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Benedek G, Bernasconi M, Campi D, Silkin IV, Chernov IP, Silkin VM, Chulkov EV, Echenique PM, Toennies JP, Anemone G, Al Taleb A, Miranda R, Farías D. Evidence for a spin acoustic surface plasmon from inelastic atom scattering. Sci Rep 2021; 11:1506. [PMID: 33452337 PMCID: PMC7810840 DOI: 10.1038/s41598-021-81018-9] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2020] [Accepted: 12/29/2020] [Indexed: 11/09/2022] Open
Abstract
Closed-shell atoms scattered from a metal surface exchange energy and momentum with surface phonons mostly via the interposed surface valence electrons, i.e., via the creation of virtual electron-hole pairs. The latter can then decay into surface phonons via electron-phonon interaction, as well as into acoustic surface plasmons (ASPs). While the first channel is the basis of the current inelastic atom scattering (IAS) surface-phonon spectroscopy, no attempt to observe ASPs with IAS has been made so far. In this study we provide evidence of ASP in Ni(111) with both Ne atom scattering and He atom scattering. While the former measurements confirm and extend so far unexplained data, the latter illustrate the coupling of ASP with phonons inside the surface-projected phonon continuum, leading to a substantial reduction of the ASP velocity and possibly to avoided crossing with the optical surface phonon branches. The analysis is substantiated by a self-consistent calculation of the surface response function to atom collisions and of the first-principle surface-phonon dynamics of Ni(111). It is shown that in Ni(111) ASP originate from the majority-spin Shockley surface state and are therefore collective oscillation of surface electrons with the same spin, i.e. it represents a new kind of collective quasiparticle: a Spin Acoustic Surface Plasmon (SASP).
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Affiliation(s)
- G Benedek
- Dipartimento di Scienza dei Materiali, Universitá di Milano-Bicocca, Via R. Cozzi 55, 20125, Milan, Italy.,Donostia International Physics Center (DIPC), 20018, San Sebastián/Donostia, Basque Country, Spain
| | - M Bernasconi
- Dipartimento di Scienza dei Materiali, Universitá di Milano-Bicocca, Via R. Cozzi 55, 20125, Milan, Italy
| | - D Campi
- Dipartimento di Scienza dei Materiali, Universitá di Milano-Bicocca, Via R. Cozzi 55, 20125, Milan, Italy.,École Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland
| | - I V Silkin
- Tomsk State University, 634050, Tomsk, Russia
| | - I P Chernov
- Engineering School of Nuclear Technology, Tomsk Polytechnic University, 634050, Tomsk, Russia
| | - V M Silkin
- Donostia International Physics Center (DIPC), 20018, San Sebastián/Donostia, Basque Country, Spain.,Departamento de Polímeros y Materiales Avanzados: Física, Química y Tecnología, Facultad de Ciencias Químicas, Universidad del País Vasco UPV/EHU, 20080, San Sebastián/Donostia, Basque Country, Spain.,IKERBASQUE, Basque Foundation for Science, 48013, Bilbao, Basque Country, Spain
| | - E V Chulkov
- Donostia International Physics Center (DIPC), 20018, San Sebastián/Donostia, Basque Country, Spain.,Departamento de Polímeros y Materiales Avanzados: Física, Química y Tecnología, Facultad de Ciencias Químicas, Universidad del País Vasco UPV/EHU, 20080, San Sebastián/Donostia, Basque Country, Spain.,Centro de Fisica de Materiales, Centro Mixto CSIC-UPV/EHU, 20018, San Sebastian/Donostia, Basque Country, Spain.,St. Petersburg State University, 198504, St. Petersburg, Russia
| | - P M Echenique
- Donostia International Physics Center (DIPC), 20018, San Sebastián/Donostia, Basque Country, Spain.,Departamento de Polímeros y Materiales Avanzados: Física, Química y Tecnología, Facultad de Ciencias Químicas, Universidad del País Vasco UPV/EHU, 20080, San Sebastián/Donostia, Basque Country, Spain.,Centro de Fisica de Materiales, Centro Mixto CSIC-UPV/EHU, 20018, San Sebastian/Donostia, Basque Country, Spain
| | - J P Toennies
- Max-Planck-Institut für Dynamik und Selbstorganisation, Bunsenstraße 10, 37073, Göttingen, Germany
| | - G Anemone
- Departamento de Física de la Materia Condensada, Universidad Autónoma de Madrid, 28049, Madrid, Spain
| | - A Al Taleb
- Departamento de Física de la Materia Condensada, Universidad Autónoma de Madrid, 28049, Madrid, Spain
| | - R Miranda
- Departamento de Física de la Materia Condensada, Universidad Autónoma de Madrid, 28049, Madrid, Spain.,Instituto Madrileño de Estudios Avanzados en Nanociencia (IMDEA-Nanociencia), 28049, Madrid, Spain.,Instituto "Nicolás Cabrera", Universidad Autónoma de Madrid, 28049, Madrid, Spain.,Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, 28049, Madrid, Spain
| | - D Farías
- Departamento de Física de la Materia Condensada, Universidad Autónoma de Madrid, 28049, Madrid, Spain. .,Instituto "Nicolás Cabrera", Universidad Autónoma de Madrid, 28049, Madrid, Spain. .,Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, 28049, Madrid, Spain.
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Vattuone L, Smerieri M, Langer T, Tegenkamp C, Pfnür H, Silkin VM, Chulkov EV, Echenique PM, Rocca M. Correlated motion of electrons on the Au(111) surface: anomalous acoustic surface-plasmon dispersion and single-particle excitations. PHYSICAL REVIEW LETTERS 2013; 110:127405. [PMID: 25166849 DOI: 10.1103/physrevlett.110.127405] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/08/2012] [Indexed: 06/03/2023]
Abstract
The linear dispersion of the low-dimensional acoustic surface plasmon (ASP) opens perspectives in energy conversion, transport, and confinement far below optical frequencies. Although the ASP exists in a wide class of materials, ranging from metal surfaces and ultrathin films to graphene and topological insulators, its properties are still largely unexplored. Taking Au(111) as a model system, our combined experimental and theoretical study revealed an intriguing interplay between collective and single particle excitations, causing the ASP associated with the Shockley surface state to be embedded within the intraband transitions without losing its sharp character and linear dispersion.
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Affiliation(s)
- L Vattuone
- Dipartimento di Fisica dell'Universitá di Genova and IMEM-CNR Unitá Operativa di Genova, Via Dodecaneso 33, 15146 Genova, Italy
| | - M Smerieri
- Dipartimento di Fisica dell'Universitá di Genova and IMEM-CNR Unitá Operativa di Genova, Via Dodecaneso 33, 15146 Genova, Italy
| | - T Langer
- Institut für Festkörperphysik, Abteilung Atomare und Molekulare Strukturen, Leibniz Universität Hannover, Appelstraße 2, D-30167 Hannover, Germany
| | - C Tegenkamp
- Institut für Festkörperphysik, Abteilung Atomare und Molekulare Strukturen, Leibniz Universität Hannover, Appelstraße 2, D-30167 Hannover, Germany
| | - H Pfnür
- Institut für Festkörperphysik, Abteilung Atomare und Molekulare Strukturen, Leibniz Universität Hannover, Appelstraße 2, D-30167 Hannover, Germany
| | - V M Silkin
- Departamento de Física de Materiales, Facultad de Ciencias Químicas, Universidad del País Vasco, Apartado 1072, 20080 San Sebastián/Donostia, Spain and Donostia International Physics Center (DIPC), Paseo de Manuel Lardizabal 4, 20018 San Sebastián/Donostia, Spain and IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
| | - E V Chulkov
- Departamento de Física de Materiales, Facultad de Ciencias Químicas, Universidad del País Vasco, Apartado 1072, 20080 San Sebastián/Donostia, Spain and Donostia International Physics Center (DIPC), Paseo de Manuel Lardizabal 4, 20018 San Sebastián/Donostia, Spain and Centro de Física de Materiales CFM-Materials Physics Center MPC, Centro Mixto CSIC-UPV/EHU, Paseo de Manuel Lardizabal 5, 20018 San Sebastián/Donostia, Spain
| | - P M Echenique
- Departamento de Física de Materiales, Facultad de Ciencias Químicas, Universidad del País Vasco, Apartado 1072, 20080 San Sebastián/Donostia, Spain and Donostia International Physics Center (DIPC), Paseo de Manuel Lardizabal 4, 20018 San Sebastián/Donostia, Spain and Centro de Física de Materiales CFM-Materials Physics Center MPC, Centro Mixto CSIC-UPV/EHU, Paseo de Manuel Lardizabal 5, 20018 San Sebastián/Donostia, Spain
| | - M Rocca
- Dipartimento di Fisica dell'Universitá di Genova and IMEM-CNR Unitá Operativa di Genova, Via Dodecaneso 33, 15146 Genova, Italy
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5
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Da B, Mao SF, Ding ZJ. Validity of the semi-classical approach for calculation of the surface excitation parameter. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2011; 23:395003. [PMID: 21918291 DOI: 10.1088/0953-8984/23/39/395003] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
The problem of surface plasmon excitation by moving charges has been elaborated by several different approaches, mainly based on dielectric response theory within either semi-classical or quantum mechanical frameworks. In this work, a comparison of the surface excitation effect between two different frameworks is made by calculation of the differential inverse inelastic mean free path (DIIMFP) and a Monte Carlo simulation of reflection electron energy loss spectroscopy (REELS) spectra. A semi-classical modeling of the interaction between electrons and a solid surface is based on analyzing the work done by moving electrons; the stopping power and inelastic cross section are derived with the induced potential. On the other hand, a quantum mechanical approach is based on derivation of the complex inhomogeneous self-energy of the electrons. The numerical calculation shows that the semi-classical model presents almost the same values of DIIMFP as by the quantum model except at the glancing condition. The simulation of REELS spectra for Ag and SiO(2) as well as a comparison with experimental spectra also confirms that a good agreement with the spectral shape is found among the two simulation results and the experimental data.
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Affiliation(s)
- B Da
- Hefei National Laboratory for Physical Sciences at Microscale and Department of Physics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
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Park SJ, Palmer RE. Plasmon dispersion of the Au(111) surface with and without self-assembled monolayers. PHYSICAL REVIEW LETTERS 2009; 102:216805. [PMID: 19519127 DOI: 10.1103/physrevlett.102.216805] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/11/2008] [Indexed: 05/27/2023]
Abstract
The surface plasmon dispersion of gold films with and without chemisorbed, alkane thiol self-assembled monolayers (SAMs) has been investigated using high resolution electron energy loss spectroscopy (HREELS). For a bare Au(111) film, the surface plasmon energy (2.49 eV at the zone center) shows a positive dispersion. After adsorption of ethylbenzenethiol or dodecanethiol SAMs, the plasmon energy at the zone center blueshifts and the dispersion switches sign to become negative, thus mimicking the behavior of a free-electron system. This striking behavior represents a benchmark for models of the electronic structure of the gold-sulfur interface, as manifest both in SAMs and in monolayer-protected nanoparticles.
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Affiliation(s)
- Sung Jin Park
- Nanoscale Physics Research Laboratory, School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham, B15 2TT, United Kingdom
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Marušić L, Despoja V, Sunjić M. Surface plasmon and electron-hole structures in the excitation spectra of thin films. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2006; 18:4253-4263. [PMID: 21690779 DOI: 10.1088/0953-8984/18/17/013] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
Surface excitation spectra are calculated, including both collective and single-particle modes, and examined in detail. This is achieved by calculating the non-local dielectric function ε(p)(Q,z,z('),ω) of the thin jellium film within the random phase approximation (RPA) (using local density approximation wavefunctions which actually takes us beyond the RPA), from which we then derive the spectral function. The high precision of the calculations enables us to analyse not only the collective (surface plasmon) modes and their dependence on the film thickness, but also the intra-band electron-hole excitations, and for the first time oscillatory structures due to inter-band transitions. The spectra are then analysed with special attention to their dependence on the slab thickness, and the periodic peaks observed due to single-particle excitations in the spectra.
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