Resonant soft X-ray scattering, stripe order, and the electron spectral function in cuprates

Abbamonte, Peter; Demler, Eugene; Séamus Davis, J. C.; Campuzano, Juan-Carlos

doi:10.1016/j.physc.2012.04.006

Title: Resonant soft X-ray scattering, stripe order, and the electron spectral function in cuprates

Journal Article · Mon Apr 23 00:00:00 EDT 2012 · Physica. C, Superconductivity

DOI:https://doi.org/10.1016/j.physc.2012.04.006· OSTI ID:1958850

Abbamonte, Peter ^[1]; Demler, Eugene ^[2]; Séamus Davis, J. C. ^[3]; Campuzano, Juan-Carlos ^[4]

Univ. of Illinois at Urbana-Champaign, IL (United States); Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
Harvard Univ., Cambridge, MA (United States)
Cornell Univ., Ithaca, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Illinois, Chicago, IL (United States)

We review the current state of efforts to use resonant soft X-ray scattering (RSXS), which is an elastic, momentum-resolved, valence band probe of strongly correlated electron systems, to study stripe-like phenomena in copper-oxide superconductors and related materials. We review the historical progress including RSXS studies of Wigner crystallization in spin ladder materials, stripe order in 214-phase nickelates, 214-phase cuprates, and other systems. One of the major outstanding issues in RSXS concerns its relationship to more established valence band probes, namely angle-resolved photoemission (ARPES) and scanning tunneling microscopy (STM). These techniques are widely understood as measuring a one-electron spectral function, yet a relationship between RSXS and a spectral function has so far been unclear. Using physical arguments that apply at the oxygen K edge, we show that RSXS measures the square modulus of an advanced version of the Green’s function measured with STM. This indicates that, despite being a momentum space probe, RSXS is more closely related to STM than to ARPES techniques. Finally, we close with some discussion of the most promising future directions for RSXS. We will argue that the most promising area lies in high magnetic field studies, particularly of edge states in strongly correlated heterostructures, and the vortex state in superconducting cuprates, where RSXS may clarify the anomalous periodicities observed in recent quantum oscillation experiments.

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Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-06ER46285; AC0298CH1088

OSTI ID:: 1958850

Journal Information:: Physica. C, Superconductivity, Vol. 481; ISSN 0921-4534

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 20 works

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References (60)

Charge ordering in ${La}_{1.8 - x} {Eu}_{0.2} {Sr}_{x} {CuO}_{4}$ studied by resonant soft x-ray diffraction Fink, Jörg; Schierle, Enrico; Weschke, Eugen Physical Review B, Vol. 79, Issue 10 https://doi.org/10.1103/PhysRevB.79.100502	journal	March 2009
Theory of inelastic x-ray scattering from condensed matter Sinha, Sunil K. Journal of Physics: Condensed Matter, Vol. 13, Issue 34 https://doi.org/10.1088/0953-8984/13/34/304	journal	August 2001
X-ray-scattering study of charge- and spin-density waves in chromium Hill, J. P.; Helgesen, G.; Gibbs, Doon Physical Review B, Vol. 51, Issue 16 https://doi.org/10.1103/PhysRevB.51.10336	journal	April 1995
Charge modulations versus strain waves in resonant x-ray scattering Abbamonte, P. Physical Review B, Vol. 74, Issue 19 https://doi.org/10.1103/PhysRevB.74.195113	journal	November 2006
Oxide Interfaces--An Opportunity for Electronics Mannhart, J.; Schlom, D. G. Science, Vol. 327, Issue 5973, p. 1607-1611 https://doi.org/10.1126/science.1181862	journal	March 2010
$Mn L_{2, 3}$ edge resonant x-ray scattering in manganites: Influence of the magnetic state Stojić, N.; Binggeli, N.; Altarelli, M. Physical Review B, Vol. 72, Issue 10 https://doi.org/10.1103/PhysRevB.72.104108	journal	September 2005
Metallic Mean-Field Stripes, Incommensurability, and ChemicalPotential in Cuprates Lorenzana, J.; Seibold, G. Physical Review Letters, Vol. 89, Issue 13 https://doi.org/10.1103/PhysRevLett.89.136401	journal	September 2002
Suppression of the Charge-Density-Wave State in ${S r}_{14} {C u}_{24} O_{41}$ by Calcium Doping Vuletić, T.; Korin-Hamzić, B.; Tomić, S. Physical Review Letters, Vol. 90, Issue 25 https://doi.org/10.1103/PhysRevLett.90.257002	journal	June 2003
Superconductivity in a quasi-one-dimensional spin liquid Sigrist, M.; Rice, T. M.; Zhang, F. C. Physical Review B, Vol. 49, Issue 17 https://doi.org/10.1103/PhysRevB.49.12058	journal	May 1994
Cooperative ordering of holes and spins in ${La}_{2}$ ${NiO}_{4.125}$ Tranquada, J. M.; Lorenzo, J. E.; Buttrey, D. J. Physical Review B, Vol. 52, Issue 5 https://doi.org/10.1103/PhysRevB.52.3581	journal	August 1995
A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+delta Hoffman, J. E. Science, Vol. 295, Issue 5554 https://doi.org/10.1126/science.1066974	journal	January 2002
Quantum Melting of the Hole Crystal in the Spin Ladder of ${Sr}_{14 - x} {Ca}_{x} {Cu}_{24} O_{41}$ Rusydi, A.; Abbamonte, P.; Eisaki, H. Physical Review Letters, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevLett.97.016403	journal	July 2006
Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor Doiron-Leyraud, Nicolas; Proust, Cyril; LeBoeuf, David Nature, Vol. 447, Issue 7144 https://doi.org/10.1038/nature05872	journal	May 2007
Relating atomic-scale electronic phenomena to wave-like quasiparticle states in superconducting Bi2Sr2CaCu2O8+δ McElroy, K.; Simmonds, R. W.; Hoffman, J. E. Nature, Vol. 422, Issue 6932 https://doi.org/10.1038/nature01496	journal	April 2003
Coexistence of, and Competition between, Superconductivity and Charge-Stripe Order in ${La}_{1.6 - x} {Nd}_{0.4} {Sr}_{x} {CuO}_{4}$ Tranquada, J. M.; Axe, J. D.; Ichikawa, N. Physical Review Letters, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevLett.78.338	journal	January 1997
Electronic liquid-crystal phases of a doped Mott insulator Kivelson, S. A.; Fradkin, E.; Emery, V. J. Nature, Vol. 393, Issue 6685 https://doi.org/10.1038/31177	journal	June 1998
Superconducting properties of ${La}_{2 - x}$ ${Ba}_{x}$ ${CuO}_{4}$ Moodenbaugh, A. R.; Xu, Youwen; Suenaga, M. Physical Review B, Vol. 38, Issue 7 https://doi.org/10.1103/PhysRevB.38.4596	journal	September 1988
Superconducting Transition at 38 K in Insulating-Overdoped ${La}_{2} Cu O_{4} − {La}_{1.64} {Sr}_{0.36} Cu O_{4}$ Superlattices: Evidence for Interface Electronic Redistribution from Resonant Soft X-Ray Scattering Smadici, S.; Lee, J. C. T.; Wang, S. Physical Review Letters, Vol. 102, Issue 10 https://doi.org/10.1103/PhysRevLett.102.107004	journal	March 2009
Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen Nature, Vol. 477, Issue 7363 https://doi.org/10.1038/nature10345	journal	September 2011
Crystallization of charge holes in the spin ladder of Sr14Cu24O41 Abbamonte, P.; Blumberg, G.; Rusydi, A. Nature, Vol. 431, Issue 7012 https://doi.org/10.1038/nature02925	journal	October 2004
Thermodynamics of the interplay between magnetism and high-temperature superconductivity Kivelson, S. A.; Aeppli, G.; Emery, V. J. Proceedings of the National Academy of Sciences, Vol. 98, Issue 21 https://doi.org/10.1073/pnas.211363698	journal	October 2001
Magnetic-resonance exchange scattering at the iron $L_{II}$ and $L_{III}$ edges Kao, C.; Hastings, J. B.; Johnson, E. D. Physical Review Letters, Vol. 65, Issue 3 https://doi.org/10.1103/PhysRevLett.65.373	journal	July 1990
Spatially modulated 'Mottness' in La2-xBaxCuO4 Abbamonte, P.; Rusydi, A.; Smadici, S. Nature Physics, Vol. 1, Issue 3 https://doi.org/10.1038/nphys178	journal	December 2005
A Structural Probe of the Doped Holes in Cuprate Superconductors Abbamonte, P. Science, Vol. 297, Issue 5581 https://doi.org/10.1126/science.1070903	journal	July 2002
Electronic Reconstruction at ${SrMnO}_{3} − {LaMnO}_{3}$ Superlattice Interfaces Smadici, Şerban; Abbamonte, Peter; Bhattacharya, Anand Physical Review Letters, Vol. 99, Issue 19 https://doi.org/10.1103/PhysRevLett.99.196404	journal	November 2007
Magnetic x-ray scattering studies of holmium using synchro- tron radiation Gibbs, Doon; Moncton, D. E.; D’Amico, K. L. Physical Review Letters, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevLett.55.234	journal	July 1985
Comment on “Periodic hole structure in a spin-chain ladder materialSr14Cu24O41” van Smaalen, Sander Physical Review B, Vol. 67, Issue 2 https://doi.org/10.1103/PhysRevB.67.026101	journal	January 2003
Strain Amplification of the $4 k_{F}$ Chain Instability in ${Sr}_{14} {Cu}_{24} O_{41}$ Rusydi, A.; Abbamonte, P.; Eisaki, H. Physical Review Letters, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevLett.100.036403	journal	January 2008
Anomalous dispersion in the autocorrelation of angle-resolved photoemission spectra of high-temperature ${Bi}_{2} {Sr}_{2} Ca {Cu}_{2} O_{8 + δ}$ superconductors Chatterjee, U.; Shi, M.; Kaminski, A. Physical Review B, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevB.76.012504	journal	July 2007
Orbital ordering in the manganites: Resonant x-ray scattering predictions at the manganese $L_{II}$ and $L_{III}$ edges Castleton, C. W. M.; Altarelli, M. Physical Review B, Vol. 62, Issue 2 https://doi.org/10.1103/PhysRevB.62.1033	journal	July 2000
Friedel oscillations and charge density waves in chains and ladders White, Steven R.; Affleck, Ian; Scalapino, Douglas J. Physical Review B, Vol. 65, Issue 16 https://doi.org/10.1103/PhysRevB.65.165122	journal	April 2002
Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states Lawler, M. J.; Fujita, K.; Lee, Jhinhwan Nature, Vol. 466, Issue 7304 https://doi.org/10.1038/nature09169	journal	July 2010
Ferromagnetic Stability in Fe Nanodot Assemblies on Cu(111) Induced by Indirect Coupling through the Substrate Pierce, J. P.; Torija, M. A.; Gai, Z. Physical Review Letters, Vol. 92, Issue 23 https://doi.org/10.1103/PhysRevLett.92.237201	journal	June 2004
Phase diagram of charge order in La $_{1.8 - x}$ Eu $_{0.2}$ Sr $_{x}$ CuO $_{4}$ from resonant soft x-ray diffraction Fink, Jörg; Soltwisch, Victor; Geck, Jochen Physical Review B, Vol. 83, Issue 9 https://doi.org/10.1103/PhysRevB.83.092503	journal	March 2011
Electron pockets in the Fermi surface of hole-doped high-Tc superconductors LeBoeuf, David; Doiron-Leyraud, Nicolas; Levallois, Julien Nature, Vol. 450, Issue 7169 https://doi.org/10.1038/nature06332	journal	November 2007
Evidence for stripe correlations of spins and holes in copper oxide superconductors Tranquada, J. M.; Sternlieb, B. J.; Axe, J. D. Nature, Vol. 375, Issue 6532 https://doi.org/10.1038/375561a0	journal	June 1995
Separating the causes of orbital ordering in LaSr ₂ Mn ₂ O ₇ using resonant soft x-ray diffraction Wilkins, S. B.; Stojić, N.; Beale, T. A. W. Journal of Physics: Condensed Matter, Vol. 18, Issue 24 https://doi.org/10.1088/0953-8984/18/24/L01	journal	June 2006
Quantum magnetic excitations from stripes in copper oxide superconductors Tranquada, J. M.; Woo, H.; Perring, T. G. Nature, Vol. 429, Issue 6991 https://doi.org/10.1038/nature02574	journal	June 2004
Enhanced Superconductivity in Superlattices of High- $T_{c}$ Cuprates Okamoto, Satoshi; Maier, Thomas A. Physical Review Letters, Vol. 101, Issue 15 https://doi.org/10.1103/PhysRevLett.101.156401	journal	October 2008
Superconductivity in ladders and coupled planes Dagotto, E.; Riera, J.; Scalapino, D. Physical Review B, Vol. 45, Issue 10 https://doi.org/10.1103/PhysRevB.45.5744	journal	March 1992
Imaging Quasiparticle Interference in Bi₂Sr₂CaCu₂O_8+δ Hoffman, J. E.; McElroy, K.; Lee, D.-H. Science, Vol. 297, Issue 5584, p. 1148-1151 https://doi.org/10.1126/science.1072640	journal	July 2002
Superconductivity in the Ladder Material Sr _0.4 Ca _13.6 Cu ₂₄ O _41.84 Uehara, Masatomo; Nagata, Takashi; Akimitsu, Jun Journal of the Physical Society of Japan, Vol. 65, Issue 9 https://doi.org/10.1143/JPSJ.65.2764	journal	September 1996
Magnetic excitations and structural change in the $S = \frac{1}{2}$ quasi-one-dimensional magnet ${Sr}_{14 - x} Y_{x} {Cu}_{24} O_{41}$ $(0 <~ x <~ 1)$ Matsuda, M.; Katsumata, K.; Osafune, T. Physical Review B, Vol. 56, Issue 22 https://doi.org/10.1103/PhysRevB.56.14499	journal	December 1997
Ultrafast Imaging and the Phase Problem for Inelastic X-Ray Scattering Abbamonte, Peter; Wong, Gerard C. L.; Cahill, David G. Advanced Materials, Vol. 22, Issue 10 https://doi.org/10.1002/adma.200904098	journal	February 2010
Anisotropic x-ray anomalous diffraction and forbidden reflections Carra, Paolo; Thole, B. T. Reviews of Modern Physics, Vol. 66, Issue 4 https://doi.org/10.1103/RevModPhys.66.1509	journal	October 1994
On the Interaction of Electrons in Metals Wigner, E. Physical Review, Vol. 46, Issue 11 https://doi.org/10.1103/PhysRev.46.1002	journal	December 1934
Orbital Ordering, Jahn-Teller Distortion, and Anomalous X-Ray Scattering in Manganates Elfimov, I. S.; Anisimov, V. I.; Sawatzky, G. A. Physical Review Letters, Vol. 82, Issue 21 https://doi.org/10.1103/PhysRevLett.82.4264	journal	May 1999
A ‘checkerboard’ electronic crystal state in lightly hole-doped Ca2-xNaxCuO2Cl2 Hanaguri, T.; Lupien, C.; Kohsaka, Y. Nature, Vol. 430, Issue 7003 https://doi.org/10.1038/nature02861	journal	August 2004
Route to high-temperature superconductivity in composite systems Berg, Erez; Orgad, Dror; Kivelson, Steven A. Physical Review B, Vol. 78, Issue 9 https://doi.org/10.1103/PhysRevB.78.094509	journal	September 2008
Spins in the Vortices of a High-Temperature Superconductor Lake, B. Science, Vol. 291, Issue 5509 https://doi.org/10.1126/science.1056986	journal	March 2001
Polarization and Resonance Properties of Magnetic X-Ray Scattering in Holmium Gibbs, Doon; Harshman, D. R.; Isaacs, E. D. Physical Review Letters, Vol. 61, Issue 10 https://doi.org/10.1103/PhysRevLett.61.1241	journal	September 1988
Orbital and magnetic ordering in ${La}_{0.5} {Sr}_{1.5} Mn O_{4}$ studied by soft x-ray resonant scattering Staub, U.; Scagnoli, V.; Mulders, A. M. Physical Review B, Vol. 71, Issue 21 https://doi.org/10.1103/PhysRevB.71.214421	journal	June 2005
Evaluation of ${CuO}_{2}$ plane hole doping in ${YBa}_{2} {Cu}_{3} O_{6 + x}$ single crystals Liang, Ruixing; Bonn, D. A.; Hardy, W. N. Physical Review B, Vol. 73, Issue 18 https://doi.org/10.1103/PhysRevB.73.180505	journal	May 2006
Charge-density wave formation in ${Sr}_{14 - x} {Ca}_{x} {Cu}_{24} O_{41}$ Gorshunov, B.; Haas, P.; Rõõm, T. Physical Review B, Vol. 66, Issue 6 https://doi.org/10.1103/PhysRevB.66.060508	journal	August 2002
How to detect fluctuating stripes in the high-temperature superconductors Kivelson, S. A.; Bindloss, I. P.; Fradkin, E. Reviews of Modern Physics, Vol. 75, Issue 4 https://doi.org/10.1103/RevModPhys.75.1201	journal	October 2003
Comparison of stripe modulations in La $_{1.875}$ Ba $_{0.125}$ CuO $_{4}$ and La $_{1.48}$ Nd $_{0.4}$ Sr $_{0.12}$ CuO $_{4}$ Wilkins, S. B.; Dean, M. P. M.; Fink, Jörg Physical Review B, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevB.84.195101	journal	November 2011
Absence of long-ranged charge order in ${Na}_{x} {Ca}_{2 - x} Cu O_{2} {Cl}_{2}$ $(x = 0.08)$ Smadici, Şerban; Abbamonte, Peter; Taguchi, Munetaka Physical Review B, Vol. 75, Issue 7 https://doi.org/10.1103/PhysRevB.75.075104	journal	February 2007
From Antiferromagnetic Order to Static Magnetic Stripes: The Phase Diagram of $(L a, E u)_{2 - x} {Sr}_{x} {CuO}_{4}$ Klauss, H. -H.; Wagener, W.; Hillberg, M. Physical Review Letters, Vol. 85, Issue 21 https://doi.org/10.1103/PhysRevLett.85.4590	journal	November 2000
Periodic hole structure in a spin-chain ladder material ${Sr}_{14} {Cu}_{24} O_{41}$ Fukuda, T.; Mizuki, J.; Matsuda, M. Physical Review B, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevB.66.012104	journal	July 2002
Sliding Density Wave in Sr14Cu24O41 Ladder Compounds Blumberg, G. Science, Vol. 297, Issue 5581 https://doi.org/10.1126/science.1070481	journal	July 2002

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