Abstract
The dynamics of the reaction, in particular, the screening reaction, of the electron gas to the formation of a single-particle electronic excitation, electron or hole, in different spectroscopies gives rise not only to a reduction of spectral weight of the main quasiparticle peak but also to the generation of satellite structures to fulfill the sum rule for the spectral function. The formation of satellite structures is mainly illustrated in terms of intrinsic losses and the sudden limit. The generation of multiple-plasmon losses is discussed in detail. The relation to the GW approximation is described within the Blomberg-Bergersen-Kus method. Its validity is demonstrated in the limit of dispersionless fermions. As examples core-hole and valence-band photoemission spectroscopies are described and discussed in the light of available experiments.
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References
J.B. Pendry, Theory of inverse photoemission. J. Phys. C 14, 1381–1391 (1981)
G.D. Mahan, Theory of photoemission in simple metals. Phys. Rev. B 2, 4334–4350 (1970)
C.-O. Almbladh, L. Hedin, Beyond the one-electron model: many-body effects in atoms, molecules, and solids, in Handbook of Synchrotron Radiation, vol. 1, ed. by E.E. Koch (North Holland, Amsterdam, 1983), pp. 607–904
C.N. Berglund, W.E. Spicer, Photoemission studies of copper and silver. Theor. Phys. Rev. 136, A1030–A1044 (1964)
F. Bechstedt, K. Tenelsen, B. Adolph, R. del Sole, Compensation of dynamical quasiparticle and vertex corrections in optical spectra. Phys. Rev. Lett. 78, 1528–1531 (1997)
L. Hedin, J. Michiels, J. Inglesfield, Transition from the adiabatic to the sudden limit in core-electron photoemission. Phys. Rev. B 58, 15565–15582 (1998)
A. Damascelli, Z. Hussain, Z.-X. Shen, Angle-resolved photoemission studies of the cuprate superconductors. Rev. Mod. Phys. 75, 473–541 (2003)
A. Einstein, Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt. Ann. Phys. 322, 132–148 (1905)
R. Graupner, M. Hollering, A. Ziegler, J. Ristein, L. Ley, A. Stampfl, Dispersions of surface states on diamond (100) and (111). Phys. Rev. B 55, 10841–10847 (1997)
H. Carstensen, R. Claessen, R. Manzke, M. Skibowski, Direct determination of III–V semiconductor surface band gaps. Phys. Rev. B 41, 9880–9885 (1990)
U. Höfer, High resolution photoelectron spectroscopy at surfaces: lineshapes, loss processes and applications. Ph.D. thesis. Technical University Munich (1989)
P. Steiner, H. Höchst, S. Hüfner, XPS investigation of simple metals. Z. Phys. B 30, 129–143 (1978)
D.C. Langreth, Singularities in the X-ray spectra of metals. Phys. Rev. B 1, 471–477 (1970)
P. Minnhagen, Exact numerical solutions of a Nozieres-de Dominicis-type model problem. Phys. Lett. A 56, 327–329 (1976)
E.P. Gross, Transformation theory, in Mathematical Methods in Solid State and Superfluid Theory, ed. by R.C. Clark, G.H. Derrick (Oliver and Boyd Inc, Edinburgh, 1969), pp. 46–120
B.I. Lundqvist, Single-particle spectrum of the degenerate electron gas. I. The structure of the spectral weight function. Phys. Kondens. Mater. 6, 193–205 (1967)
B.I. Lundqvist, Single-particle spectrum of the degenerate electron gas. II. Numerical results for electrons coupled to plasmons. Phys. Kondens. Mater. 6, 206–217 (1967)
B.I. Lundqvist, Single-particle spectrum of the degenerate electron gas. III. Numerical results in the random phase approximation. Phys. Kondens. Mater. 7, 117–123 (1968)
B.I. Lundqvist, Characteristic structure in core electron spectra of metals due to the electron-plasmon coupling. Phys. Kondens. Mater. 9, 236–248 (1969)
F. Aryasetiawan, L. Hedin, K. Karlsson, Multiple plasmon satellites in Na and Al spectral functions from ab initio cumulant expansion. Phys. Rev. Lett. 77, 2268–2271 (1996)
B. Holm, U. von Barth, Fully self-consistent GW self-energy of the electron gas. Phys. Rev. B 57, 2108–2117 (1998)
C. Blomberg, B. Bergersen, Spurious structure from approximations to the Dyson equation. Can. J. Phys. 50, 2286–2293 (1972)
B. Bergersen, F.W. Kus, C. Blomberg, Single-particle Green’s function in the electron-plasmon approximation. Can. J. Phys. 51, 102–110 (1973)
F. Bechstedt, M. Fiedler, C. Kress, R. Del Sole, Dynamical screening and quasiparticle spectral functions for nonmetals. Phys. Rev. B 49, 7357–7362 (1994)
D.C. Langreth, X-ray emission and absorption, in Interaction of Radiation with Condensed Matter, vol. 1 (International Atomic Energy Agency, Vienna, 1977), pp. 295–318
F. Bechstedt, Electronic relaxation effects in core level spectra of solids. Phys. Status Solidi B 112, 9–49 (1982)
R. Kubo, Generalized cumulant expansion method. J. Phys. Soc. Jpn. 17, 1100–1120 (1962)
L. Hedin, Effects of recoil on shake-up spectra in metals. Phys. Scr. 21, 477–480 (1980)
G.D. Mahan, Excitons in metals: infinite hole mass. Phys. Rev. 163, 612–617 (1967)
P. Noziéres, C.T. De Dominicis, Singularities in the X-ray absorption and emission of metals. III. One-body theory exact solution. Phys. Rev. 178, 1097–1107 (1969)
C.J. Vesely, D.L. Kinston, D.W. Langer, X-ray photoemission studies of silicon and germanium. Phys. Status Solidi B 59, 121–132 (1973)
M. Guzzo, G. Lani, F. Sottile, P. Romaniello, M. Gatti, J.J. Kas, J.J. Rehr, M.G. Silly, F. Sirotti, L. Reining, Valence electron photoemission spectrum of semiconductors: ab initio description of multiple satellites. Phys. Rev. Lett. 107, 166401 (2011)
M. Guzzo, Dynamical correlation in solids: a perspective in photoelectron spectroscopy. Ph.D. thesis. Ecole Polytechnique, Palaiseau (2012)
M. Guzzo, J.J. Kas, F. Sottile, M.G. Silly, F. Sirotti, J.J. Rehr, L. Reining, Plasmon satellites in valence-band photoemission spectroscopy. Eur. Phys. J. B 85, 324–330 (2012)
J. Lischner, D. Vigil-Fowler, S.G. Louie, Physical origin of satellites in photoemission of doped graphene: an ab initio GW plus cumulant study. Phys. Rev. Lett. 110, 146801 (2013)
P. Steiner, H. Höchst, S. Hüfner, Simple metals, in Photoemission in Solids II, ed. by L. Ley, M. Cardona. Topics of Applied Physics, vol. 27 (Springer, Heidelberg, 1979), pp. 349–372
M. Polini, R. Asgari, G. Borghi, Y. Barlas, T. Pereg-Barnea, A.H. MacDonald, Plasmons and the spectral function of graphene. Phys. Rev. B 77, 081411 (R) (2008)
E.H. Hwang, S. Das Sarma, Quasiparticle spectral function in doped graphene: electron-electron interaction effects in ARPES. Phys. Rev. B 77, 081412 (R) (2008)
E. Rotenberg, A. Bostwick, T. Ohta, J.L. McChesney, T. Seyller, K. Horn, Origin of the energy bandgap in epitaxial graphene. Nat. Mater. 7, 258–259 (2008)
A. Bostwick, F. Speck, T. Seyller, K. Horn, M. Polini, R. Asgar, A.H. MacDonald, E. Rotenberg, Observation of plasmarons in quasi-freestanding doped graphene. Science 328, 999–1002 (2010)
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Bechstedt, F. (2015). Satellites. In: Many-Body Approach to Electronic Excitations. Springer Series in Solid-State Sciences, vol 181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44593-8_17
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DOI: https://doi.org/10.1007/978-3-662-44593-8_17
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