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1

Urban, Maximilian J., Chenqi Shen, Xiang-Tian Kong, Chenggan Zhu, Alexander O. Govorov, Qiangbin Wang, Mario Hentschel i Na Liu. "Chiral Plasmonic Nanostructures Enabled by Bottom-Up Approaches". Annual Review of Physical Chemistry 70, nr 1 (14.06.2019): 275–99. http://dx.doi.org/10.1146/annurev-physchem-050317-021332.

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We present a comprehensive review of recent developments in the field of chiral plasmonics. Significant advances have been made recently in understanding the working principles of chiral plasmonic structures. With advances in micro- and nanofabrication techniques, a variety of chiral plasmonic nanostructures have been experimentally realized; these tailored chiroptical properties vastly outperform those of their molecular counterparts. We focus on chiral plasmonic nanostructures created using bottom-up approaches, which not only allow for rational design and fabrication but most intriguingly in many cases also enable dynamic manipulation and tuning of chiroptical responses. We first discuss plasmon-induced chirality, resulting from the interaction of chiral molecules with plasmonic excitations. Subsequently, we discuss intrinsically chiral colloids, which give rise to optical chirality owing to their chiral shapes. Finally, we discuss plasmonic chirality, achieved by arranging achiral plasmonic particles into handed configurations on static or active templates. Chiral plasmonic nanostructures are very promising candidates for real-life applications owing to their significantly larger optical chirality than natural molecules. In addition, chiral plasmonic nanostructures offer engineerable and dynamic chiroptical responses, which are formidable to achieve in molecular systems. We thus anticipate that the field of chiral plasmonics will attract further widespread attention in applications ranging from enantioselective analysis to chiral sensing, structural determination, and in situ ultrasensitive detection of multiple disease biomarkers, as well as optical monitoring of transmembrane transport and intracellular metabolism.
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2

Toffoli, Daniele, Marco Medves, Giovanna Fronzoni, Emanuele Coccia, Mauro Stener, Luca Sementa i Alessandro Fortunelli. "Plasmonic Circular Dichroism in Chiral Gold Nanowire Dimers". Molecules 27, nr 1 (24.12.2021): 93. http://dx.doi.org/10.3390/molecules27010093.

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We report a computational study at the time-dependent density functional theory (TDDFT) level of the chiro-optical spectra of chiral gold nanowires coupled in dimers. Our goal is to explore whether it is possible to overcome destructive interference in single nanowires that damp chiral response in these systems and to achieve intense plasmonic circular dichroism (CD) through a coupling between the nanostructures. We predict a huge enhancement of circular dichroism at the plasmon resonance when two chiral nanowires are intimately coupled in an achiral relative arrangement. Such an effect is even more pronounced when two chiral nanowires are coupled in a chiral relative arrangement. Individual component maps of rotator strength, partial contributions according to the magnetic dipole component, and induced densities allow us to fully rationalize these findings, thus opening the way to the field of plasmonic CD and its rational design.
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3

Song, Justin C. W., i Mark S. Rudner. "Chiral plasmons without magnetic field". Proceedings of the National Academy of Sciences 113, nr 17 (11.04.2016): 4658–63. http://dx.doi.org/10.1073/pnas.1519086113.

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Plasmons, the collective oscillations of interacting electrons, possess emergent properties that dramatically alter the optical response of metals. We predict the existence of a new class of plasmons—chiral Berry plasmons (CBPs)—for a wide range of 2D metallic systems including gapped Dirac materials. As we show, in these materials the interplay between Berry curvature and electron–electron interactions yields chiral plasmonic modes at zero magnetic field. The CBP modes are confined to system boundaries, even in the absence of topological edge states, with chirality manifested in split energy dispersions for oppositely directed plasmon waves. We unveil a rich CBP phenomenology and propose setups for realizing them, including in anomalous Hall metals and optically pumped 2D Dirac materials. Realization of CBPs will offer a powerful paradigm for magnetic field-free, subwavelength optical nonreciprocity, in the mid-IR to terahertz range, with tunable splittings as large as tens of THz, as well as sensitive all-optical diagnostics of topological bands.
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4

Li, Jianmei, Jingyi Liu, Zirui Guo, Zeyu Chang i Yang Guo. "Engineering Plasmonic Environments for 2D Materials and 2D-Based Photodetectors". Molecules 27, nr 9 (28.04.2022): 2807. http://dx.doi.org/10.3390/molecules27092807.

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Two-dimensional layered materials are considered ideal platforms to study novel small-scale optoelectronic devices due to their unique electronic structures and fantastic physical properties. However, it is urgent to further improve the light–matter interaction in these materials because their light absorption efficiency is limited by the atomically thin thickness. One of the promising approaches is to engineer the plasmonic environment around 2D materials for modulating light–matter interaction in 2D materials. This method greatly benefits from the advances in the development of nanofabrication and out-plane van der Waals interaction of 2D materials. In this paper, we review a series of recent works on 2D materials integrated with plasmonic environments, including the plasmonic-enhanced photoluminescence quantum yield, strong coupling between plasmons and excitons, nonlinear optics in plasmonic nanocavities, manipulation of chiral optical signals in hybrid nanostructures, and the improvement of the performance of optoelectronic devices based on composite systems.
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5

Li, Feng, Skandan Chandrasekar, Aftab Ahmed i Anna Klinkova. "Interparticle gap geometry effects on chiroptical properties of plasmonic nanoparticle assemblies". Nanotechnology 33, nr 12 (28.12.2021): 125203. http://dx.doi.org/10.1088/1361-6528/ac3f12.

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Abstract Chiral linear assemblies of plasmonic nanoparticles with chiral optical activity often show low asymmetry factors. Systematic understanding of the structure-property relationship in these systems must be improved to facilitate rational design of their chiroptical response. Here we study the effect of large area interparticle gaps in chiral linear nanoparticle assemblies on their chiroptical properties using a tetrahelix structure formed by a linear face-to-face assembly of nanoscale Au tetrahedra. Using finite-difference time-domain and finite element methods, we performed in-depth evaluation of the extinction spectra and electric field distribution in the tetrahelix structure and its dependence on various geometric parameters. The reported structure supports various plasmonic modes, one of which shows a strong incident light handedness selectivity that is associated with large face-to-face junctions. This works highlights the importance of gap engineering in chiral plasmonic assemblies to achieve g-factors greater than 1 and produce structures with a handedness-selective optical response.
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6

Chen, Zhao, Yaolun Yu, Yilin Wang, Zhiling Hou i Li Yu. "Plasmon-Induced Transparency for Tunable Atom Trapping in a Chiral Metamaterial Structure". Nanomaterials 12, nr 3 (1.02.2022): 516. http://dx.doi.org/10.3390/nano12030516.

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Plasmon-induced transparency (PIT), usually observed in plasmonic metamaterial structure, remains an attractive topic for research due to its unique optical properties. However, there is almost no research on using the interaction of plasmonic metamaterial and high refractive index dielectric to realize PIT. Here, we report a novel nanophotonics system that makes it possible to realize PIT based on guided-mode resonance and numerically demonstrate its transmission and reflection characteristics by finite element method simulations. The system is composed of a high refractive-index dielectric material and a two-dimensional metallic photonic crystal with 4-fold asymmetric holes. The interaction mechanism of the proposed structure is analyzed by the coupled-mode theory, and the effects of the parameters on PIT are investigated in detail. In addition, we first consider this PIT phenomenon of such fields on atom trapping (87Rb), and the results show that a stable 3D atom trapping with a tunable range of position of about ~17 nm is achieved. Our work provides a novel, efficient way to realize PIT, and it further broadens the application of plasmonic metamaterial systems.
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7

A. Paiva-Marques, Willian, Faustino Reyes Gómez, Osvaldo N. Oliveira i J. Ricardo Mejía-Salazar. "Chiral Plasmonics and Their Potential for Point-of-Care Biosensing Applications". Sensors 20, nr 3 (10.02.2020): 944. http://dx.doi.org/10.3390/s20030944.

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There has been growing interest in using strong field enhancement and light localization in plasmonic nanostructures to control the polarization properties of light. Various experimental techniques are now used to fabricate twisted metallic nanoparticles and metasurfaces, where strongly enhanced chiral near-fields are used to intensify circular dichroism (CD) signals. In this review, state-of-the-art strategies to develop such chiral plasmonic nanoparticles and metasurfaces are summarized, with emphasis on the most recent trends for the design and development of functionalizable surfaces. The major objective is to perform enantiomer selection which is relevant in pharmaceutical applications and for biosensing. Enhanced sensing capabilities are key for the design and manufacture of lab-on-a-chip devices, commonly named point-of-care biosensing devices, which are promising for next-generation healthcare systems.
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8

Cheng, Haowei, Kun Liang, Xuyan Deng, Lei Jin, Jingcheng Shangguan, Jiasen Zhang, Jiaqi Guo i Li Yu. "Optical Chirality of Gold Chiral Helicoid Nanoparticles in the Strong Coupling Region". Photonics 10, nr 3 (27.02.2023): 251. http://dx.doi.org/10.3390/photonics10030251.

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The far- and near-field chirality properties are usually characterized by circular dichroism (CD) and optical chirality (OC), respectively. As a light–matter interaction for the hybrid states consisting of plasmons and excitons, the strong coupling interactions can affect the original chiral electromagnetic modes. However, there are few works on this influence process, which prevents an in-depth understanding of chirality. Here, we theoretically investigate both the far-field and near-field characteristics of the chiral plasmonic gold helicoid nanoparticle (GHNP) to explore the chirality mechanism further. We found that the electromagnetic field distribution of GHNP consists of one dark mode and two bright modes. The dark mode is observed more clearly in CD than in extinction spectra. Two bright modes can strongly couple with excitons respectively, which is confirmed by the anticrossing behavior and mode splitting exhibited in the extinction and CD spectra. We also analyzed the near-field OC distribution of the GHNP hybrid system and obtained the chiral responses as well as the spectral correspondence between OC and CD. Furthermore, although the strong coupling interaction changes the energy levels, resulting in mode splitting, the chiral hotspot distributions of both the upper polariton branch and lower polariton branch are consistent with the original bright mode in OC maps. Our findings provide guidance for the design of structures with strong chiral responses and enhance the comprehension of chiral strong coupling systems.
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9

Feng, Hua Yu, Carolina de Dios, Fernando García, Alfonso Cebollada i Gaspar Armelles. "Analysis and magnetic modulation of chiro-optical properties in anisotropic chiral and magneto-chiral plasmonic systems". Optics Express 25, nr 25 (28.11.2017): 31045. http://dx.doi.org/10.1364/oe.25.031045.

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10

Zhu, Jinjin, Fan Wu, Zihong Han, Yingxu Shang, Fengsong Liu, Haiyin Yu, Li Yu, Na Li i Baoquan Ding. "Strong Light–Matter Interactions in Chiral Plasmonic–Excitonic Systems Assembled on DNA Origami". Nano Letters 21, nr 8 (8.04.2021): 3573–80. http://dx.doi.org/10.1021/acs.nanolett.1c00596.

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11

Proctor, Matthew, Xiaofei Xiao, Richard V. Craster, Stefan A. Maier, Vincenzo Giannini i Paloma Arroyo Huidobro. "Near- and Far-Field Excitation of Topological Plasmonic Metasurfaces". Photonics 7, nr 4 (24.09.2020): 81. http://dx.doi.org/10.3390/photonics7040081.

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The breathing honeycomb lattice hosts a topologically non-trivial bulk phase due to the crystalline-symmetry of the system. Pseudospin-dependent edge states, which emerge at the interface between trivial and non-trivial regions, can be used for the directional propagation of energy. Using the plasmonic metasurface as an example system, we probe these states in the near- and far-field using a semi-analytical model. We provide the conditions under which directionality was observed and show that it is source position dependent. By probing with circularly-polarised magnetic dipoles out of the plane, we first characterise modes along the interface in terms of the enhancement of source emissions due to the metasurface. We then excite from the far-field with non-zero orbital angular momentum beams. The position-dependent directionality holds true for all classical wave systems with a breathing honeycomb lattice. Our results show that a metasurface in combination with a chiral two-dimensional material, could be used to guide light effectively on the nanoscale.
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12

Li, Lianmeng, Xiangyu Zeng, Manna Gu, Yuqin Zhang, Rui Sun, Ziheng Zhang, Guosen Cui, Yuxiang Zhou, Chuanfu Cheng i Chunxiang Liu. "Plasmonic Metasurfaces for Superposition of Profile-Tunable Tightly Focused Vector Beams and Generation of the Structured Light". Photonics 10, nr 3 (15.03.2023): 317. http://dx.doi.org/10.3390/photonics10030317.

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Vector beams (VBs) and their superposition have found important applications in versatile fields such as optical communications, super-resolution microscopy and quantum information, and metasurfaces have enabled the miniaturization and integration of the optical systems manipulating the vector beams, providing potential applications to subwavelength regimes. In this work, we propose a metasurface to realize the superposition of profile-tunable tightly focused VBs, with the novel structured light fields generated. The metasurface is composed of two sets of orthogonal-nanoslit pairs arranged on the inner and outer rings. By realizing the chiral conversion of circularly polarized light with the slit-pairs which act as half-wave plates, and by creating helical phase profiles of optical vortices with the geometrical phase of rotational nano-slit pairs, two focused Bessel VBs are formed. By finely varying the diameters of two sets of rings, the doughnuts of the two Bessel VBs of different orders are tuned to be of the same size, and the superposition of the two VBs is realized. The theoretical analyses of the superimposed fields were presented, the FDTD simulations were performed to optimize the designed metasurfaces, and the experimental measurements were carried out to validate feasibility of the metasurface. The novel and interesting characteristics of the superposed fields different from those of the conventional VBs were demonstrated. This work will be of significance for classical and quantum applications of VBs in various fields.
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13

González-Rubio, Guillermo, Jesús Mosquera, Vished Kumar, Adrián Pedrazo-Tardajos, Pablo Llombart, Diego M. Solís, Ivan Lobato i in. "Micelle-directed chiral seeded growth on anisotropic gold nanocrystals". Science 368, nr 6498 (25.06.2020): 1472–77. http://dx.doi.org/10.1126/science.aba0980.

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Surfactant-assisted seeded growth of metal nanoparticles (NPs) can be engineered to produce anisotropic gold nanocrystals with high chiroptical activity through the templating effect of chiral micelles formed in the presence of dissymmetric cosurfactants. Mixed micelles adsorb on gold nanorods, forming quasihelical patterns that direct seeded growth into NPs with pronounced morphological and optical handedness. Sharp chiral wrinkles lead to chiral plasmon modes with high dissymmetry factors (~0.20). Through variation of the dimensions of chiral wrinkles, the chiroptical properties can be tuned within the visible and near-infrared electromagnetic spectrum. The micelle-directed mechanism allows extension to other systems, such as the seeded growth of chiral platinum shells on gold nanorods. This approach provides a reproducible, simple, and scalable method toward the fabrication of NPs with high chiral optical activity.
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14

Pedrueza-Villalmanzo, Esteban, Francesco Pineider i Alexandre Dmitriev. "Perspective: plasmon antennas for nanoscale chiral chemistry". Nanophotonics 9, nr 2 (25.02.2020): 481–89. http://dx.doi.org/10.1515/nanoph-2019-0430.

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AbstractPlasmon nanoantennas are extensively used with molecular systems for chemical and biological ultra-sensing, for boosting the molecular emissive and energy transfer properties, for nanoscale catalysis, and for building advanced hybrid nanoarchitectures. In this perspective, we focus on the latest developments of using plasmon nanoantennas for nanoscale chiral chemistry and for advancing molecular magnetism. We overview the decisive role nanoplasmonics and nano-optics can play in achieving chirally selective molecular synthesis and separation and the way such processes might be precisely controlled by potentially merging chirality and magnetism at the molecular scale. We give our view on how these insights might lead to the emergence of exciting new fundamental concepts in nanoscale materials science.
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15

Shen, Jinyong, Tianyun Zhu, Jing Zhou, Zeshi Chu, Xiansong Ren, Jie Deng, Xu Dai i in. "High-Discrimination Circular Polarization Detection Based on Dielectric-Metal-Hybrid Chiral Metamirror Integrated Quantum Well Infrared Photodetectors". Sensors 23, nr 1 (24.12.2022): 168. http://dx.doi.org/10.3390/s23010168.

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Circular polarization detection enables a wide range of applications. With the miniaturization of optoelectronic systems, integrated circular polarization detectors with native sensitivity to the spin state of light have become highly sought after. The key issues with this type of device are its low circular polarization extinction ratios (CPERs) and reduced responsivities. Metallic two-dimensional chiral metamaterials have been integrated with detection materials for filterless circular polarization detection. However, the CPERs of such devices are typically below five, and the light absorption in the detection materials is hardly enhanced and is even sometimes reduced. Here, we propose to sandwich multiple quantum wells between a dielectric two-dimensional chiral metamaterial and a metal grating to obtain both a high CPER and a photoresponse enhancement. The dielectric-metal-hybrid chiral metamirror integrated quantum well infrared photodetector (QWIP) exhibits a CPER as high as 100 in the long wave infrared range, exceeding all reported CPERs for integrated circular polarization detectors. The absorption efficiency of this device reaches 54%, which is 17 times higher than that of a standard 45° edge facet coupled device. The circular polarization discrimination is attributed to the interference between the principle-polarization radiation and the cross-polarization radiation of the chiral structure during multiple reflections and the structure-material double polarization selection. The enhanced absorption efficiency is due to the excitation of a surface plasmon polariton wave. The dielectric-metal-hybrid chiral mirror structure is compatible with QWIP focal plane arrays.
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16

DUCOURTIEUX, S., S. GRÉSILLON, A. C. BOCCARA, J. C. RIVOAL, X. QUELIN, P. GADENNE, V. P. DRACHEV i in. "PERCOLATION AND FRACTAL COMPOSITES: OPTICAL STUDIES". Journal of Nonlinear Optical Physics & Materials 09, nr 01 (marzec 2000): 105–16. http://dx.doi.org/10.1142/s0218863500000108.

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Local field distributions are studied in random metal–dielectric films near percolation (percolation films) and fractal aggregates of colloidal particles. For both systems, it is shown that optical excitations are localized in small nanometer-scale areas, "hot spots," where the local fields are much larger than the field of an incident electromagnetic wave. The large local fields result in giant enhancement of various optical phenomena. The surface-enhanced white-light generation and second-harmonic generation have been obtained in percolation films. For fractal aggregates of silver particles, a giant effect of local optical activity has been observed. The effect is due to surface-plasmon excitations localized on chiral-active particle configurations in fractals.
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17

Sadeghi, Seyed M., i Judy Z. Wu. "Intervalley Quantum Coherence Transfer and Coherently-Induced Chiral Plasmon Fields in WS2–Metallic Nanoantenna Systems". ACS Photonics 6, nr 10 (24.09.2019): 2441–49. http://dx.doi.org/10.1021/acsphotonics.9b00672.

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18

Shan, Lingxiao, Fan Zhang, Juanjuan Ren, Qi Zhang, Qihuang Gong i Ying Gu. "Large Purcell enhancement with nanoscale non-reciprocal photon transmission in chiral gap-plasmon-emitter systems". Optics Express 28, nr 23 (26.10.2020): 33890. http://dx.doi.org/10.1364/oe.404166.

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19

Chen, Xudong, Qihui Ye, Mingyuan Sun, Gang Song, Song Wang i Yanzhu Hu. "Chirality of Dispersion Relations and Propagation Lengths of Surface Plasmon Polaritons in Single Silver Nanowire Coated with Chiral TDBC Systems". Plasmonics 16, nr 4 (25.02.2021): 1357–63. http://dx.doi.org/10.1007/s11468-021-01416-7.

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Itas, Yahaya Saadu, Abdussalam Balarabe Suleiman, Chifu E. Ndikilar, Abdullahi Lawal, Razif Razali, Ismail Ibrahim Idowu, Mayeen Uddin Khandaker i in. "Computational Studies of the Excitonic and Optical Properties of Armchair SWCNT and SWBNNT for Optoelectronics Applications". Crystals 12, nr 6 (20.06.2022): 870. http://dx.doi.org/10.3390/cryst12060870.

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In this study, the optical refractive constants of the (5, 5) SWBNNT and (5, 5) SWCNT systems were calculated in both parallel and perpendicular directions of the tube axis by using Quantum ESPRESSO and YAMBO code. It also extended the optical behaviors of (5, 5) SWCNT and (5, 5) SWBNNT to both perpendicular and parallel directions instead of the parallel directions reported in the literature. It also looked at the effects of the diameter of the nanotube on the optical properties instead of chiral angles. From our results, the best optical reflection was found for (5, 5) SWBNNT, while the best optical refraction was found with (5, 5) SWCNT. It was observed that the SWCNT demonstrates refraction in both parallel and perpendicular directions, while (5, 5) SWBNNT shows perfect absorption in perpendicular direction. These new features that appeared for both nanotubes in perpendicular directions were due to new optical band gaps, which appear in the perpendicular directions to both nanotubes’ axis. The electron energy loss (EEL) spectrum of SWBNNT revealed the prominent π- and π + δ- Plasmon peaks, which demonstrates themselves in the reflectivity spectrum. Furthermore, little effect of diameter was observed for the perpendicular direction to both nanotubes’ axis; as such, the combined properties of (5, 5) SWBNNT and (5, 5) SWCNT materials/systems for transmitting light offer great potential for applications in mobile phone touch screens and mobile network antennas. In addition, the studies of optical properties in the perpendicular axis will help bring ultra-small nanotubes such as SWCNT and SWBNNT to the applications of next-generation nanotechnology.
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21

Tadgell, Ben, i Luis M. Liz-Marzán. "Probing Interactions Between Chiral Plasmonic Nanoparticles and Biomolecules". Chemistry – A European Journal, 15.08.2023. http://dx.doi.org/10.1002/chem.202301691.

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Chiral plasmonic nanoparticles (and their assemblies) interact with biomolecules in a variety of different ways, resulting in distinct optical signatures when probed using circular dichroism spectroscopy. These systems show promise for biosensing applications and offer several advantages over achiral plasmonic systems. Arguably, the most notable advantage is that chiral nanoparticles can differentiate between molecular enantiomers and can, therefore, act as sensors for enantiomeric purity. Furthermore, chiral nanoparticles can couple more effectively to chiral biomolecules in biological systems if they have a matching handedness, improving their effectiveness as biomedical agents. In this article, we review the different types of interactions that occur between chiral plasmonic nanoparticle systems and biomolecules, discuss how circular dichroism spectroscopy can probe these interactions, and inform how to optimize systems for biosensing and biomedical applications.
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22

Margetis, Dionisios, i Tobias Stauber. "Theory of plasmonic edge states in chiral bilayer systems". Physical Review B 104, nr 11 (20.09.2021). http://dx.doi.org/10.1103/physrevb.104.115422.

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23

Dai, Mingjin, Chongwu Wang, Bo Qiang, Fakun Wang, Ming Ye, Song Han, Yu Luo i Qi Jie Wang. "On-chip mid-infrared photothermoelectric detectors for full-Stokes detection". Nature Communications 13, nr 1 (5.08.2022). http://dx.doi.org/10.1038/s41467-022-32309-w.

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AbstractOn-chip polarimeters are highly desirable for the next-generation ultra-compact optical and optoelectronic systems. Polarization-sensitive photodetectors relying on anisotropic absorption of natural/artificial materials have emerged as a promising candidate for on-chip polarimeters owing to their filterless configurations. However, these photodetectors can only be applied for detection of either linearly or circularly polarized light, not applicable for full-Stokes detection. Here, we propose and demonstrate three-ports polarimeters comprising on-chip chiral plasmonic metamaterial-mediated mid-infrared photodetectors for full-Stokes detection. By manipulating the spatial distribution of chiral metamaterials, we could convert polarization-resolved absorptions to corresponding polarization-resolved photovoltages of three ports through the photothermoelectric effect. We utilize the developed polarimeter in an imaging demonstration showing reliable ability for polarization reconstruction. Our work provides an alternative strategy for developing polarization-resolved photodetectors with a bandgap-independent operation range in the mid-infrared.
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24

Ahn, Seongjin, E. H. Hwang i Hongki Min. "Collective modes in multi-Weyl semimetals". Scientific Reports 6, nr 1 (30.09.2016). http://dx.doi.org/10.1038/srep34023.

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Abstract We investigate collective modes in three dimensional (3D) gapless multi-Weyl semimetals with anisotropic energy band dispersions (i.e., "Equation missing" with a positive integer J). For comparison, we also consider the gapless semimetals with the isotropic band dispersions (i.e. E ~ k J ). We calculate analytically long-wavelength plasma frequencies incorporating interband transitions and chiral properties of carriers. For both the isotropic and anisotropic cases, we find that interband transitions and chirality lead to the depolarization shift of plasma frequencies. For the isotropic parabolic band dispersion the long-wavelength plasmons do not decay via Landau damping, while for the higher-order band dispersions the long-wavelength plasmons experience damping below a critical density. For systems with the anisotropic dispersion the density dependence of the long-wavelength plasma frequency along the direction of non-linear dispersion behaves like that of the isotropic linear band model, while along the direction of linear dispersion it behaves like that of the isotropic non-linear model. Plasmons along both directions remain undamped over a broad range of densities due to the chirality induced depolarization shift. Our results provide a comprehensive picture of how band dispersion and chirality affect plasmon behaviors in 3D gapless chiral systems with the arbitrary band dispersion.
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Kumar, Anshuman, Andrei Nemilentsau, Kin Hung Fung, George Hanson, Nicholas X. Fang i Tony Low. "Chiral plasmon in gapped Dirac systems". Physical Review B 93, nr 4 (19.01.2016). http://dx.doi.org/10.1103/physrevb.93.041413.

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Heyl, M., S. Kehrein, F. Marquardt i C. Neuenhahn. "Electron-plasmon scattering in chiral one-dimensional systems with nonlinear dispersion". Physical Review B 82, nr 3 (20.07.2010). http://dx.doi.org/10.1103/physrevb.82.033409.

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