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Wang F, Greenaway MT, Balanov AG, Fromhold TM. Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates. Sci Rep 2024; 14:5269. [PMID: 38438388 PMCID: PMC10912705 DOI: 10.1038/s41598-024-52351-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2023] [Accepted: 01/17/2024] [Indexed: 03/06/2024] Open
Abstract
We investigate the quantum-classical correspondence for a particle tunnelling through a periodic superlattice structure with an applied bias voltage and an additional tilted harmonic oscillator potential. We show that the quantum mechanical tunnelling rate between neighbouring quantum wells of the superlattice is determined by the topology of the phase trajectories of the analogous classical system. This result also enables us to estimate, with high accuracy, the tunnelling rate between two spatially displaced simple harmonic oscillator states using a classical model, and thus gain new insight into this generic quantum phenomenon. This finding opens new directions for exploring and understanding the quantum-classical correspondence principle and quantum jumps between displaced harmonic oscillators, which are important in many branches of natural science.
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Affiliation(s)
- F Wang
- School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, UK
| | - M T Greenaway
- Department of Physics, Loughborough University, Loughborough, LE11 3TU, UK
| | - A G Balanov
- Department of Physics, Loughborough University, Loughborough, LE11 3TU, UK
| | - T M Fromhold
- School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, UK.
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2
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Berdyugin AI, Xin N, Gao H, Slizovskiy S, Dong Z, Bhattacharjee S, Kumaravadivel P, Xu S, Ponomarenko LA, Holwill M, Bandurin DA, Kim M, Cao Y, Greenaway MT, Novoselov KS, Grigorieva IV, Watanabe K, Taniguchi T, Fal'ko VI, Levitov LS, Kumar RK, Geim AK. Out-of-equilibrium criticalities in graphene superlattices. Science 2022; 375:430-433. [PMID: 35084955 DOI: 10.1126/science.abi8627] [Citation(s) in RCA: 14] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
In thermodynamic equilibrium, current in metallic systems is carried by electronic states near the Fermi energy, whereas the filled bands underneath contribute little to conduction. Here, we describe a very different regime in which carrier distribution in graphene and its superlattices is shifted so far from equilibrium that the filled bands start playing an essential role, leading to a critical-current behavior. The criticalities develop upon the velocity of electron flow reaching the Fermi velocity. Key signatures of the out-of-equilibrium state are current-voltage characteristics that resemble those of superconductors, sharp peaks in differential resistance, sign reversal of the Hall effect, and a marked anomaly caused by the Schwinger-like production of hot electron-hole plasma. The observed behavior is expected to be common to all graphene-based superlattices.
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Affiliation(s)
- Alexey I Berdyugin
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - Na Xin
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - Haoyang Gao
- Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - Sergey Slizovskiy
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - Zhiyu Dong
- Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - Shubhadeep Bhattacharjee
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - P Kumaravadivel
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - Shuigang Xu
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - L A Ponomarenko
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,Department of Physics, University of Lancaster, Lancaster LA1 4YW, UK
| | - Matthew Holwill
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - D A Bandurin
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - Minsoo Kim
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - Yang Cao
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - M T Greenaway
- Department of Physics, Loughborough University, Loughborough LE11 3TU, UK.,School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK
| | - K S Novoselov
- National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
| | - I V Grigorieva
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
| | - K Watanabe
- Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - T Taniguchi
- International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - V I Fal'ko
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK.,Henry Royce Institute for Advanced Materials, Manchester M13 9PL, UK
| | - L S Levitov
- Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - Roshan Krishna Kumar
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK.,Institut de Ciencies Fotoniques (ICFO), Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain
| | - A K Geim
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
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3
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Greenaway MT, Kumaravadivel P, Wengraf J, Ponomarenko LA, Berdyugin AI, Li J, Edgar JH, Kumar RK, Geim AK, Eaves L. Graphene's non-equilibrium fermions reveal Doppler-shifted magnetophonon resonances accompanied by Mach supersonic and Landau velocity effects. Nat Commun 2021; 12:6392. [PMID: 34737289 PMCID: PMC8568928 DOI: 10.1038/s41467-021-26663-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/04/2021] [Accepted: 10/15/2021] [Indexed: 11/21/2022] Open
Abstract
Oscillatory magnetoresistance measurements on graphene have revealed a wealth of novel physics. These phenomena are typically studied at low currents. At high currents, electrons are driven far from equilibrium with the atomic lattice vibrations so that their kinetic energy can exceed the thermal energy of the phonons. Here, we report three non-equilibrium phenomena in monolayer graphene at high currents: (i) a “Doppler-like” shift and splitting of the frequencies of the transverse acoustic (TA) phonons emitted when the electrons undergo inter-Landau level (LL) transitions; (ii) an intra-LL Mach effect with the emission of TA phonons when the electrons approach supersonic speed, and (iii) the onset of elastic inter-LL transitions at a critical carrier drift velocity, analogous to the superfluid Landau velocity. All three quantum phenomena can be unified in a single resonance equation. They offer avenues for research on out-of-equilibrium phenomena in other two-dimensional fermion systems. Magneto-oscillations have revealed many interesting phenomena in graphene and quantum Hall systems, but they are typically measured at low currents and in equilibrium. Here, the authors report several non-equilibrium quantum effects observed in magneto-oscillations in graphene at high currents.
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Affiliation(s)
- M T Greenaway
- Department of Physics, Loughborough University, Loughborough, LE11 3TU, UK. .,School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, UK.
| | - P Kumaravadivel
- School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester, M13 9PL, UK
| | - J Wengraf
- School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, UK.,Department of Physics, University of Lancaster, Lancaster, LA1 4YW, UK
| | - L A Ponomarenko
- School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, UK.,Department of Physics, University of Lancaster, Lancaster, LA1 4YW, UK
| | - A I Berdyugin
- School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, UK
| | - J Li
- Tim Taylor Department of Chemical Engineering, Kansas State University, Manhattan, KS, 66506, USA
| | - J H Edgar
- Tim Taylor Department of Chemical Engineering, Kansas State University, Manhattan, KS, 66506, USA
| | - R Krishna Kumar
- School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, UK
| | - A K Geim
- School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, UK.,National Graphene Institute, University of Manchester, Manchester, M13 9PL, UK
| | - L Eaves
- School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, UK. .,School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, UK.
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4
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Wallbank JR, Ghazaryan D, Misra A, Cao Y, Tu JS, Piot BA, Potemski M, Pezzini S, Wiedmann S, Zeitler U, Lane TLM, Morozov SV, Greenaway MT, Eaves L, Geim AK, Fal'ko VI, Novoselov KS, Mishchenko A. Tuning the valley and chiral quantum state of Dirac electrons in van der Waals heterostructures. Science 2016; 353:575-9. [DOI: 10.1126/science.aaf4621] [Citation(s) in RCA: 72] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2016] [Accepted: 07/13/2016] [Indexed: 11/02/2022]
Affiliation(s)
- J. R. Wallbank
- National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
| | - D. Ghazaryan
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
| | - A. Misra
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
| | - Y. Cao
- Centre for Mesoscience and Nanotechnology, University of Manchester, Manchester M13 9PL, UK
| | - J. S. Tu
- Centre for Mesoscience and Nanotechnology, University of Manchester, Manchester M13 9PL, UK
| | - B. A. Piot
- Laboratoire National des Champs Magnétiques Intenses, LNCMI-CNRS-UGA-UPS-INSA-EMFL, 25 avenue des Martyrs, 38042 Grenoble, France
| | - M. Potemski
- Laboratoire National des Champs Magnétiques Intenses, LNCMI-CNRS-UGA-UPS-INSA-EMFL, 25 avenue des Martyrs, 38042 Grenoble, France
| | - S. Pezzini
- High Field Magnet Laboratory (HFML-EMFL) and Institute of Molecules and Materials, Radboud University, Nijmegen, 6525 ED, Netherlands
| | - S. Wiedmann
- High Field Magnet Laboratory (HFML-EMFL) and Institute of Molecules and Materials, Radboud University, Nijmegen, 6525 ED, Netherlands
| | - U. Zeitler
- High Field Magnet Laboratory (HFML-EMFL) and Institute of Molecules and Materials, Radboud University, Nijmegen, 6525 ED, Netherlands
| | - T. L. M. Lane
- National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
| | - S. V. Morozov
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
- Institute of Microelectronics Technology and High Purity Materials, RAS, Chernogolovka 142432, Russia
- National University of Science and Technology “MISiS”, 119049, Leninsky pr. 4, Moscow, Russia
| | - M. T. Greenaway
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK
| | - L. Eaves
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK
| | - A. K. Geim
- Centre for Mesoscience and Nanotechnology, University of Manchester, Manchester M13 9PL, UK
| | - V. I. Fal'ko
- National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
| | - K. S. Novoselov
- National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
| | - A. Mishchenko
- National Graphene Institute, University of Manchester, Manchester M13 9PL, UK
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK
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5
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Vdovin EE, Mishchenko A, Greenaway MT, Zhu MJ, Ghazaryan D, Misra A, Cao Y, Morozov SV, Makarovsky O, Fromhold TM, Patanè A, Slotman GJ, Katsnelson MI, Geim AK, Novoselov KS, Eaves L. Phonon-Assisted Resonant Tunneling of Electrons in Graphene-Boron Nitride Transistors. Phys Rev Lett 2016; 116:186603. [PMID: 27203338 DOI: 10.1103/physrevlett.116.186603] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/08/2015] [Indexed: 05/07/2023]
Abstract
We observe a series of sharp resonant features in the differential conductance of graphene-hexagonal boron nitride-graphene tunnel transistors over a wide range of bias voltages between 10 and 200 mV. We attribute them to electron tunneling assisted by the emission of phonons of well-defined energy. The bias voltages at which they occur are insensitive to the applied gate voltage and hence independent of the carrier densities in the graphene electrodes, so plasmonic effects can be ruled out. The phonon energies corresponding to the resonances are compared with the lattice dispersion curves of graphene-boron nitride heterostructures and are close to peaks in the single phonon density of states.
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Affiliation(s)
- E E Vdovin
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
- Institute of Microelectronics Technology and High Purity Materials, RAS, Chernogolovka 142432, Russia
- National University of Science and Technology "MISiS," 119049 Leninsky Prospect 4, Moscow, Russia
| | - A Mishchenko
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
| | - M T Greenaway
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
| | - M J Zhu
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
| | - D Ghazaryan
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
| | - A Misra
- National Graphene Institute, University of Manchester, Manchester M13 9PL, United Kingdom
| | - Y Cao
- Centre for Mesoscience and Nanotechnology, University of Manchester, Manchester M13 9PL, United Kingdom
| | - S V Morozov
- Institute of Microelectronics Technology and High Purity Materials, RAS, Chernogolovka 142432, Russia
- National University of Science and Technology "MISiS," 119049 Leninsky Prospect 4, Moscow, Russia
| | - O Makarovsky
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
| | - T M Fromhold
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
| | - A Patanè
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
| | - G J Slotman
- Radboud University, Institute for Molecules and Materials, Heyendaalseweg 135, 6525 AJ Nijmegen, The Netherlands
| | - M I Katsnelson
- Radboud University, Institute for Molecules and Materials, Heyendaalseweg 135, 6525 AJ Nijmegen, The Netherlands
| | - A K Geim
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
- Centre for Mesoscience and Nanotechnology, University of Manchester, Manchester M13 9PL, United Kingdom
| | - K S Novoselov
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
- National Graphene Institute, University of Manchester, Manchester M13 9PL, United Kingdom
| | - L Eaves
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
- School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
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6
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Mishchenko A, Tu JS, Cao Y, Gorbachev RV, Wallbank JR, Greenaway MT, Morozov VE, Morozov SV, Zhu MJ, Wong SL, Withers F, Woods CR, Kim YJ, Watanabe K, Taniguchi T, Vdovin EE, Makarovsky O, Fromhold TM, Fal'ko VI, Geim AK, Eaves L, Novoselov KS. Twist-controlled resonant tunnelling in graphene/boron nitride/graphene heterostructures. Nat Nanotechnol 2014; 9:808-813. [PMID: 25194946 DOI: 10.1038/nnano.2014.187] [Citation(s) in RCA: 78] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/25/2014] [Accepted: 08/05/2014] [Indexed: 05/28/2023]
Abstract
Recent developments in the technology of van der Waals heterostructures made from two-dimensional atomic crystals have already led to the observation of new physical phenomena, such as the metal-insulator transition and Coulomb drag, and to the realization of functional devices, such as tunnel diodes, tunnel transistors and photovoltaic sensors. An unprecedented degree of control of the electronic properties is available not only by means of the selection of materials in the stack, but also through the additional fine-tuning achievable by adjusting the built-in strain and relative orientation of the component layers. Here we demonstrate how careful alignment of the crystallographic orientation of two graphene electrodes separated by a layer of hexagonal boron nitride in a transistor device can achieve resonant tunnelling with conservation of electron energy, momentum and, potentially, chirality. We show how the resonance peak and negative differential conductance in the device characteristics induce a tunable radiofrequency oscillatory current that has potential for future high-frequency technology.
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Affiliation(s)
- A Mishchenko
- School of Physics &Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
| | - J S Tu
- Centre for Mesoscience &Nanotechnology, University of Manchester, Manchester M13 9PL, UK
| | - Y Cao
- Centre for Mesoscience &Nanotechnology, University of Manchester, Manchester M13 9PL, UK
| | - R V Gorbachev
- Centre for Mesoscience &Nanotechnology, University of Manchester, Manchester M13 9PL, UK
| | - J R Wallbank
- Physics Department, Lancaster University, Lancaster University LA1 4YB, UK
| | - M T Greenaway
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK
| | - V E Morozov
- School of Physics &Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
| | - S V Morozov
- Institute of Microelectronics Technology and High Purity Materials, Russian Academy of Sciences, Chernogolovka 142432, Russia
| | - M J Zhu
- School of Physics &Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
| | - S L Wong
- School of Physics &Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
| | - F Withers
- School of Physics &Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
| | - C R Woods
- School of Physics &Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
| | - Y-J Kim
- 1] Centre for Mesoscience &Nanotechnology, University of Manchester, Manchester M13 9PL, UK [2] Department of Chemistry, Seoul National University, Seoul 151-747, Korea
| | - K Watanabe
- National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - T Taniguchi
- National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - E E Vdovin
- 1] School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK [2] Institute of Microelectronics Technology and High Purity Materials, Russian Academy of Sciences, Chernogolovka 142432, Russia
| | - O Makarovsky
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK
| | - T M Fromhold
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK
| | - V I Fal'ko
- Physics Department, Lancaster University, Lancaster University LA1 4YB, UK
| | - A K Geim
- 1] School of Physics &Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK [2] Centre for Mesoscience &Nanotechnology, University of Manchester, Manchester M13 9PL, UK
| | - L Eaves
- 1] School of Physics &Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK [2] School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK
| | - K S Novoselov
- School of Physics &Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
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7
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Hramov AE, Makarov VV, Koronovskii AA, Kurkin SA, Gaifullin MB, Alexeeva NV, Alekseev KN, Greenaway MT, Fromhold TM, Patanè A, Kusmartsev FV, Maksimenko VA, Moskalenko OI, Balanov AG. Subterahertz chaos generation by coupling a superlattice to a linear resonator. Phys Rev Lett 2014; 112:116603. [PMID: 24702398 DOI: 10.1103/physrevlett.112.116603] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/12/2013] [Indexed: 06/03/2023]
Abstract
We investigate the effects of a linear resonator on the high-frequency dynamics of electrons in devices exhibiting negative differential conductance. We show that the resonator strongly affects both the dc and ac transport characteristics of the device, inducing quasiperiodic and high-frequency chaotic current oscillations. The theoretical findings are confirmed by experimental measurements of a GaAs/AlAs miniband semiconductor superlattice coupled to a linear microstrip resonator. Our results are applicable to other active solid state devices and provide a generic approach for developing modern chaos-based high-frequency technologies including broadband chaotic wireless communication and superfast random-number generation.
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Affiliation(s)
- A E Hramov
- Faculty of Nonlinear Processes, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia and Saratov State Technical University, Politechnicheskaja 77, Saratov 410054, Russia
| | - V V Makarov
- Faculty of Nonlinear Processes, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia
| | - A A Koronovskii
- Faculty of Nonlinear Processes, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia and Saratov State Technical University, Politechnicheskaja 77, Saratov 410054, Russia
| | - S A Kurkin
- Faculty of Nonlinear Processes, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia
| | - M B Gaifullin
- Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom
| | - N V Alexeeva
- Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom
| | - K N Alekseev
- Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom
| | - M T Greenaway
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
| | - T M Fromhold
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
| | - A Patanè
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
| | | | - V A Maksimenko
- Saratov State Technical University, Politechnicheskaja 77, Saratov 410054, Russia
| | - O I Moskalenko
- Saratov State Technical University, Politechnicheskaja 77, Saratov 410054, Russia
| | - A G Balanov
- Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom
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8
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Alexeeva N, Greenaway MT, Balanov AG, Makarovsky O, Patanè A, Gaifullin MB, Kusmartsev F, Fromhold TM. Controlling high-frequency collective electron dynamics via single-particle complexity. Phys Rev Lett 2012; 109:024102. [PMID: 23030163 DOI: 10.1103/physrevlett.109.024102] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/07/2011] [Indexed: 06/01/2023]
Abstract
We demonstrate, through experiment and theory, enhanced high-frequency current oscillations due to magnetically-induced conduction resonances in superlattices. Strong increase in the ac power originates from complex single-electron dynamics, characterized by abrupt resonant transitions between unbound and localized trajectories, which trigger and shape propagating charge domains. Our data demonstrate that external fields can tune the collective behavior of quantum particles by imprinting configurable patterns in the single-particle classical phase space.
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Affiliation(s)
- N Alexeeva
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
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