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Kovalenko KL, Kozlovskiy SI, Sharan NN, Venger EF. Bulk plasmon-limited mobility in semiconductors: from bulk to nanowires. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2023; 35:475303. [PMID: 37646378 DOI: 10.1088/1361-648x/acef88] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/10/2023] [Accepted: 08/11/2023] [Indexed: 09/01/2023]
Abstract
Analytical expressions are obtained for the low-field mobility in semiconductors for scattering of three-dimensional (3D), two-dimensional (2D), and one-dimensional (1D) charged carriers by bulk plasmons. The consideration is based on the quantum kinetic equation and model distribution function in form of a shifted Fermi distribution and includes calculations of the dielectric function of 3D, 2D and 1D carriers in the random phase approximation. The resulting analytical expressions give dependences of the plasmon limited mobility on the dimensionality of charge carrier system, their density, effective mass, temperature and confining dimensions. The plasmon limited mobility decreases as the dimensionality of the electron gas D decreases. The physical reason for this is an increase in the absolute value of the cutoff vector with a decrease in D. Comparison of our calculations with known experimental data shows that relative contribution of the electron-plasmon scattering to total mobility reaches a maximum in the temperature range 10-100 K and can be a few percent in bulk crystals, ten of percent in quantum wells, and is close to the experimental values in nanowires. A noticeable effect of the scattering 3D, 2D and 1D electrons by bulk plasmons on mobility is expected in semiconductors with a sufficiently high mobility of more than 105cm2V-1s.
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Affiliation(s)
- Konstantin L Kovalenko
- V. E. Lashkaryov Institute of Semiconductor Physics National Academy of Sciences of Ukraine, Kyiv, Ukraine
| | - Sergei I Kozlovskiy
- V. E. Lashkaryov Institute of Semiconductor Physics National Academy of Sciences of Ukraine, Kyiv, Ukraine
| | - Nicolai N Sharan
- V. E. Lashkaryov Institute of Semiconductor Physics National Academy of Sciences of Ukraine, Kyiv, Ukraine
| | - Eugeniy F Venger
- V. E. Lashkaryov Institute of Semiconductor Physics National Academy of Sciences of Ukraine, Kyiv, Ukraine
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Vos M, Grande PL. Model dielectric functions for ion stopping: The relation between their shell corrections, plasmon dispersion and Compton profiles. ADVANCES IN QUANTUM CHEMISTRY 2022. [DOI: 10.1016/bs.aiq.2022.07.001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Influence of plasmon excitations on atomic-resolution quantitative 4D scanning transmission electron microscopy. Sci Rep 2020; 10:17890. [PMID: 33087734 PMCID: PMC7578809 DOI: 10.1038/s41598-020-74434-w] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/15/2020] [Accepted: 10/01/2020] [Indexed: 11/12/2022] Open
Abstract
Scanning transmission electron microscopy (STEM) allows to gain quantitative information on the atomic-scale structure and composition of materials, satisfying one of todays major needs in the development of novel nanoscale devices. The aim of this study is to quantify the impact of inelastic, i.e. plasmon excitations (PE), on the angular dependence of STEM intensities and answer the question whether these excitations are responsible for a drastic mismatch between experiments and contemporary image simulations observed at scattering angles below \documentclass[12pt]{minimal}
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\begin{document}$$\sim $$\end{document}∼ 40 mrad. For the two materials silicon and platinum, the angular dependencies of elastic and inelastic scattering are investigated. We utilize energy filtering in two complementary microscopes, which are representative for the systems used for quantitative STEM, to form position-averaged diffraction patterns as well as atomically resolved 4D STEM data sets for different energy ranges. The resulting five-dimensional data are used to elucidate the distinct features in real and momentum space for different energy losses. We find different angular distributions for the elastic and inelastic scattering, resulting in an increased low-angle intensity (\documentclass[12pt]{minimal}
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\begin{document}$$\sim $$\end{document}∼ 10–40 mrad). The ratio of inelastic/elastic scattering increases with rising sample thickness, while the general shape of the angular dependency is maintained. Moreover, the ratio increases with the distance to an atomic column in the low-angle regime. Since PE are usually neglected in image simulations, consequently the experimental intensity is underestimated at these angles, which especially affects bright field or low-angle annular dark field imaging. The high-angle regime, however, is unaffected. In addition, we find negligible impact of inelastic scattering on first-moment imaging in momentum-resolved STEM, which is important for STEM techniques to measure internal electric fields in functional nanostructures. To resolve the discrepancies between experiment and simulation, we present an adopted simulation scheme including PE. This study highlights the necessity to take into account PE to achieve quantitative agreement between simulation and experiment. Besides solving the fundamental question of missing physics in established simulations, this finally allows for the quantitative evaluation of low-angle scattering, which contains valuable information about the material investigated.
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Zhu Y, Yuan W, Li W, Sun H, Qi K, Yu Y. TE-polarized design for metallic slit lenses: a way to deep-subwavelength focusing over a broad wavelength range. OPTICS LETTERS 2018; 43:206-209. [PMID: 29328239 DOI: 10.1364/ol.43.000206] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/08/2017] [Accepted: 11/27/2017] [Indexed: 06/07/2023]
Abstract
Slit arrays based on noble metals have been widely proposed as planar transverse-magnetic (TM)-lenses, illuminated by a linearly polarized light with the polarization perpendicular to slits and implementing the focusing capability beyond the diffraction limit. However, due to intrinsic plasmonic losses, these TM-lenses cannot work efficiently in the ultraviolet wavelengths. In this Letter, taking advantage of the unique transmission through metallic slits not involving plasmonic losses, a metallic slit array with transverse-electric (TE)-polarized design is proposed, showing for the first time, to the best of our knowledge, the realization of sub-diffraction-limit focusing for ultraviolet light. Additionally, in contrast to the situations of TM-lenses, a wider slit leads to a greater phase delay and much larger slits can be arranged to construct the TE-lenses, which is quite beneficial for practical fabrication. Furthermore, deep-subwavelength focusing can be achieved by utilizing the immersing technology.
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Misra AP, Chatterjee D, Brodin G. Effects of group velocity and multiplasmon resonances on the modulation of Langmuir waves in a degenerate plasma. Phys Rev E 2017; 96:053209. [PMID: 29347638 DOI: 10.1103/physreve.96.053209] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/16/2017] [Indexed: 11/07/2022]
Abstract
We study the nonlinear wave modulation of Langmuir waves (LWs) in a fully degenerate plasma. Using the Wigner-Moyal equation coupled to the Poisson equation and the multiple scale expansion technique, a modified nonlocal nonlinear Schrödinger (NLS) equation is derived which governs the evolution of LW envelopes in degenerate plasmas. The nonlocal nonlinearity in the NLS equation appears due to the group velocity and multiplasmon resonances, i.e., resonances induced by the simultaneous particle absorption of multiple wave quanta. We focus on the regime where the resonant velocity of electrons is larger than the Fermi velocity and thereby the linear Landau damping is forbidden. As a result, the nonlinear wave-particle resonances due to the group velocity and multiplasmon processes are the dominant mechanisms for wave-particle interaction. It is found that in contrast to classical or semiclassical plasmas, the group velocity resonance does not necessarily give rise the wave damping in the strong quantum regime where ℏk∼mv_{F} with ℏ denoting the reduced Planck's constant, m the electron mass, and v_{F} the Fermi velocity; however, the three-plasmon process plays a dominant role in the nonlinear Landau damping of wave envelopes. In this regime, the decay rate of the wave amplitude is also found to be higher compared to that in the modest quantum regime where the multiplasmon effects are forbidden.
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Affiliation(s)
- Amar P Misra
- Department of Mathematics, Siksha Bhavana, Visva-Bharati University, Santiniketan-731 235, India
| | - Debjani Chatterjee
- Department of Mathematics, Siksha Bhavana, Visva-Bharati University, Santiniketan-731 235, India
| | - Gert Brodin
- Department of Physics, Umeå University, SE-901 87 Umeå, Sweden
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Pines D. Emergent behavior in strongly correlated electron systems. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2016; 79:092501. [PMID: 27484183 DOI: 10.1088/0034-4885/79/9/092501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
I describe early work on strongly correlated electron systems (SCES) from the perspective of a theoretical physicist who, while a participant in their reductionist top-down beginnings, is now part of the paradigm change to a bottom-up 'emergent' approach with its focus on using phenomenology to find the organizing principles responsible for their emergent behavior disclosed by experiment-and only then constructing microscopic models that incorporate these. After considering the organizing principles responsible for the emergence of plasmons, quasiparticles, and conventional superconductivity in SCES, I consider their application to three of SCES's sister systems, the helium liquids, nuclei, and the nuclear matter found in neutron stars. I note some recent applications of the random phase approximation and examine briefly the role that paradigm change is playing in two central problems in our field: understanding the emergence and subsequent behavior of heavy electrons in Kondo lattice materials; and finding the mechanism for the unconventional superconductivity found in heavy electron, organic, cuprate, and iron-based materials.
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Affiliation(s)
- David Pines
- Santa Fe Institute and Physics Department, U C Davis and UIUC
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Egerton R, Mcleod R, Malac M. Validity of the dipole approximation in TEM-EELS studies. Microsc Res Tech 2014; 77:773-8. [DOI: 10.1002/jemt.22398] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/10/2014] [Accepted: 06/17/2014] [Indexed: 11/10/2022]
Affiliation(s)
- R.F. Egerton
- Physics Department; University of Alberta; Edmonton Canada T6G 2E1
| | - R.A. Mcleod
- Physics Department; University of Alberta; Edmonton Canada T6G 2E1
- National Institute for Nanotechnology; Edmonton Canada T6G 2M9
| | - M. Malac
- Physics Department; University of Alberta; Edmonton Canada T6G 2E1
- National Institute for Nanotechnology; Edmonton Canada T6G 2M9
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Burge RE. Mechanisms of contrast and image formation of biological specimens in the transmission electron microscope. J Microsc 2011. [DOI: 10.1111/j.1365-2818.1973.tb03832.x] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Bertoni G, Verbeeck J, Brosens F. Fitting the momentum dependent loss function in EELS. Microsc Res Tech 2011; 74:212-8. [DOI: 10.1002/jemt.20894] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/17/2010] [Accepted: 05/22/2010] [Indexed: 11/12/2022]
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Else D, Kompaneets R, Vladimirov SV. Shielding of a moving test charge in a quantum plasma. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 82:026410. [PMID: 20866929 DOI: 10.1103/physreve.82.026410] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/27/2010] [Revised: 07/31/2010] [Indexed: 05/29/2023]
Abstract
The linearized potential of a moving test charge in a one-component fully degenerate fermion plasma is studied using the Lindhard dielectric function. The motion is found to greatly enhance the Friedel oscillations behind the charge, especially for velocities larger than half of the Fermi velocity, in which case the asymptotic behavior of their amplitude changes from 1/r3 to 1/r2.5. In the absence of the quantum recoil (tunneling) the potential reduces to a form similar to that in a classical Maxwellian plasma, with a difference being that the plasma oscillations behind the charge at velocities larger than the Fermi velocity are not Landau damped.
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Affiliation(s)
- D Else
- School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia
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Duke CB. Determination of the Structure and Properties of Solid Surfaces by Electron Diffraction and Emission. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470143797.ch1] [Citation(s) in RCA: 52] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/09/2023]
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Kloos T. Plasmaschwingungen in Al, Mg, Li, Na und K angeregt durch schnelle Elektronen. ACTA ACUST UNITED AC 2005. [DOI: 10.1007/bf01397716] [Citation(s) in RCA: 99] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Toulouse J, Colonna F, Savin A. Short-range exchange and correlation energy density functionals: Beyond the local-density approximation. J Chem Phys 2005; 122:14110. [PMID: 15638645 DOI: 10.1063/1.1824896] [Citation(s) in RCA: 115] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We propose approximations which go beyond the local-density approximation for the short-range exchange and correlation density functionals appearing in a multideterminantal extension of the Kohn-Sham scheme. A first approximation consists of defining locally the range of the interaction in the correlation functional. Another approximation, more conventional, is based on a gradient expansion of the short-range exchange-correlation functional. Finally, we also test a short-range generalized-gradient approximation by extending the Perdew-Burke-Ernzerhof exchange-correlation functional to short-range interactions.
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Affiliation(s)
- Julien Toulouse
- Laboratoire de Chimie Théorique, Centre National de la Recherche Scientifique et Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris, France
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Rooke GA. Interpretation of aluminium X-ray band spectra II. Determination of effective potentials from experimental L23 emission spectra. ACTA ACUST UNITED AC 2002. [DOI: 10.1088/0022-3719/1/3/328] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Burge RE, Misell DL, Smart JW. The small-angle scattering of electrons in thin films of evaporated carbon. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3719/3/8/004] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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17
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Zacharias P. Behaviour of collective volume excitations in aluminium near the 'critical wavevector': transition into single-particle excitation. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3719/7/1/008] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Zacharias P. Behaviour of collective volume excitations in aluminum near the 'critical wavevector' (transition into single particle excitation). ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0305-4608/5/4/009] [Citation(s) in RCA: 67] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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20
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Rorison JM, Herbert DC. Electron-electron interaction in semiconductors with application to hot-electron transistors in silicon and gallium arsenide. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/19/21/006] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Studies of segregation and the initial stages of precipitation at grain boundaries in an aluminium 7 wt. % magnesium alloy with an energy analysing electron microscope. ACTA ACUST UNITED AC 1997. [DOI: 10.1098/rspa.1968.0189] [Citation(s) in RCA: 60] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
A new high resolution technique has been developed for the study of segregation and associated phenomena; a microanalysis is, in effect, performed on a highly magnified image of a specimen when examined by transmission electron microscopy. The method depends on the facts that electrons lose energy on transmission through the specimen, that the energy losses are characteristic of the material of the specimen, and that these energy loss electrons contribute to a normal image in the electron microscope. The spatial resolution of the technique is estimated to be about 10 nm. In the special case presented here, the measurements are semi-quantitative and concentration changes of about 1 wt. % are detectable. The technique is applied to the study of precipitation and associated segregation of magnesium at high angle grain boundaries in an aluminium 7 wt. % magnesium alloy after it has been quenched from different solution treatment temperatures. The results of the investigation are consistent with precipitate nucleation at the boundaries during the quench at a quench rate of 3 x 10
-4
°C s
-1
. Non-equilibrium segregation of magnesium to the boundaries is also indicated, and a model based on the converse of the Kirkendall effect is proposed to explain this.
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Hunter KL, Snook IK, Wagenfeld HK. Monte Carlo study of electron transmission and backscattering from metallic thin films. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:4507-4510. [PMID: 9986408 DOI: 10.1103/physrevb.54.4507] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Valence electron excitations and plasmon oscillations in thin films, surfaces, interfaces and small particles. Micron 1996. [DOI: 10.1016/0968-4328(96)00011-x] [Citation(s) in RCA: 88] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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da Providência J, Barberán N. Nonlocal exchange effects on the bulk plasmon dispersion relation. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:6935-6937. [PMID: 10000458 DOI: 10.1103/physrevb.45.6935] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Serra L, Garcias F, Barranco M, Barberán N, Navarro J. Bulk-plasmon dispersion relations in metals. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:1492-1498. [PMID: 9999682 DOI: 10.1103/physrevb.44.1492] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Glezos NM. Influence of exchange effects on the plasmon excitation spectrum of metals: Application in the case of beryllium. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:7538-7545. [PMID: 9996370 DOI: 10.1103/physrevb.43.7538] [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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Xia X, Zhu X, Quinn JJ. Quasiparticle lifetime of excited carriers in a semiconductor superlattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:3305-3309. [PMID: 9948631 DOI: 10.1103/physrevb.39.3305] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kobayashi A, Lai WY. Dynamical effects on phonon emission in a polar electron gas. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:8151-8154. [PMID: 9942618 DOI: 10.1103/physrevb.36.8151] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Belitz D. Plasmon linewidth in metals and semiconductors: A memory-function approach. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:8264-8269. [PMID: 9939535 DOI: 10.1103/physrevb.34.8264] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Zhu X, Overhauser AW. Plasmon-pole and paramagnon-pole model of an electron liquid. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 33:925-936. [PMID: 9938355 DOI: 10.1103/physrevb.33.925] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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DuBois DF, Kivelson MG. Electron Correlational Effects on Plasmon Damping and Ultraviolet Absorption in Metals. ACTA ACUST UNITED AC 1969. [DOI: 10.1103/physrev.186.409] [Citation(s) in RCA: 78] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Duke CB, Rice MJ, Steinrisser F. Tunneling Measurement of Electron-Plasmon Interaction in Degenerate Semiconductors. ACTA ACUST UNITED AC 1969. [DOI: 10.1103/physrev.181.733] [Citation(s) in RCA: 30] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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JOHNSON CD, RYMER TB. Existence of Collective-excitation Energy Losses from an Electron Beam passing through Biological Materials. Nature 1967. [DOI: 10.1038/2131045a0] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Swanson N, Powell CJ. Inelastic Scattering Cross Sections for 20-keV Electrons in Al, Be, and Polystyrene. ACTA ACUST UNITED AC 1966. [DOI: 10.1103/physrev.145.195] [Citation(s) in RCA: 58] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Theoretical intensity estimation of plasmon satellite bands in soft X-ray emission spectra. ACTA ACUST UNITED AC 1964. [DOI: 10.1016/0031-9163(64)90336-1] [Citation(s) in RCA: 34] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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DuBois DF, Gilinsky V, Kivelson MG. Propagation of Electromagnetic Waves in Plasmas. ACTA ACUST UNITED AC 1963. [DOI: 10.1103/physrev.129.2376] [Citation(s) in RCA: 80] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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von Roos O, Zmuidzinas JS. Effect of Electron Exchange on the Dispersion Relation of Plasmons. ACTA ACUST UNITED AC 1961. [DOI: 10.1103/physrev.121.941] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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