Directly Characterizing the Relative Strength and Momentum Dependence of Electron-Phonon Coupling Using Resonant Inelastic X-Ray Scattering

Devereaux, T. P.; Shvaika, A. M.; Wu, K.; Wohlfeld, K.; Jia, C. J.; Wang, Y.; Moritz, B.; Chaix, L.; Lee, W. -S.; Shen, Z. -X.; Ghiringhelli, G.; Braicovich, L.

doi:10.1103/PhysRevX.6.041019

Title: Directly Characterizing the Relative Strength and Momentum Dependence of Electron-Phonon Coupling Using Resonant Inelastic X-Ray Scattering

Journal Article · Tue Oct 25 00:00:00 EDT 2016 · Physical Review. X

DOI:https://doi.org/10.1103/PhysRevX.6.041019· OSTI ID:1329976

Devereaux, T. P.; Shvaika, A. M.; Wu, K.; Wohlfeld, K.; Jia, C. J.; Wang, Y.; Moritz, B.; Chaix, L.; Lee, W. -S.; Shen, Z. -X.; Ghiringhelli, G.; Braicovich, L.

The coupling between lattice and charge degrees of freedom in condensed matter materials is ubiquitous and can often result in interesting properties and ordered phases, including conventional superconductivity, charge-density wave order, and metal-insulator transitions. Angle-resolved photoemission spectroscopy and both neutron and nonresonant x-ray scattering serve as effective probes for determining the behavior of appropriate, individual degrees of freedom—the electronic structure and lattice excitation, or phonon dispersion, respectively. However, each provides less direct information about the mutual coupling between the degrees of freedom, usually through self-energy effects, which tend to renormalize and broaden spectral features precisely where the coupling is strong, impacting one’s ability to quantitatively characterize the coupling. Here, we demonstrate that resonant inelastic x-ray scattering, or RIXS, can be an effective tool to directly determine the relative strength and momentum dependence of the electron-phonon coupling in condensed matter systems. Using a diagrammatic approach for an eight-band model of copper oxides, we study the contributions from the lowest-order diagrams to the full RIXS intensity for a realistic scattering geometry, accounting for matrix element effects in the scattering cross section, as well as the momentum dependence of the electron-phonon coupling vertex. A detailed examination of these maps offers a unique perspective into the characteristics of electron-phonon coupling, which complements both neutron and nonresonant x-ray scattering, as well as Raman and infrared conductivity.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); Polish National Science Center (NCN)

Grant/Contract Number:: AC02-76SF00515; 2012/04/A/ST3/00331

OSTI ID:: 1329976

Alternate ID(s):: OSTI ID: 1328199; OSTI ID: 1348935

Report Number(s):: SLAC-PUB-16829; PRXHAE; 041019

Journal Information:: Physical Review. X, Journal Name: Physical Review. X Vol. 6 Journal Issue: 4; ISSN 2160-3308

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 56 works

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References (50)

Electronic Raman scattering in correlated materials: A treatment of nonresonant, mixed, and resonant scattering using dynamical mean-field theory Shvaika, A. M.; Vorobyov, O.; Freericks, J. K. Physical Review B, Vol. 71, Issue 4 https://doi.org/10.1103/PhysRevB.71.045120	journal	January 2005
$d_{x^{2} - y^{2}}$ symmetry and the pairing mechanism Bulut, N.; Scalapino, D. J. Physical Review B, Vol. 54, Issue 21 https://doi.org/10.1103/PhysRevB.54.14971	journal	December 1996
Physical origin of the buckling in ${CuO}_{2}$ : Electron-phonon coupling and Raman spectra Opel, M.; Hackl, R.; Devereaux, T. P. Physical Review B, Vol. 60, Issue 13 https://doi.org/10.1103/PhysRevB.60.9836	journal	October 1999
Using RIXS to Uncover Elementary Charge and Spin Excitations Jia, Chunjing; Wohlfeld, Krzysztof; Wang, Yao Physical Review X, Vol. 6, Issue 2 https://doi.org/10.1103/PhysRevX.6.021020	journal	May 2016
Persistent high-energy spin excitations in iron-pnictide superconductors Zhou, Ke-Jin; Huang, Yao-Bo; Monney, Claude Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2428	journal	February 2013
Collective Nature of Spin Excitations in Superconducting Cuprates Probed by Resonant Inelastic X-Ray Scattering Minola, M.; Dellea, G.; Gretarsson, H. Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/PhysRevLett.114.217003	journal	May 2015
Determining the electron-phonon coupling strength from Resonant Inelastic X-ray Scattering at transition metal L-edges Ament, L. J. P.; van Veenendaal, M.; van den Brink, J. EPL (Europhysics Letters), Vol. 95, Issue 2 https://doi.org/10.1209/0295-5075/95/27008	journal	July 2011
Theory of Resonant Inelastic X-Ray Scattering by Collective Magnetic Excitations Haverkort, M. W. Physical Review Letters, Vol. 105, Issue 16 https://doi.org/10.1103/PhysRevLett.105.167404	journal	October 2010
Charge-orbital-lattice coupling effects in the $d d$ excitation profile of one-dimensional cuprates Lee, J. J.; Moritz, B.; Lee, W. S. Physical Review B, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevB.89.041104	journal	January 2014
Fermi surface nesting and the origin of charge density waves in metals Johannes, M. D.; Mazin, I. I. Physical Review B, Vol. 77, Issue 16 https://doi.org/10.1103/PhysRevB.77.165135	journal	April 2008
Resonant inelastic x-ray scattering studies of elementary excitations Ament, Luuk J. P.; van Veenendaal, Michel; Devereaux, Thomas P. Reviews of Modern Physics, Vol. 83, Issue 2 https://doi.org/10.1103/RevModPhys.83.705	journal	June 2011
Using Nonequilibrium Dynamics to Probe Competing Orders in a Mott-Peierls System Wang, Y.; Moritz, B.; Chen, C. -C. Physical Review Letters, Vol. 116, Issue 8 https://doi.org/10.1103/PhysRevLett.116.086401	journal	February 2016
Persistence of magnetic excitations in La2−xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal Dean, M. P. M.; Dellea, G.; Springell, R. S. Nature Materials, Vol. 12, Issue 11 https://doi.org/10.1038/nmat3723	journal	August 2013
Raman Scattering in Cuprate Superconductors Devereaux, Thomas Peter; Kampf, Arno Paul International Journal of Modern Physics B, Vol. 11, Issue 18 https://doi.org/10.1142/S0217979297001088	journal	July 1997
Electron–phonon coupling reflecting dynamic charge inhomogeneity in copper oxide superconductors Reznik, D.; Pintschovius, L.; Ito, M. Nature, Vol. 440, Issue 7088 https://doi.org/10.1038/nature04704	journal	April 2006
Multiband electronic Raman scattering in bilayer superconductors Devereaux, T. P.; Virosztek, A.; Zawadowski, A. Physical Review B, Vol. 54, Issue 17 https://doi.org/10.1103/PhysRevB.54.12523	journal	November 1996
Resonant Enhancement of Inelastic Light Scattering in Strongly Correlated Materials Shvaika, A. M.; Vorobyov, O.; Freericks, J. K. Physical Review Letters, Vol. 93, Issue 13 https://doi.org/10.1103/PhysRevLett.93.137402	journal	September 2004
Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3 Lee, J. J.; Schmitt, F. T.; Moore, R. G. Nature, Vol. 515, Issue 7526 https://doi.org/10.1038/nature13894	journal	November 2014
Inelastic X-ray scattering in YBa2Cu3O6.6 reveals giant phonon anomalies and elastic central peak due to charge-density-wave formation Le Tacon, M.; Bosak, A.; Souliou, S. M. Nature Physics, Vol. 10, Issue 1 https://doi.org/10.1038/nphys2805	journal	November 2013
Magnetic Excitations and Phase Separation in the Underdoped ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$ Superconductor Measured by Resonant Inelastic X-Ray Scattering Braicovich, L.; van den Brink, J.; Bisogni, V. Physical Review Letters, Vol. 104, Issue 7 https://doi.org/10.1103/PhysRevLett.104.077002	journal	February 2010
Inelastic light scattering from correlated electrons Devereaux, Thomas P.; Hackl, Rudi Reviews of Modern Physics, Vol. 79, Issue 1 https://doi.org/10.1103/RevModPhys.79.175	journal	January 2007
Electron-lattice interactions strongly renormalize the charge-transfer energy in the spin-chain cuprate Li2CuO2 Johnston, Steve; Monney, Claude; Bisogni, Valentina Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms10563	journal	February 2016
Systematic study of electron-phonon coupling to oxygen modes across the cuprates Johnston, S.; Vernay, F.; Moritz, B. Physical Review B, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevB.82.064513	journal	August 2010
Alternative route to charge density wave formation in multiband systems Eiter, H. -M.; Lavagnini, M.; Hackl, R. Proceedings of the National Academy of Sciences, Vol. 110, Issue 1 https://doi.org/10.1073/pnas.1214745110	journal	December 2012
Local spin-flip spectral distribution obtained by resonant x-ray Raman scattering de Groot, F. M. F.; Kuiper, P.; Sawatzky, G. A. Physical Review B, Vol. 57, Issue 23 https://doi.org/10.1103/PhysRevB.57.14584	journal	June 1998
Evidence for the Importance of Extended Coulomb Interactions and Forward Scattering in Cuprate Superconductors Johnston, S.; Vishik, I. M.; Lee, W. S. Physical Review Letters, Vol. 108, Issue 16 https://doi.org/10.1103/PhysRevLett.108.166404	journal	April 2012
Electronic Raman scattering in high- $T_{c}$ superconductors: A probe of $d_{x}^{2}$ - $y^{2}$ pairing Devereaux, T. P.; Einzel, D.; Stadlober, B. Physical Review Letters, Vol. 72, Issue 3 https://doi.org/10.1103/PhysRevLett.72.396	journal	January 1994
Polaronic metal in lightly doped high-T _c cuprates Mishchenko, A. S.; Nagaosa, N.; Shen, K. M. EPL (Europhysics Letters), Vol. 95, Issue 5 https://doi.org/10.1209/0295-5075/95/57007	journal	August 2011
Angle-resolved photoemission studies of the cuprate superconductors Damascelli, Andrea; Hussain, Zahid; Shen, Zhi-Xun Reviews of Modern Physics, Vol. 75, Issue 2 https://doi.org/10.1103/RevModPhys.75.473	journal	April 2003
Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates Lee, W. S.; Johnston, S.; Moritz, B. Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.265502	journal	June 2013
Devereaux et al . reply Devereaux, T. P.; Einzel, D.; Stadlober, B. Physical Review Letters, Vol. 72, Issue 20 https://doi.org/10.1103/PhysRevLett.72.3291	journal	May 1994
Unraveling Orbital Correlations with Magnetic Resonant Inelastic X-Ray Scattering Marra, Pasquale; Wohlfeld, Krzysztof; van den Brink, Jeroen Physical Review Letters, Vol. 109, Issue 11 https://doi.org/10.1103/PhysRevLett.109.117401	journal	September 2012
Dispersion of the high-energy phonon modes in ${Nd}_{1.85} {Ce}_{0.15} Cu O_{4}$ Braden, M.; Pintschovius, L.; Uefuji, T. Physical Review B, Vol. 72, Issue 18 https://doi.org/10.1103/PhysRevB.72.184517	journal	November 2005
Colloquium : Theory of intertwined orders in high temperature superconductors Fradkin, Eduardo; Kivelson, Steven A.; Tranquada, John M. Reviews of Modern Physics, Vol. 87, Issue 2 https://doi.org/10.1103/RevModPhys.87.457	journal	May 2015
The simultaneous measurement of energy and linear polarization of the scattered radiation in resonant inelastic soft x-ray scattering Braicovich, L.; Minola, M.; Dellea, G. Review of Scientific Instruments, Vol. 85, Issue 11 https://doi.org/10.1063/1.4900959	journal	November 2014
Bond Stretching Phonon Softening and Kinks in the Angle-Resolved Photoemission Spectra of Optimally Doped ${Bi}_{2} {Sr}_{1.6} {La}_{0.4} {Cu}_{2} O_{6 + δ}$ Superconductors Graf, J.; d’Astuto, M.; Jozwiak, C. Physical Review Letters, Vol. 100, Issue 22 https://doi.org/10.1103/PhysRevLett.100.227002	journal	June 2008
A review of electron-phonon coupling seen in the high-Tc superconductors by angle-resolved photoemission studies (ARPES) Cuk, T.; Lu, D. H.; Zhou, X. J. physica status solidi (b), Vol. 242, Issue 1 https://doi.org/10.1002/pssb.200404959	journal	January 2005
Polarization Dependence of $L$ - and $M$ -Edge Resonant Inelastic X-Ray Scattering in Transition-Metal Compounds van Veenendaal, Michel Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.117404	journal	March 2006
SAXES, a high resolution spectrometer for resonant x-ray emission in the 400–1600eV energy range Ghiringhelli, G.; Piazzalunga, A.; Dallera, C. Review of Scientific Instruments, Vol. 77, Issue 11 https://doi.org/10.1063/1.2372731	journal	November 2006
Electron-Phonon Coupling in the Bulk of Anatase ${TiO}_{2}$ Measured by Resonant Inelastic X-Ray Spectroscopy Moser, S.; Fatale, S.; Krüger, P. Physical Review Letters, Vol. 115, Issue 9 https://doi.org/10.1103/PhysRevLett.115.096404	journal	August 2015
Electron-phonon coupling effects explored by inelastic neutron scattering Pintschovius, L. physica status solidi (b), Vol. 242, Issue 1 https://doi.org/10.1002/pssb.200404951	journal	January 2005
Evidence for a charge collective mode associated with superconductivity in copper oxides from neutron and x-ray scattering measurements of La $_{2 - x}$ Sr $_{x}$ CuO $_{4}$ Park, S. R.; Fukuda, T.; Hamann, A. Physical Review B, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevB.89.020506	journal	January 2014
Intense paramagnon excitations in a large family of high-temperature superconductors Le Tacon, M.; Ghiringhelli, G.; Chaloupka, J. Nature Physics, Vol. 7, Issue 9 https://doi.org/10.1038/nphys2041	journal	July 2011
High-resolution soft X-ray beamline ADRESS at the Swiss Light Source for resonant inelastic X-ray scattering and angle-resolved photoelectron spectroscopies Strocov, V. N.; Schmitt, T.; Flechsig, U. Journal of Synchrotron Radiation, Vol. 17, Issue 5 https://doi.org/10.1107/S0909049510019862	journal	July 2010
Neutron scattering and the $B_{1 g}$ phonon in the cuprates Devereaux, T. P.; Virosztek, A.; Zawadowski, A. Physical Review B, Vol. 59, Issue 22 https://doi.org/10.1103/PhysRevB.59.14618	journal	June 1999
Theoretical Demonstration of How the Dispersion of Magnetic Excitations in Cuprate Compounds can be Determined Using Resonant Inelastic X-Ray Scattering Ament, Luuk J. P.; Ghiringhelli, Giacomo; Sala, Marco Moretti Physical Review Letters, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevLett.103.117003	journal	September 2009
Charge-transfer fluctuation, d -wave superconductivity, and the $B_{1 g}$ Raman phonon in cuprates Devereaux, T. P.; Virosztek, A.; Zawadowski, A. Physical Review B, Vol. 51, Issue 1 https://doi.org/10.1103/PhysRevB.51.505	journal	January 1995
Many-Particle Physics Mahan, Gerald D. Physics of Solids and Liquids (PSLI) https://doi.org/10.1007/978-1-4757-5714-9	book	January 2000
Linear-Response Calculation of the Electron-Phonon Coupling in Doped CaCu $O_{2}$ Savrasov, S. Y.; Andersen, O. K. Physical Review Letters, Vol. 77, Issue 21 https://doi.org/10.1103/PhysRevLett.77.4430	journal	November 1996
Magnetic excitations and phonons simultaneously studied by resonant inelastic x-ray scattering in optimally doped ${Bi}_{1.5} {Pb}_{0.55} {Sr}_{1.6} {La}_{0.4} {CuO}_{6 + δ}$ Peng, Y. Y.; Hashimoto, M.; Sala, M. Moretti Physical Review B, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevB.92.064517	journal	August 2015

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