by electron beam lithography (EBL) technique. Scanning electron microscopy, far field diffraction and spectra measurements are used to characterize the experimental structure. The vertical extraction of the light, by the coupling of the modes guided by the PQC slab to the free radiation via Bragg scattering, consists of a narrow red emissions band at 690 nm with a full width at half-maximum (FWHM) of 21.5 nm. The original characteristics of hybrid materials based on polymers and colloidal NRs, able to combine the unique optical properties of the inorganic moiety with the processability of the host matrix, are extremely appealing in view of their technological impact on the development of new high performing optical devices such as organic light-emitting diodes, ultra-low threshold lasers, and non-linear devices.PACS: 81.07.Pr Organic-inorganic hybrid nanostructures, 81.16.-c Methods of nanofabrication and processing, 42.70.Qs Photonic band-gap materials.
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Affiliation(s)
- Lucia Petti
- Institute of Cybernetics "E. Caianiello" of CNR, Via Campi Flegrei 34, 80072 Pozzuoli, Italy
| | - Massimo Rippa
- Institute of Cybernetics "E. Caianiello" of CNR, Via Campi Flegrei 34, 80072 Pozzuoli, Italy
| | - Jun Zhou
- Institute of Photonics, Faculty of Science, Ningbo University, Ningbo, Zhejiang 315211, China
| | - Liberato Manna
- Fondazione Istituto Italiano di Tecnologia, via Morego 30, 16163, Genova, Italy
| | - Marco Zanella
- Fondazione Istituto Italiano di Tecnologia, via Morego 30, 16163, Genova, Italy
| | - Pasquale Mormile
- Institute of Cybernetics "E. Caianiello" of CNR, Via Campi Flegrei 34, 80072 Pozzuoli, Italy
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Spatial and spectral detection of protein monolayers with deterministic aperiodic arrays of metal nanoparticles. Proc Natl Acad Sci U S A 2010; 107:12086-90. [PMID: 20566892 DOI: 10.1073/pnas.1002849107] [Citation(s) in RCA: 47] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Light scattering phenomena in periodic systems have been investigated for decades in optics and photonics. Their classical description relies on Bragg scattering, which gives rise to constructive interference at specific wavelengths along well defined propagation directions, depending on illumination conditions, structural periodicity, and the refractive index of the surrounding medium. In this paper, by engineering multifrequency colorimetric responses in deterministic aperiodic arrays of nanoparticles, we demonstrate significantly enhanced sensitivity to the presence of a single protein monolayer. These structures, which can be readily fabricated by conventional Electron Beam Lithography, sustain highly complex structural resonances that enable a unique optical sensing approach beyond the traditional Bragg scattering with periodic structures. By combining conventional dark-field scattering micro-spectroscopy and simple image correlation analysis, we experimentally demonstrate that deterministic aperiodic surfaces with engineered structural color are capable of detecting, in the visible spectral range, protein layers with thickness of a few tens of Angstroms.
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Forestiere C, Walsh GF, Miano G, Dal Negro L. Nanoplasmonics of prime number arrays. OPTICS EXPRESS 2009; 17:24288-24303. [PMID: 20052140 DOI: 10.1364/oe.17.024288] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
In this paper, we investigate the plasmonic near-field localization and the far-field scattering properties of non-periodic arrays of Ag nanoparticles generated by prime number sequences in two spatial dimensions. In particular, we demonstrate that the engineering of plasmonic arrays with large spectral flatness and particle density is necessary to achieve a high density of electromagnetic hot spots over a broader frequency range and a larger area compared to strongly coupled periodic and quasi-periodic structures. Finally, we study the far-field scattering properties of prime number arrays illuminated by plane waves and we discuss their angular scattering properties. The study of prime number arrays of metal nanoparticles provides a novel strategy to achieve broadband enhancement and localization of plasmonic fields for the engineering of nanoscale nano-antenna arrays and active plasmonic structures.
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Affiliation(s)
- Carlo Forestiere
- Department of Electrical and Computer Engineering & Photonic Center, 8 Saint Mary's Street, Boston, MA 02215, USA
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Forestiere C, Miano G, Boriskina SV, Dal Negro L. The role of nanoparticle shapes and deterministic aperiodicity for the design of nanoplasmonic arrays. OPTICS EXPRESS 2009; 17:9648-9661. [PMID: 19506614 DOI: 10.1364/oe.17.009648] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
In this paper, we study the role of nanoparticle shape and aperiodic arrangement in the scattering and spatial localization properties of plasmonic modes in deterministic-aperiodic (DA) arrays of metal nanoparticles. By using an efficient coupled-dipole model for the study of the electromagnetic response of large arrays excited by an external field, we demonstrate that DA structures provide enhanced spatial localization of plasmonic modes and a higher density of enhanced field states with respect to their periodic counterparts. Finally, we introduce and discuss specific design rules for the engineering and optimization of field enhancement and localization in DA arrays. Our results, which we fully validated by rigorous Generalized Mie Theory (GMT) and transition matrix (T-matrix) theory, demonstrate that DA arrays provide a robust platform for the design of a variety of novel optical devices with enhanced and controllable plasmonic fields.
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Affiliation(s)
- Carlo Forestiere
- Department of Electrical and Computer Engineering & Photonics Center, Boston University, Boston, MA 02215, USA
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Boriskina SV, Gopinath A, Dal Negro L. Optical gap formation and localization properties of optical modes in deterministic aperiodic photonic structures. OPTICS EXPRESS 2008; 16:18813-18826. [PMID: 19581970 DOI: 10.1364/oe.16.018813] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
We theoretically investigate the spectral and localization properties of two-dimensional (2D) deterministic aperiodic (DA) arrays of photonic nanopillars characterized by singular continuous (Thue-Morse sequence) and absolutely continuous (Rudin-Shapiro sequence) Fourier spectra. A rigorous and efficient numerical technique based on the 2D Generalized Multiparticle Mie Theory is used to study the formation of optical gaps and the confinement properties of eigenmodes supported by DA photonic lattices. In particular, we demonstrate the coexistence of optical modes with various degrees of localization (localized, extended and critical) and show that in-plane and out-of-plane optical energy confinement of extended critical modes can be optimally balanced. These results make aperiodic photonic structures very attractive for the engineering of novel passive and active photonic devices, such as low-threshold microlasers, sensitive detectors and bio-chemical sensors.
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Affiliation(s)
- Svetlana V Boriskina
- Department of Electrical and Computer Engineering, Boston University, Boston, MA 20036, USA.
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11
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Boriskina SV, Dal Negro L. Sensitive label-free biosensing using critical modes in aperiodic photonic structures. OPTICS EXPRESS 2008; 16:12511-12522. [PMID: 18711487 DOI: 10.1364/oe.16.012511] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
In this paper, we introduce a novel approach for optical sensing based on the excitation of critically localized modes in two-dimensional deterministic aperiodic structures generated by a Rudin-Shapiro (RS) sequence. Based on a rigorous computational analysis, we demonstrate that RS photonic structures provide a large number of resonant modes better suited for sensing applications compared to traditional band-edge and defect-localized modes in periodic photonic structures. Finally, we show that enhanced sensitivity to refractive index variations as low as (delta)n=0.002 in RS structures results from the extended nature of critical modes and can enable the fabrication of novel label-free optical biosensors.
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Affiliation(s)
- Svetlana V Boriskina
- Department of Electrical and Computer Engineering, Boston University, Boston, MA 20036, USA.
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Gopinath A, Boriskina SV, Feng NN, Reinhard BM, Dal Negro L. Photonic-plasmonic scattering resonances in deterministic aperiodic structures. NANO LETTERS 2008; 8:2423-2431. [PMID: 18646833 DOI: 10.1021/nl8013692] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
In this paper, we combine experimental dark-field scattering spectroscopy and accurate electrodynamics calculations to investigate the scattering properties of two-dimensional plasmonic lattices based on the concept of aperiodic order. In particular, by discussing visible light scattering from periodic, Fibonacci, Thue-Morse and Rudin-Shapiro lattices fabricated by electron-beam lithography on transparent quartz substrates, we demonstrate that deterministic aperiodic Au nanoparticle arrays give rise to broad plasmonic resonances spanning the entire visible spectrum. In addition, we show that far-field diffractive coupling is responsible for the formation of characteristic photonic-plasmonic scattering modes in aperiodic arrays of metal nanoparticles. Accurate scattering simulations based on the generalized Mie theory approach support our experimental results. The possibility of engineering complex metal nanoparticle arrays with distinctive plasmonic resonances extending across the entire visible spectrum can have a significant impact on the design and fabrication of novel nanodevices based on broadband plasmonic enhancement.
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Affiliation(s)
- Ashwin Gopinath
- Department of Electrical and Computer Engineering, Boston University, Boston, Massachusetts 02215-2421, USA
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Negro LD, Feng NN, Gopinath A. Electromagnetic coupling and plasmon localization in deterministic aperiodic arrays. ACTA ACUST UNITED AC 2008. [DOI: 10.1088/1464-4258/10/6/064013] [Citation(s) in RCA: 62] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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14
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Albuquerque EL, Vasconcelos MS, Lyra ML, de Moura FABF. Nucleotide correlations and electronic transport of DNA sequences. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 71:021910. [PMID: 15783355 DOI: 10.1103/physreve.71.021910] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/20/2004] [Indexed: 05/24/2023]
Abstract
We use a tight-binding formulation to investigate the transmissivity and wave-packet dynamics of sequences of single-strand DNA molecules made up from the nucleotides guanine G , adenine A , cytosine C , and thymine T . In order to reveal the relevance of the underlying correlations in the nucleotides distribution, we compare the results for the genomic DNA sequence with those of two artificial sequences: (i) the Rudin-Shapiro one, which has long-range correlations; (ii) a random sequence, which is a kind of prototype of a short-range correlated system, presented here with the same first-neighbor pair correlations of the human DNA sequence. We found that the long-range character of the correlations is important to the persistence of resonances of finite segments. On the other hand, the wave-packet dynamics seems to be mostly influenced by the short-range correlations.
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Affiliation(s)
- E L Albuquerque
- Departamento de Física, Universidade Federal do Rio Grande do Norte, 59072-970 Natal-RN, Brazil
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15
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Johansson M, Hörnquist M, Riklund R. Effects of nonlinearity on the time evolution of single-site localized states in periodic and aperiodic discrete systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:231-240. [PMID: 9979596 DOI: 10.1103/physrevb.52.231] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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16
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Domínguez-Adame F, Maciá E, Sánchez A. Incoherent exciton trapping in self-similar aperiodic lattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:878-882. [PMID: 9978237 DOI: 10.1103/physrevb.51.878] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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17
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Ryu CS, Kim I, Oh GY, Lee MH. Localized and extended states in a deterministically aperiodic chain. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:14991-14995. [PMID: 10010602 DOI: 10.1103/physrevb.49.14991] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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18
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Johansson M, Riklund R. Solitonlike states in a one-dimensional nonlinear Schrödinger equation with a deterministic aperiodic potential. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:6587-6600. [PMID: 10009377 DOI: 10.1103/physrevb.49.6587] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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19
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Band-structural and Fourier-spectral properties of one-dimensional generalized Fibonacci lattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:12465-12477. [PMID: 10007613 DOI: 10.1103/physrevb.48.12465] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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20
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Ryu CS, Oh GY, Lee MH. Electronic properties of a tight-binding and a Kronig-Penney model of the Thue-Morse chain. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:132-141. [PMID: 10006760 DOI: 10.1103/physrevb.48.132] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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21
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Dulea M, Johansson M, Riklund R. Unusual scaling of the spectrum in a deterministic aperiodic tight-binding model. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:8547-8551. [PMID: 10004892 DOI: 10.1103/physrevb.47.8547] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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22
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Dulea M, Johansson M, Riklund R. Trace-map invariant and zero-energy states of the tight-binding Rudin-Shapiro model. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:3296-3304. [PMID: 10004045 DOI: 10.1103/physrevb.46.3296] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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