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Kataoka M, Johnson N, Emary C, See P, Griffiths JP, Jones GAC, Farrer I, Ritchie DA, Pepper M, Janssen TJBM. Time-of-Flight Measurements of Single-Electron Wave Packets in Quantum Hall Edge States. PHYSICAL REVIEW LETTERS 2016; 116:126803. [PMID: 27058091 DOI: 10.1103/physrevlett.116.126803] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/09/2015] [Indexed: 06/05/2023]
Abstract
We report time-of-flight measurements on electrons traveling in quantum Hall edge states. Hot-electron wave packets are emitted one per cycle into edge states formed along a depleted sample boundary. The electron arrival time is detected by driving a detector barrier with a square wave that acts as a shutter. By adding an extra path using a deflection barrier, we measure a delay in the arrival time, from which the edge-state velocity v is deduced. We find that v follows 1/B dependence, in good agreement with the E[over →]×B[over →] drift. The edge potential is estimated from the energy dependence of v using a harmonic approximation.
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Affiliation(s)
- M Kataoka
- National Physical Laboratory, Hampton Road, Teddington, Middlesex TW11 0LW, United Kingdom
| | - N Johnson
- National Physical Laboratory, Hampton Road, Teddington, Middlesex TW11 0LW, United Kingdom
- London Centre for Nanotechnology, and Department of Electronic and Electrical Engineering, University College London, Torrington Place, London WC1E 7JE, United Kingdom
| | - C Emary
- Department of Physics and Mathematics, University of Hull, Kingston-upon-Hull HU6 7RX, United Kingdom
| | - P See
- National Physical Laboratory, Hampton Road, Teddington, Middlesex TW11 0LW, United Kingdom
| | - J P Griffiths
- Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom
| | - G A C Jones
- Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom
| | - I Farrer
- Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom
| | - D A Ritchie
- Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom
| | - M Pepper
- London Centre for Nanotechnology, and Department of Electronic and Electrical Engineering, University College London, Torrington Place, London WC1E 7JE, United Kingdom
| | - T J B M Janssen
- National Physical Laboratory, Hampton Road, Teddington, Middlesex TW11 0LW, United Kingdom
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Kumada N, Roulleau P, Roche B, Hashisaka M, Hibino H, Petković I, Glattli DC. Resonant edge magnetoplasmons and their decay in graphene. PHYSICAL REVIEW LETTERS 2014; 113:266601. [PMID: 25615366 DOI: 10.1103/physrevlett.113.266601] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/02/2014] [Indexed: 06/04/2023]
Abstract
We investigate resonant edge magnetoplasmons (EMPs) and their decay in graphene by high-frequency electronic measurements. From EMP resonances in disk shaped graphene, we show that the dispersion relation of EMPs is nonlinear due to interactions, giving rise to the intrinsic decay of EMP wave packets. We also identify extrinsic dissipation mechanisms due to interaction with localized states in bulk graphene from the decay time of EMP wave packets. We indicate that, owing to the linear band structure and the sharp edge potential, EMP dissipation in graphene can be lower than that in GaAs systems.
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Affiliation(s)
- N Kumada
- NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi 243-0198, Japan and Nanoelectronics Group, Service de Physique de l'Etat Condensé, IRAMIS/DSM (CNRS URA 2464), CEA Saclay, F-91191 Gif-sur-Yvette, France
| | - P Roulleau
- Nanoelectronics Group, Service de Physique de l'Etat Condensé, IRAMIS/DSM (CNRS URA 2464), CEA Saclay, F-91191 Gif-sur-Yvette, France
| | - B Roche
- Nanoelectronics Group, Service de Physique de l'Etat Condensé, IRAMIS/DSM (CNRS URA 2464), CEA Saclay, F-91191 Gif-sur-Yvette, France
| | - M Hashisaka
- Department of Physics, Tokyo Institute of Technology, Ookayama, Meguro, Tokyo 152-8551, Japan
| | - H Hibino
- NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi 243-0198, Japan
| | - I Petković
- Nanoelectronics Group, Service de Physique de l'Etat Condensé, IRAMIS/DSM (CNRS URA 2464), CEA Saclay, F-91191 Gif-sur-Yvette, France
| | - D C Glattli
- Nanoelectronics Group, Service de Physique de l'Etat Condensé, IRAMIS/DSM (CNRS URA 2464), CEA Saclay, F-91191 Gif-sur-Yvette, France
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Kumada N, Tanabe S, Hibino H, Kamata H, Hashisaka M, Muraki K, Fujisawa T. Plasmon transport in graphene investigated by time-resolved electrical measurements. Nat Commun 2013; 4:1363. [PMID: 23322051 PMCID: PMC3562445 DOI: 10.1038/ncomms2353] [Citation(s) in RCA: 44] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/04/2012] [Accepted: 12/03/2012] [Indexed: 11/08/2022] Open
Abstract
Plasmons, which are collective charge oscillations, could provide a means of confining electromagnetic field to nanoscale structures. Recently, plasmonics using graphene have attracted interest, particularly because of the tunable plasmon dispersion, which will be useful for tunable frequency in cavity applications. However, the carrier density dependence of the dispersion is weak (proportional to n(1/4)) and it is difficult to tune the frequency over orders of magnitude. Here, by exploiting electronic excitation and detection, we carry out time-resolved measurements of a charge pulse travelling in a plasmon mode in graphene corresponding to the gigahertz range. We demonstrate that the plasmon velocity can be changed over two orders of magnitude by applying a magnetic field B and by screening the plasmon electric field with a gate metal; at high B, edge magnetoplasmons, which are plasmons localized at the sample edge, are formed and their velocity depends on B, n and the gate screening effect.
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Affiliation(s)
- N Kumada
- NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198, Japan.
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Kukushkin IV, Akimov MY, Smet JH, Mikhailov SA, von Klitzing K, Aleiner IL, Falko VI. New type of B-periodic magneto-oscillations in a two-dimensional electron system induced by microwave irradiation. PHYSICAL REVIEW LETTERS 2004; 92:236803. [PMID: 15245184 DOI: 10.1103/physrevlett.92.236803] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/08/2003] [Indexed: 05/24/2023]
Abstract
We observe a new type of magneto-oscillations in the photovoltage and the longitudinal resistance of a two-dimensional electron system. The oscillations are induced by microwave radiation and are periodic in magnetic field. The period is determined by the microwave frequency, the electron density, and the distance between potential probes. The phenomenon is accounted for by interference of coherently excited edge magnetoplasmons in the contact regions and offers perspectives for developing new tunable microwave and terahertz detection schemes and spectroscopic techniques.
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Affiliation(s)
- I V Kukushkin
- Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
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Machida T, Hirai H, Komiyama S, Osada T, Shiraki Y. Current-induced decoupling of edge states in the integer quantum Hall effect. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:R14261-R14264. [PMID: 9985502 DOI: 10.1103/physrevb.54.r14261] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zhitenev NB, Brodsky M, Ashoori RC, Melloch MR. New Class of Resonances at the Edge of the Two Dimensional Electron Gas. PHYSICAL REVIEW LETTERS 1996; 77:1833-1836. [PMID: 10063183 DOI: 10.1103/physrevlett.77.1833] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Markvoort AJ, Blom FA, Wolter JH. Reflection of finite-width edge channels. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:2806-2812. [PMID: 9986134 DOI: 10.1103/physrevb.54.2806] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zhitenev NB, Haug RJ, Klitzing K, Eberl K. Linear and nonlinear waves in edge channels. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:11277-11283. [PMID: 9980231 DOI: 10.1103/physrevb.52.11277] [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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Hirai H, Komiyama S, Fukatsu S, Osada T, Shiraki Y, Toyoshima H. Dependence of inter-edge-channel scattering on temperature and magnetic field: Insight into the edge-confining potential. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:11159-11164. [PMID: 9980216 DOI: 10.1103/physrevb.52.11159] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Blom FA, Wolter JH. Imaging of edge channels in the integer quantum Hall regime by the lateral photoelectric effect. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:5760-5766. [PMID: 9981763 DOI: 10.1103/physrevb.52.5760] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zhitenev NB, Haug RJ, Klitzing K, Eberl K. Tunneling between edge channels and the bulk of a two-dimensional electron gas. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:17820-17826. [PMID: 9978816 DOI: 10.1103/physrevb.51.17820] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Aleiner IL, Yue D, Glazman LI. Acoustic excitations of a confined two-dimensional electron liquid in a magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:13467-13474. [PMID: 9978150 DOI: 10.1103/physrevb.51.13467] [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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Sommerfeld PK, Steijaert PP, Peters PJ. Magnetoplasmons at boundaries between two-dimensional electron systems. PHYSICAL REVIEW LETTERS 1995; 74:2559-2562. [PMID: 10057958 DOI: 10.1103/physrevlett.74.2559] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Manolescu A, Gerhardts RR. Exchange-enhanced spin splitting in a two-dimensional electron system with lateral modulation. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:1703-1713. [PMID: 9978890 DOI: 10.1103/physrevb.51.1703] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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