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Huang Z, Li J, Li P, Du L, Dai M, Cai J, Ren Z, Nie T, Wu X. Nanoscale ultrafast dynamics in Bi 2Te 3 thin film by terahertz scanning near-field nanoscopy. iScience 2025; 28:111840. [PMID: 39981518 PMCID: PMC11841264 DOI: 10.1016/j.isci.2025.111840] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/02/2024] [Revised: 11/22/2024] [Accepted: 01/16/2025] [Indexed: 02/22/2025] Open
Abstract
Ultrafast laser interactions with topological insulators (TIs) have garnered tremendous interest for understanding light-matter interactions and developing optoelectronic devices across visible to terahertz (THz) regions owning to their high carrier mobility and sensitivity to electric fields. In particular, within the THz regime, TIs hold considerable promise to realize advanced emitters, modulators, and detectors because of their fascinating ultrafast THz dynamics. However, a detailed understanding of TIs' THz dynamics necessitates access to both nanoscale and femtosecond timescale. By utilizing THz scattering-type scanning near-field optical microscopy, we investigated THz time-domain spectroscopy, optical-pump THz probe, and THz emission in TI thin films at nanoscale. We analyzed their static scattering characteristics, morphology, and observed THz emission and photocarrier dynamics lasting approximately 10 ps, with dependencies of thickness and power. Our findings reveal the nanoscale ultrafast dynamics of TIs and demonstrate THz s-SNOM's potential to enhance compact THz device development.
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Affiliation(s)
- Ziyu Huang
- Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China
- School of Electronic and Information Engineering, Beihang University, Beijing 100191, China
| | - Jing Li
- Fert Beijing Institute, MIIT Key Laboratory of Spintronics, School of Integrated Circuit Science and Engineering, Beihang University, Beijing 100191, China
| | - Peiyan Li
- Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China
- School of Electronic and Information Engineering, Beihang University, Beijing 100191, China
| | - Lin Du
- Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China
- School of Electronic and Information Engineering, Beihang University, Beijing 100191, China
| | - Mingcong Dai
- Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China
- School of Electronic and Information Engineering, Beihang University, Beijing 100191, China
| | - Jiahua Cai
- Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China
- School of Electronic and Information Engineering, Beihang University, Beijing 100191, China
| | - Zejun Ren
- Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China
- School of Electronic and Information Engineering, Beihang University, Beijing 100191, China
| | - Tianxiao Nie
- Fert Beijing Institute, MIIT Key Laboratory of Spintronics, School of Integrated Circuit Science and Engineering, Beihang University, Beijing 100191, China
| | - Xiaojun Wu
- Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China
- School of Electronic and Information Engineering, Beihang University, Beijing 100191, China
- Zhangjiang Laboratory, Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201204, China
- Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan 430074, China
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2
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Pistore V, Viti L, Schiattarella C, Wang Z, Law S, Mitrofanov O, Vitiello MS. Holographic Nano-Imaging of Terahertz Dirac Plasmon Polaritons in Topological Insulator Antenna Resonators. SMALL (WEINHEIM AN DER BERGSTRASSE, GERMANY) 2024; 20:e2308116. [PMID: 38152928 DOI: 10.1002/smll.202308116] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2023] [Revised: 11/17/2023] [Indexed: 12/29/2023]
Abstract
Excitation of Dirac plasmon polaritons (DPPs) in bi-dimensional materials have attracted considerable interest in recent years, both from perspectives of understanding their physics and exploring their transformative potential for nanophotonic devices, including ultra-sensitive plasmonic sensors, ultrafast saturable absorbers, modulators, and switches. Topological insulators (TIs) represent an ideal technological platform in this respect because they can support plasmon polaritons formed by Dirac carriers in the topological surface states. Tracing propagation of DPPs is a very challenging task, particularly at terahertz (THz) frequencies, where the DPP wavelength becomes over one order of magnitude shorter than the free space photon wavelength. Furthermore, severe attenuation hinders the comprehensive analysis of their characteristics. Here, the properties of DPPs in real TI-based devices are revealed. Bi2Se3 rectangular antennas can efficiently confine the propagation of DPPs to a single dimension and, as a result, enhance the DPPs visibility despite the strong intrinsic attenuation. The plasmon dispersion and loss properties from plasmon profiles are experimentally determined, along the antennas, obtained using holographic near-field nano-imaging in a wide range of THz frequencies, from 2.05 to 4.3 THz. The detailed investigation of the unveiled DPP properties can guide the design of novel topological quantum devices exploiting their directional propagation.
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Affiliation(s)
- Valentino Pistore
- NEST, CNR-Istituto Nanoscienze and Scuola Normale Superiore, Piazza San Silvestro 12, Pisa, 56127, Italy
| | - Leonardo Viti
- NEST, CNR-Istituto Nanoscienze and Scuola Normale Superiore, Piazza San Silvestro 12, Pisa, 56127, Italy
| | - Chiara Schiattarella
- NEST, CNR-Istituto Nanoscienze and Scuola Normale Superiore, Piazza San Silvestro 12, Pisa, 56127, Italy
| | - Zhengtianye Wang
- Department of Materials Science and Engineering, University of Delaware, Newark, DE, 19716, USA
| | - Stephanie Law
- Materials Science and Engineering, Pennsylvania State University, University Park, PA, 16802, USA
| | - Oleg Mitrofanov
- University College London, Electronic and Electrical Engineering, London, WC1E 7JE, UK
| | - Miriam S Vitiello
- NEST, CNR-Istituto Nanoscienze and Scuola Normale Superiore, Piazza San Silvestro 12, Pisa, 56127, Italy
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3
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Knox CS, Vaughan MT, Fox NR, Yagmur A, Sasaki S, Cunningham JE, Linfield EH, Davies AG, Freeman JR. Optical conductivity of a Bi 2Se 3 topological insulator with a THz transparent top gate. NANOPHOTONICS (BERLIN, GERMANY) 2024; 13:1843-1850. [PMID: 39635609 PMCID: PMC11501874 DOI: 10.1515/nanoph-2023-0690] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/13/2023] [Accepted: 01/19/2024] [Indexed: 12/07/2024]
Abstract
We have performed an investigation into the optical conductivity and magnetotransport properties of top-gated devices patterned on the topological insulator Bi2Se3 in order to determine the relative effects of the different carrier species that exist within these novel materials. We find that the topologically protected surfaces within our samples are partially screened from the action of the gate by trivial band-bending states formed at the top surface of the topological insulator. Despite this, the mobility of the topological surface carriers is significantly affected by the application of an external gate bias. Additionally, we find that the optical conductivity response is dominated by the topologically protected surface states, and that the optical conductivity is particularly sensitive to the scattering caused by the topological surfaces coupling to trivial states, arising from the bulk or band-bending induced surface states. These results will have interesting applications to the design of future plasmonic devices that incorporate topological materials.
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Affiliation(s)
- Craig S. Knox
- School of Electronic and Electrical Engineering, University of Leeds, LeedsLS2 9JT, UK
- School of Physics and Astronomy, University of Leeds, LeedsLS2 9JT, UK
| | - Matthew T. Vaughan
- School of Electronic and Electrical Engineering, University of Leeds, LeedsLS2 9JT, UK
| | - Nathan R. Fox
- School of Electronic and Electrical Engineering, University of Leeds, LeedsLS2 9JT, UK
| | - Ahmet Yagmur
- School of Physics and Astronomy, University of Leeds, LeedsLS2 9JT, UK
| | - Satoshi Sasaki
- School of Physics and Astronomy, University of Leeds, LeedsLS2 9JT, UK
| | - John E. Cunningham
- School of Electronic and Electrical Engineering, University of Leeds, LeedsLS2 9JT, UK
| | - Edmund H. Linfield
- School of Electronic and Electrical Engineering, University of Leeds, LeedsLS2 9JT, UK
| | - Alexander G. Davies
- School of Electronic and Electrical Engineering, University of Leeds, LeedsLS2 9JT, UK
| | - Joshua R. Freeman
- School of Electronic and Electrical Engineering, University of Leeds, LeedsLS2 9JT, UK
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4
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Krishnamoorthy HNS, Dubrovkin AM, Adamo G, Soci C. Topological Insulator Metamaterials. Chem Rev 2023; 123:4416-4442. [PMID: 36943013 DOI: 10.1021/acs.chemrev.2c00594] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/23/2023]
Abstract
Confinement of electromagnetic fields at the subwavelength scale via metamaterial paradigms is an established method to engineer light-matter interaction in most common material systems, from insulators to semiconductors and from metals to superconductors. In recent years, this approach has been extended to the realm of topological materials, providing a new avenue to access nontrivial features of their electronic band structure. In this review, we survey various topological material classes from a photonics standpoint, including crystal growth and lithographic structuring methods. We discuss how exotic electronic features such as spin-selective Dirac plasmon polaritons in topological insulators or hyperbolic plasmon polaritons in Weyl semimetals may give rise to unconventional magneto-optic, nonlinear, and circular photogalvanic effects in metamaterials across the visible to infrared spectrum. Finally, we dwell on how these effects may be dynamically controlled by applying external perturbations in the form of electric and magnetic fields or ultrafast optical pulses. Through these examples and future perspectives, we argue that topological insulator, semimetal and superconductor metamaterials are unique systems to bridge the missing links between nanophotonic, electronic, and spintronic technologies.
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Affiliation(s)
- Harish N S Krishnamoorthy
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
- Centre for Disruptive Photonic Technologies, The Photonic Institute, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
| | - Alexander M Dubrovkin
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
- Centre for Disruptive Photonic Technologies, The Photonic Institute, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
| | - Giorgio Adamo
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
- Centre for Disruptive Photonic Technologies, The Photonic Institute, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
| | - Cesare Soci
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
- Centre for Disruptive Photonic Technologies, The Photonic Institute, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
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Chen S, Bylinkin A, Wang Z, Schnell M, Chandan G, Li P, Nikitin AY, Law S, Hillenbrand R. Real-space nanoimaging of THz polaritons in the topological insulator Bi 2Se 3. Nat Commun 2022; 13:1374. [PMID: 35296642 PMCID: PMC8927118 DOI: 10.1038/s41467-022-28791-x] [Citation(s) in RCA: 27] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/12/2021] [Accepted: 02/09/2022] [Indexed: 12/31/2022] Open
Abstract
Plasmon polaritons in topological insulators attract attention from a fundamental perspective and for potential THz photonic applications. Although polaritons have been observed by THz far-field spectroscopy on topological insulator microstructures, real-space imaging of propagating THz polaritons has been elusive so far. Here, we show spectroscopic THz near-field images of thin Bi2Se3 layers (prototypical topological insulators) revealing polaritons with up to 12 times increased momenta as compared to photons of the same energy and decay times of about 0.48 ps, yet short propagation lengths. From the images we determine and analyze the polariton dispersion, showing that the polaritons can be explained by the coupling of THz radiation to various combinations of Dirac and massive carriers at the Bi2Se3 surfaces, massive bulk carriers and optical phonons. Our work provides critical insights into the nature of THz polaritons in topological insulators and establishes instrumentation and methodology for imaging of THz polaritons.
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Affiliation(s)
- Shu Chen
- CIC nanoGUNE BRTA, 20018, Donostia - San Sebastián, Spain
| | - Andrei Bylinkin
- CIC nanoGUNE BRTA, 20018, Donostia - San Sebastián, Spain.,Donostia International Physics Center (DIPC), 20018, Donostia - San Sebastián, Spain
| | - Zhengtianye Wang
- Department of Materials Science and Engineering, University of Delaware, Newark, Delaware, 19716, USA
| | - Martin Schnell
- CIC nanoGUNE BRTA, 20018, Donostia - San Sebastián, Spain.,IKERBASQUE, Basque Foundation for Science, 48009, Bilbao, Spain
| | - Greeshma Chandan
- Department of Materials Science and Engineering, University of Delaware, Newark, Delaware, 19716, USA
| | - Peining Li
- Wuhan National Laboratory for Optoelectronics & School of Optical and Electronic Information, Huazhong University of Science and Technology, 430074, Wuhan, China
| | - Alexey Y Nikitin
- Donostia International Physics Center (DIPC), 20018, Donostia - San Sebastián, Spain.,IKERBASQUE, Basque Foundation for Science, 48009, Bilbao, Spain
| | - Stephanie Law
- Department of Materials Science and Engineering, University of Delaware, Newark, Delaware, 19716, USA
| | - Rainer Hillenbrand
- IKERBASQUE, Basque Foundation for Science, 48009, Bilbao, Spain. .,CIC nanoGUNE BRTA and Department of Electricity and Electronics, UPV/EHU, 20018, Donostia-San Sebastián, Spain.
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6
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Mapping propagation of collective modes in Bi 2Se 3 and Bi 2Te 2.2Se 0.8 topological insulators by near-field terahertz nanoscopy. Nat Commun 2021; 12:6672. [PMID: 34795216 PMCID: PMC8602307 DOI: 10.1038/s41467-021-26831-6] [Citation(s) in RCA: 21] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/18/2021] [Accepted: 10/25/2021] [Indexed: 11/09/2022] Open
Abstract
Near-field microscopy discloses a peculiar potential to explore novel quantum state of matter at the nanoscale, providing an intriguing playground to investigate, locally, carrier dynamics or propagation of photoexcited modes as plasmons, phonons, plasmon-polaritons or phonon-polaritons. Here, we exploit a combination of hyperspectral time domain spectroscopy nano-imaging and detectorless scattering near-field optical microscopy, at multiple terahertz frequencies, to explore the rich physics of layered topological insulators as Bi2Se3 and Bi2Te2.2Se0.8, hyperbolic materials with topologically protected surface states. By mapping the near-field scattering signal from a set of thin flakes of Bi2Se3 and Bi2Te2.2Se0.8 of various thicknesses, we shed light on the nature of the collective modes dominating their optical response in the 2-3 THz range. We capture snapshots of the activation of transverse and longitudinal optical phonons and reveal the propagation of sub-diffractional hyperbolic phonon-polariton modes influenced by the Dirac plasmons arising from the topological surface states and of bulk plasmons, prospecting new research directions in plasmonics, tailored nanophotonics, spintronics and quantum technologies.
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7
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Matyushkin Y, Danilov S, Moskotin M, Fedorov G, Bochin A, Gorbenko I, Kachorovskii V, Ganichev S. Carbon nanotubes for polarization sensitive terahertz plasmonic interferometry. OPTICS EXPRESS 2021; 29:37189-37199. [PMID: 34808796 DOI: 10.1364/oe.435416] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/15/2021] [Accepted: 09/13/2021] [Indexed: 06/13/2023]
Abstract
We report on helicity sensitive photovoltaic terahertz radiation response of a carbon nanotube made in a configuration of a field-effect transistor. We find that the magnitude of the rectified voltage is different for clockwise and anticlockwise circularly polarized radiation. We demonstrate that this effect is a fingerprint of the plasma waves interference in the transistor channel. We also find that the presence of the helicity- and phase-sensitive interference part of the photovoltaic response is a universal phenomenon which is obtained in the systems of different dimensionality with different single-particle spectrum. Its magnitude is a characteristic of the plasma wave decay length. This opens up a wide avenue for applications in the area of plasmonic interferometry.
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Di Pietro P, Adhlakha N, Piccirilli F, Di Gaspare A, Moon J, Oh S, Di Mitri S, Spampinati S, Perucchi A, Lupi S. Terahertz Tuning of Dirac Plasmons in Bi_{2}Se_{3} Topological Insulator. PHYSICAL REVIEW LETTERS 2020; 124:226403. [PMID: 32567905 DOI: 10.1103/physrevlett.124.226403] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/21/2019] [Accepted: 05/15/2020] [Indexed: 06/11/2023]
Abstract
Light can be strongly confined in subwavelength spatial regions through the interaction with plasmons, the collective electronic modes appearing in metals and semiconductors. This confinement, which is particularly important in the terahertz spectral region, amplifies light-matter interaction and provides a powerful mechanism for efficiently generating nonlinear optical phenomena. These effects are particularly relevant in graphene and topological insulators, where massless Dirac fermions show a naturally nonlinear optical behavior in the terahertz range. The strong interaction scenario has been considered so far from the point of view of light. In this Letter, we investigate instead the effect of strong interaction on the plasmon itself. In particular, we will show that Dirac plasmons in Bi_{2}Se_{3} topological insulator are strongly renormalized when excited by high-intensity terahertz radiation by displaying a huge red-shift down to 60% of its characteristic frequency. This opens the road towards tunable terahertz nonlinear optical devices based on topological insulators.
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Affiliation(s)
- P Di Pietro
- Elettra - Sincrotrone Trieste S.C.p.A., S.S. 14 km - 163,5 in Area Science Park, I-34149 Basovizza, Trieste, Italy
| | - N Adhlakha
- Elettra - Sincrotrone Trieste S.C.p.A., S.S. 14 km - 163,5 in Area Science Park, I-34149 Basovizza, Trieste, Italy
| | - F Piccirilli
- CNR-IOM, Area Science Park, I-34012 Trieste, Italy
| | - A Di Gaspare
- NEST, CNRNANO and Scuola Normale Superiore, Piazza San Silvestro 12, 56127 Pisa, Italy
| | - J Moon
- Department of Physics and Astronomy Rutgers, The State University of New Jersey, 136 Frelinghuysen Road Piscataway, New Jersey 08854-8019 USA
| | - S Oh
- Department of Physics and Astronomy Rutgers, The State University of New Jersey, 136 Frelinghuysen Road Piscataway, New Jersey 08854-8019 USA
| | - S Di Mitri
- Elettra - Sincrotrone Trieste S.C.p.A., S.S. 14 km - 163,5 in Area Science Park, I-34149 Basovizza, Trieste, Italy
| | - S Spampinati
- Elettra - Sincrotrone Trieste S.C.p.A., S.S. 14 km - 163,5 in Area Science Park, I-34149 Basovizza, Trieste, Italy
| | - A Perucchi
- Elettra - Sincrotrone Trieste S.C.p.A., S.S. 14 km - 163,5 in Area Science Park, I-34149 Basovizza, Trieste, Italy
| | - S Lupi
- CNR-IOM and Dipartimento di Fisica, Sapienza Università di Roma, P.le Aldo Moro 2, I-00185 Roma, Italy
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Belec B, Ferfolja K, Goršak T, Kostevšek N, Gardonio S, Fanetti M, Valant M. Inherent Surface Properties of Adsorbent-Free Ultrathin Bi 2Se 3 Topological Insulator Platelets. Sci Rep 2019; 9:19057. [PMID: 31836791 PMCID: PMC6911074 DOI: 10.1038/s41598-019-55646-1] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2019] [Accepted: 11/28/2019] [Indexed: 11/09/2022] Open
Abstract
We report on a hydrothermal synthesis of hexagonal ultra-thin Bi2Se3 platelets, which was performed without any organic reactants. The synthesis resulted in the particles with a surface, clean of any organic adsorbents, which was confirmed with a high-resolution transmission electron microscopy, zeta-potential measurements and thermogravimetric measurements coupled with a mass spectroscopy. Due to the absence of the adsorbed organic layer on the Bi2Se3 platelet surface, we were able to measure their inherent surface and optical properties. So far this has not been possible as it has been believed that such hexagonal Bi2Se3 platelets can only be prepared by a solvothermal synthesis, for which it was unable to avoid the organic surface layer. Here we explain the mechanism behind the successful hydrothermal synthesis and show a striking difference in zeta potential behaviour and UV-vis absorption characteristics caused by the adsorbed layer. The surface of the hydrothermally synthesized Bi2Se3 platelets was so clean to enable the occurrence of the localized surface plasmon resonance due to the bulk and topological surface electronic states.
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Affiliation(s)
- Blaž Belec
- Materials Research Laboratory, University of Nova Gorica, Vipavska 11c, 5270, Ajdovščina, Slovenia.
| | - Katja Ferfolja
- Materials Research Laboratory, University of Nova Gorica, Vipavska 11c, 5270, Ajdovščina, Slovenia
| | - Tanja Goršak
- Department for Materials Synthesis, Jožef Stefan Institute, Jamova 39, 1000, Ljubljana, Slovenia
- Jožef Stefan International Postgraduate School, Jamova 39, 1000, Ljubljana, Slovenia
| | - Nina Kostevšek
- Department for Nanostructured Materials, Jožef Stefan Institute, Jamova 39, 1000, Ljubljana, Slovenia
| | - Sandra Gardonio
- Materials Research Laboratory, University of Nova Gorica, Vipavska 11c, 5270, Ajdovščina, Slovenia
| | - Mattia Fanetti
- Materials Research Laboratory, University of Nova Gorica, Vipavska 11c, 5270, Ajdovščina, Slovenia
| | - Matjaz Valant
- Materials Research Laboratory, University of Nova Gorica, Vipavska 11c, 5270, Ajdovščina, Slovenia
- Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, 610054, Chengdu, China
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Avetissian HK, Avetissian AK, Avchyan BR, Mkrtchian GF. Multiphoton excitation and high-harmonics generation in topological insulator. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:185302. [PMID: 29578450 DOI: 10.1088/1361-648x/aab989] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Multiphoton interaction of coherent electromagnetic radiation with 2D metallic carriers confined on the surface of the 3D topological insulator is considered. A microscopic theory describing the nonlinear interaction of a strong wave and metallic carriers with many-body Coulomb interaction is developed. The set of integrodifferential equations for the interband polarization and carrier occupation distribution is solved numerically. Multiphoton excitation of Fermi-Dirac sea of 2D massless carriers is considered for a THz pump wave. It is shown that in the moderately strong pump wave field along with multiphoton interband/intraband transitions the intense radiation of high harmonics takes place.
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Affiliation(s)
- H K Avetissian
- Centre of Strong Fields Physics, Yerevan State University, 1 A. Manukian, Yerevan 0025, Armenia
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