Position and momentum mapping of vibrations in graphene nanostructures.
Journal
Nature
ISSN: 1476-4687
Titre abrégé: Nature
Pays: England
ID NLM: 0410462
Informations de publication
Date de publication:
09 2019
09 2019
Historique:
received:
17
12
2018
accepted:
03
06
2019
pubmed:
14
8
2019
medline:
14
8
2019
entrez:
14
8
2019
Statut:
ppublish
Résumé
Propagating atomic vibrational waves-phonons-determine important thermal, mechanical, optoelectronic and transport characteristics of materials. Thus a knowledge of phonon dispersion (that is, the dependence of vibrational energy on momentum) is a key part of our understanding and optimization of a material's behaviour. However, the phonon dispersion of a free-standing monolayer of a two-dimensional material such as graphene, and its local variations, have remained elusive for the past decade because of the experimental limitations of vibrational spectroscopy. Even though electron energy loss spectroscopy (EELS) in transmission has recently been shown to probe local vibrational charge responses
Identifiants
pubmed: 31406319
doi: 10.1038/s41586-019-1477-8
pii: 10.1038/s41586-019-1477-8
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
247-250Références
Krivanek, O. L. et al. Vibrational spectroscopy in the electron microscope. Nature 514, 209–212 (2014).
doi: 10.1038/nature13870
Lagos, M. J., Trügler, A., Hohenester, U. & Batson, P. E. Mapping vibrational surface and bulk modes in a single nanocube. Nature 543, 529–532 (2017).
doi: 10.1038/nature21699
Hage, F. S. et al. Nanoscale momentum-resolved vibrational spectroscopy. Sci. Adv. 1, eaar7495 (2018).
doi: 10.1126/sciadv.aar7495
Dwyer, C. et al. Electron-beam mapping of vibrational modes with nanometer spatial resolution. Phys. Rev. Lett. 117, 256101 (2016).
doi: 10.1103/PhysRevLett.117.256101
Maultzsch, J., Reich, S., Thomsen, C., Requardt, H. & Ordejón, P. Phonon dispersion in graphite. Phys. Rev. Lett. 92, 075501 (2004).
doi: 10.1103/PhysRevLett.92.075501
Mohr, M. et al. Phonon dispersion of graphite by inelastic X-ray scattering. Phys. Rev. B 76, 035439 (2007).
doi: 10.1103/PhysRevB.76.035439
Nicklow, R., Wakabayashi, N. & Smith, H. G. Lattice dynamics of pyrolytic graphite. Phys. Rev. B 5, 4951–4962 (1972).
doi: 10.1103/PhysRevB.5.4951
Vig, S. et al. Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS). SciPost Phys. 3, 026 (2017).
doi: 10.21468/SciPostPhys.3.4.026
Oshima, C., Aizawa, T., Souda, R., Ishizawa, Y. & Sumiyoshi, Y. Surface phonon dispersion curves of graphite (0001) over the entire energy region. Solid State Commun. 65, 1601–1604 (1988).
doi: 10.1016/0038-1098(88)90660-6
Giannozzi, P., De Gironcoli, S., Pavone, P. & Baroni, S. Ab initio calculation of phonon dispersions in semiconductors. Phys. Rev. B 43, 7231–7242 (1991).
doi: 10.1103/PhysRevB.43.7231
Van Hove, L. Correlations in space and time and Born approximation scattering in systems of interacting particles. Phys. Rev. 95, 249–262 (1954).
doi: 10.1103/PhysRev.95.249
Roth, F., König, A., Fink, J., Büchner, B. & Knupfer, M. Electron energy-loss spectroscopy: a versatile tool for the investigations of plasmonic excitations. J. Electron Spectrosc. Relat. Phenom. 195, 85–95 (2014).
doi: 10.1016/j.elspec.2014.05.007
Nicholls, R. J. et al. Theory of momentum-resolved phonon spectroscopy in the electron microscope. Phys. Rev. B 99, 094105 (2019).
Vogl, P. Microscopic theory of electron-phonon interaction in insulators or semiconductors. Phys. Rev. B 13, 694–704 (1976).
doi: 10.1103/PhysRevB.13.694
Falter, C., Ludwig, W., Maradudin, A. A., Selmke, M. & Zierau, W. Valence charge density and effective charges within the density-response theory. Phys. Rev. B 32, 6510–6517 (1985).
doi: 10.1103/PhysRevB.32.6510
Ghosez, P., Michenaud, J.-P. & Gonze, X. Dynamical atomic charges: the case of ABO
doi: 10.1103/PhysRevB.58.6224
Muller, D. & Silcox, J. Delocalization in inelastic scattering. Ultramicroscopy 59, 195–213 (1995).
doi: 10.1016/0304-3991(95)00029-Z
Hage, F. S., Kepaptsoglou, D. M., Ramasse, Q. M. & Allen, L. J. Phonon spectroscopy at atomic resolution. Phys. Rev. Lett. 122, 016103 (2019).
doi: 10.1103/PhysRevLett.122.016103
Venkatraman, K., Levin, B. D. A., March, K., Rez, P. & Crozier, P. A. Vibrational spectroscopy at atomic resolution with electron impact scattering. Preprint at https://arXiv.org/abs/1812.08895 (2018).
Sohier, T., Gibertini, M., Calandra, M., Mauri, F. & Marzari, N. Breakdown of optical phonons’ splitting in two-dimensional materials. Nano Lett. 17, 3758–3763 (2017).
doi: 10.1021/acs.nanolett.7b01090
Giannozzi, P. et al. QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials. J. Phys. Condens. Matter 21, 395502 (2009).
doi: 10.1088/0953-8984/21/39/395502