Resonant inelastic x-ray scattering in metals: A diagrammatic approach
Abstract
We create a formalism to explore the Resonant Inelastic X-ray Scattering (RIXS) response in metals based on the diagrammatic expansion for its cross section. The standard method to the solution of the RIXS problem relies on two key approximations: short-range potentials and non-interacting conduction electrons. Yet, these approximations are inaccurate for charged particles in metals, where the long-range Coulomb interaction and dynamic screening effects are very important. Here, we study how to extract important information about collective excitations in the Coulomb plasma, plasmons and electron-hole pairs, from RIXS data. We find that single- and multi-plasmon excitations can easily be distinguished by positions of the corresponding peaks, singularities, and their intensities. We also discuss the hybrid processes, where plasmon emission is accompanied by excitation of electron-hole pairs, and study how they manifest themselves.
- Authors:
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1573866
- Alternate Identifier(s):
- OSTI ID: 1571406
- Report Number(s):
- BNL-212219-2019-JAAM
Journal ID: ISSN 2643-1564; PPRHAI; 033093
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Research
- Additional Journal Information:
- Journal Name: Physical Review Research Journal Volume: 1 Journal Issue: 3; Journal ID: ISSN 2643-1564
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Tsvelik, A. M., Konik, R. M., Prokof'ev, N. V., and Tupitsyn, I. S. Resonant inelastic x-ray scattering in metals: A diagrammatic approach. United States: N. p., 2019.
Web. doi:10.1103/PhysRevResearch.1.033093.
Tsvelik, A. M., Konik, R. M., Prokof'ev, N. V., & Tupitsyn, I. S. Resonant inelastic x-ray scattering in metals: A diagrammatic approach. United States. https://doi.org/10.1103/PhysRevResearch.1.033093
Tsvelik, A. M., Konik, R. M., Prokof'ev, N. V., and Tupitsyn, I. S. Mon .
"Resonant inelastic x-ray scattering in metals: A diagrammatic approach". United States. https://doi.org/10.1103/PhysRevResearch.1.033093.
@article{osti_1573866,
title = {Resonant inelastic x-ray scattering in metals: A diagrammatic approach},
author = {Tsvelik, A. M. and Konik, R. M. and Prokof'ev, N. V. and Tupitsyn, I. S.},
abstractNote = {We create a formalism to explore the Resonant Inelastic X-ray Scattering (RIXS) response in metals based on the diagrammatic expansion for its cross section. The standard method to the solution of the RIXS problem relies on two key approximations: short-range potentials and non-interacting conduction electrons. Yet, these approximations are inaccurate for charged particles in metals, where the long-range Coulomb interaction and dynamic screening effects are very important. Here, we study how to extract important information about collective excitations in the Coulomb plasma, plasmons and electron-hole pairs, from RIXS data. We find that single- and multi-plasmon excitations can easily be distinguished by positions of the corresponding peaks, singularities, and their intensities. We also discuss the hybrid processes, where plasmon emission is accompanied by excitation of electron-hole pairs, and study how they manifest themselves.},
doi = {10.1103/PhysRevResearch.1.033093},
journal = {Physical Review Research},
number = 3,
volume = 1,
place = {United States},
year = {Mon Nov 11 00:00:00 EST 2019},
month = {Mon Nov 11 00:00:00 EST 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevResearch.1.033093
https://doi.org/10.1103/PhysRevResearch.1.033093
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FIG. 1: (a) The lowest-order diagram for the indirect RIXS cross-section where the s-hole excites charge density fluctuations in the d-shell (the internal fermionic bubble) via the Coulomb potential VQ (dashed lines). (ωi,qi)/(ωf ,qf ) are the frequencies and momenta of incoming/outgoing photons. Energy and momentum transfer to the systemmore »
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Works referenced in this record:
Orthogonality catastrophe in Coulomb systems
journal, June 2019
- Tupitsyn, Igor S.; Prokof'ev, Nikolay V.
- Physical Review B, Vol. 99, Issue 24
Theoretical Study on Resonant Inelastic X-ray Scattering in Quasi-One-dimensional Cuprates
journal, July 2004
- Nomura, Takuji; Igarashi, Jun-ichi
- Journal of the Physical Society of Japan, Vol. 73, Issue 7
Electronic Raman scattering in correlated materials: A treatment of nonresonant, mixed, and resonant scattering using dynamical mean-field theory
journal, January 2005
- Shvaika, A. M.; Vorobyov, O.; Freericks, J. K.
- Physical Review B, Vol. 71, Issue 4
Three-dimensional collective charge excitations in electron-doped copper oxide superconductors
journal, October 2018
- Hepting, M.; Chaix, L.; Huang, E. W.
- Nature, Vol. 563, Issue 7731
Polaron Problem by Diagrammatic Quantum Monte Carlo
journal, September 1998
- Prokof'ev, Nikolai V.; Svistunov, Boris V.
- Physical Review Letters, Vol. 81, Issue 12
Unraveling the Nature of Charge Excitations in with Momentum-Resolved Cu -Edge Resonant Inelastic X-Ray Scattering
journal, October 2010
- Chen, C. -C.; Moritz, B.; Vernay, F.
- Physical Review Letters, Vol. 105, Issue 17
Resonant inelastic x-ray scattering as a probe of band structure effects in cuprates
journal, October 2016
- Kanász-Nagy, M.; Shi, Y.; Klich, I.
- Physical Review B, Vol. 94, Issue 16
Cu -edge resonant inelastic x-ray scattering in edge-sharing cuprates
journal, March 2008
- Vernay, F.; Moritz, B.; Elfimov, I. S.
- Physical Review B, Vol. 77, Issue 10
Directly Characterizing the Relative Strength and Momentum Dependence of Electron-Phonon Coupling Using Resonant Inelastic X-Ray Scattering
journal, October 2016
- Devereaux, T. P.; Shvaika, A. M.; Wu, K.
- Physical Review X, Vol. 6, Issue 4
Auxiliary fermion approach to the resonant inelastic x-ray scattering response in an underdoped cuprate
journal, October 2017
- Shi, Yifei; James, Andrew J. A.; Demler, Eugene
- Physical Review B, Vol. 96, Issue 15
Analysis of resonant inelastic x-ray scattering in
journal, January 2005
- Nomura, Takuji; Igarashi, Jun-ichi
- Physical Review B, Vol. 71, Issue 3
Coulomb and electron-phonon interactions in metals
journal, October 2016
- Tupitsyn, Igor S.; Mishchenko, Andrey S.; Nagaosa, Naoto
- Physical Review B, Vol. 94, Issue 15
Resonant inelastic x-ray scattering studies of elementary excitations
journal, June 2011
- Ament, Luuk J. P.; van Veenendaal, Michel; Devereaux, Thomas P.
- Reviews of Modern Physics, Vol. 83, Issue 2
Insights into the high temperature superconducting cuprates from resonant inelastic X-ray scattering
journal, February 2015
- Dean, M. P. M.
- Journal of Magnetism and Magnetic Materials, Vol. 376
Anisotropic softening of magnetic excitations along the nodal direction in superconducting cuprates
journal, December 2014
- Guarise, M.; Piazza, B. Dalla; Berger, H.
- Nature Communications, Vol. 5, Issue 1
Lattice Model of Resonant Inelastic X-Ray Scattering in Metals: Relation of a Strong Core Hole to the X-Ray Edge Singularity
journal, June 2014
- Markiewicz, R. S.; Rehr, J. J.; Bansil, A.
- Physical Review Letters, Vol. 112, Issue 23
Resonant inelastic x-ray scattering
journal, May 1998
- Platzman, P. M.; Isaacs, E. D.
- Physical Review B, Vol. 57, Issue 18
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