Quantitative Characterization of the Nanoscale Local Lattice Strain Induced by Sr Dopants in La1.92Sr0.08CuO4

Lin, J. Q.; Liu, X.; Blackburn, E.; Wakimoto, S.; Ding, H.; Islam, Z.; Sinha, S. K.

doi:10.1103/PhysRevLett.120.197001

Title: Quantitative Characterization of the Nanoscale Local Lattice Strain Induced by Sr Dopants in ${La}_{1.92} {Sr}_{0.08} {CuO}_{4}$

Journal Article · Fri May 11 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.120.197001· OSTI ID:1461419

Lin, J. Q. ^[1]; Liu, X. ^[2]; Blackburn, E. ^[3]; Wakimoto, S. ^[4]; Ding, H. ^[5]; Islam, Z. ^[6]; Sinha, S. K. ^[7]

Chinese Academy of Sciences (CAS), Beijing (China); Univ. of Chinese Academy of Science, Beijing (China)
Chinese Academy of Sciences (CAS), Beijing (China); ShanghaiTech Univ., Shanghai (China); Collaborative Innovation Center of Quantum Matter, Beijing (China)
Univ. of Birmingham, Birmingham (United Kingdom)
Japan Atomic Energy Agency, Ibaraki (Japan)
Chinese Academy of Sciences (CAS), Beijing (China); Univ. of Chinese Academy of Science, Beijing (China); Collaborative Innovation Center of Quantum Matter, Beijing (China)
Argonne National Lab. (ANL), Argonne, IL (United States)
Univ. of California, San Diego, La Jolla, CA (United States)

Here, the nanometer scale lattice deformation brought about by the dopants in the high temperature superconducting cuprate La_2-xSr_xCuO₄ (x = 0.08) was investigated by measuring the associated x-ray diffuse scattering around multiple Bragg peaks. A characteristic diffuse scattering pattern was observed, which can be well described by continuum elastic theory. With the fitted dipole force parameters, the acoustic-type lattice deformation pattern was reconstructed and found to be of similar size to lattice thermal vibration at 7 K. Our results address the long-term concern of dopant introduced local lattice inhomogeneity, and show that the associated nanometer scale lattice deformation is marginal and cannot, alone, be responsible for the patched variation in the spectral gaps observed with scanning tunneling microscopy in the cuprates.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

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

Grant/Contract Number:: AC02-06CH11357; SC0003678

OSTI ID:: 1461419

Alternate ID(s):: OSTI ID: 1436900

Journal Information:: Physical Review Letters, Vol. 120, Issue 19; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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References (42)

Pressure dependence of $T_{c}$ and charge transfer in ${YBa}_{2}$ ${Cu}_{3}$ $O_{x}$ (6.35≤ x ≤7) single crystals Almasan, C. C.; Han, S. H.; Lee, B. W. Physical Review Letters, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevLett.69.680	journal	July 1992
Superconducting fluctuations and uniaxial-pressure dependence of Tc of a Bi2Sr2CaCu2O8+x single crystal from high-resolution thermal expansion Meingast, C.; Junod, A.; Walker, E. Physica C: Superconductivity, Vol. 272, Issue 1-2 https://doi.org/10.1016/S0921-4534(96)00589-8	journal	November 1996
Inhomogeneous electronic states of ${La}_{2 - x} {Sr}_{x} Cu O_{4}$ probed by scanning tunneling spectroscopy Kato, T.; Okitsu, S.; Sakata, H. Physical Review B, Vol. 72, Issue 14 https://doi.org/10.1103/PhysRevB.72.144518	journal	October 2005
Pattern of x-ray scattering by thermal phonons in Si Wu, Z.; Hong, Hawoong; Aburano, R. Physical Review B, Vol. 59, Issue 5 https://doi.org/10.1103/PhysRevB.59.3283	journal	February 1999
Vibration Spectrum of a Simple Cubic Lattice Newell, Gordon F. The Journal of Chemical Physics, Vol. 21, Issue 10 https://doi.org/10.1063/1.1698682	journal	October 1953
Two-phase structural refinement of La2CuO4.032 at 15 K Chaillout, C.; Chenavas, J.; Cheong, S. W. Physica C: Superconductivity, Vol. 170, Issue 1-2 https://doi.org/10.1016/0921-4534(90)90233-5	journal	September 1990
Complexity in Strongly Correlated Electronic Systems Dagotto, E. Science, Vol. 309, Issue 5732 https://doi.org/10.1126/science.1107559	journal	July 2005
Resonant x-ray scattering study of charge-density wave correlations in ${YBa}_{2} {Cu}_{3} O_{6 + x}$ Blanco-Canosa, S.; Frano, A.; Schierle, E. Physical Review B, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevB.90.054513	journal	August 2014
Altered Sr environment in ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$ Haskel, D.; Stern, E. A.; Hinks, D. G. Physical Review B, Vol. 56, Issue 2 https://doi.org/10.1103/PhysRevB.56.R521	journal	July 1997
Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+δ Lang, K. M.; Madhavan, V.; Hoffman, J. E. Nature, Vol. 415, Issue 6870 https://doi.org/10.1038/415412a	journal	January 2002
Pressure effects on superconductivity and structural phase transitions in La2−xMxCuO4 (M  Ba, Sr) Yamada, N.; Ido, M. Physica C: Superconductivity, Vol. 203, Issue 3-4 https://doi.org/10.1016/0921-4534(92)90029-C	journal	December 1992
Microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x Pan, S. H.; O'Neal, J. P.; Badzey, R. L. Nature, Vol. 413, Issue 6853 https://doi.org/10.1038/35095012	journal	September 2001
Ideal charge-density-wave order in the high-field state of superconducting YBCO Jang, H.; Lee, W. -S.; Nojiri, H. Proceedings of the National Academy of Sciences, Vol. 113, Issue 51 https://doi.org/10.1073/pnas.1612849113	journal	December 2016
Inhomogeneous $d$ -wave superconducting state of a doped Mott insulator Wang, Ziqiang; Engelbrecht, Jan R.; Wang, Shancai Physical Review B, Vol. 65, Issue 6 https://doi.org/10.1103/PhysRevB.65.064509	journal	January 2002
Determination of the Local Lattice Distortions in the Cu $O_{2}$ Plane of L $a_{1.85}$ S $r_{0.15}$ Cu $O_{4}$ Bianconi, A.; Saini, N. L.; Lanzara, A. Physical Review Letters, Vol. 76, Issue 18 https://doi.org/10.1103/PhysRevLett.76.3412	journal	April 1996
The theory of diffuse X-ray scattering and its application to the study of point defects and their clusters Dederichs, P. H. Journal of Physics F: Metal Physics, Vol. 3, Issue 2 https://doi.org/10.1088/0305-4608/3/2/010	journal	February 1973
${}^{17}O$ NMR study of the inhomogeneous electronic state in ${La}_{2 - x} {Sr}_{x} Cu O_{4}$ crystals Singer, P. M.; Imai, T.; Chou, F. C. Physical Review B, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevB.72.014537	journal	July 2005
X-Ray and Neutron Diffraction in Nonideal Crystals Krivoglaz, Mikhail A.; Baryakhtar, V. G.; Ivanov, M. A. Springer Berlin, Heidelberg https://doi.org/10.1007/978-3-642-74291-0	book	January 1996
Effect of pressure on the lattice parameters of La2−xSrxCuO4−y Oomi, G.; Kagayama, T.; Takemura, T. Physica C: Superconductivity, Vol. 185-189 https://doi.org/10.1016/0921-4534(91)91668-T	journal	December 1991
Diffuse x-ray scattering from ${La}_{2 - x}$ ${Sr}_{x}$ ${NiO}_{4}$ and ${La}_{2 - y}$ ${Sr}_{y}$ ${CuO}_{4}$ Isaacs, E. D.; Aeppli, G.; Zschack, P. Physical Review Letters, Vol. 72, Issue 21 https://doi.org/10.1103/PhysRevLett.72.3421	journal	May 1994
Point defects in face-centred cubic lattice—I distortion around defects Kanzaki, H. Journal of Physics and Chemistry of Solids, Vol. 2, Issue 1 https://doi.org/10.1016/0022-3697(57)90003-3	journal	March 1957
Anisotropic uniaxial pressure effects in YBa2Cu3O7?? Welp, U.; Grimsditch, M.; Fleshler, S. Journal of Superconductivity, Vol. 7, Issue 1 https://doi.org/10.1007/BF00730387	journal	February 1994
Effect of Disorder Outside the ${CuO}_{2}$ Planes on $T_{c}$ of Copper Oxide Superconductors Fujita, K.; Noda, T.; Kojima, K. M. Physical Review Letters, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevLett.95.097006	journal	August 2005
Nanoscale Interplay of Strain and Doping in a High-Temperature Superconductor Zeljkovic, Ilija; Nieminen, Jouko; Huang, Dennis Nano Letters, Vol. 14, Issue 12 https://doi.org/10.1021/nl501890k	journal	November 2014
Imaging the Impact of Single Oxygen Atoms on Superconducting Bi2+ySr2-yCaCu2O8+x Zeljkovic, I.; Xu, Z.; Wen, J. Science, Vol. 337, Issue 6092 https://doi.org/10.1126/science.1218648	journal	July 2012
Phase separation in the t - J model Emery, V. J.; Kivelson, S. A.; Lin, H. Q. Physical Review Letters, Vol. 64, Issue 4 https://doi.org/10.1103/PhysRevLett.64.475	journal	January 1990
Doping-induced inhomogeneity in high-Tc superconductors Martin, Ivar; Balatsky, Alexander V. Physica C: Superconductivity, Vol. 357-360 https://doi.org/10.1016/S0921-4534(01)00192-7	journal	September 2001
Local lattice instability and stripes in the ${CuO}_{2}$ plane of the ${La}_{1.85}$ ${Sr}_{0.15}$ ${CuO}_{4}$ system by polarized XANES and EXAFS Saini, N. L.; Lanzara, A.; Oyanagi, H. Physical Review B, Vol. 55, Issue 18 https://doi.org/10.1103/PhysRevB.55.12759	journal	May 1997
Local modulations of the spin-fluctuation-mediated pairing interaction by impurities in $d$ -wave superconductors Rømer, A. T.; Graser, S.; Nunner, T. S. Physical Review B, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevB.86.054507	journal	August 2012
Influence of Disorder on the Local Density of States in High- $T_{c}$ Superconducting Thin Films Cren, T.; Roditchev, D.; Sacks, W. Physical Review Letters, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevLett.84.147	journal	January 2000
Temperature and composition dependence of the tetragonal-orthorhombic distortion in ${La}_{2 - x}$ ${Sr}_{x}$ ${CuO}_{4 - δ}$ Fleming, R. M.; Batlogg, B.; Cava, R. J. Physical Review B, Vol. 35, Issue 13 https://doi.org/10.1103/PhysRevB.35.7191	journal	May 1987
Elastic constants and specific-heat measurements on single crystals of ${La}_{2}$ ${CuO}_{4}$ Migliori, A.; Visscher, William M.; Brown, S. E. Physical Review B, Vol. 41, Issue 4 https://doi.org/10.1103/PhysRevB.41.2098	journal	February 1990
Uniaxial pressure dependence of $T_{c}$ from high-resolution dilatometry of untwinned ${La}_{2 - x}$ ${Sr}_{x}$ ${CuO}_{4}$ single crystals Gugenberger, Frank; Meingast, Christoph; Roth, Georg Physical Review B, Vol. 49, Issue 18 https://doi.org/10.1103/PhysRevB.49.13137	journal	May 1994
Common interatomic potential model for the lattice dynamics of several cuprates Chaplot, S. L.; Reichardt, W.; Pintschovius, L. Physical Review B, Vol. 52, Issue 10 https://doi.org/10.1103/PhysRevB.52.7230	journal	September 1995
Correlating Off-Stoichiometric Doping and Nanoscale Electronic Inhomogeneity in the High- $T_{c}$ Superconductor ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$ Zhou, Sen; Ding, Hong; Wang, Ziqiang Physical Review Letters, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevLett.98.076401	journal	February 2007
Doping dependence of gap inhomogeneities at Bi ₂ Sr ₂ CaCu ₂ O _{8+ δ} surfaces Chen, Wei; Gabay, Marc; Hirschfeld, P. J. New Journal of Physics, Vol. 14, Issue 3 https://doi.org/10.1088/1367-2630/14/3/033004	journal	March 2012
Two- and three-dimensional incommensurate modulation in optimally-doped ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$ Castellan, J. P.; Gaulin, B. D.; Dabkowska, H. A. Physical Review B, Vol. 73, Issue 17 https://doi.org/10.1103/PhysRevB.73.174505	journal	May 2006
Doping Dependence of Two Energy Scales in the Tunneling Spectra of Superconducting La _{2- x} Sr _x CuO ₄ Kato, Takuya; Maruyama, Toshiyuki; Okitsu, Shigeki Journal of the Physical Society of Japan, Vol. 77, Issue 5 https://doi.org/10.1143/JPSJ.77.054710	journal	May 2008
Atomic-Scale Sources and Mechanism of Nanoscale Electronic Disorder in Bi2Sr2CaCu2O8+ McElroy, K. Science, Vol. 309, Issue 5737 https://doi.org/10.1126/science.1113095	journal	August 2005
Nanoscale Proximity Effect in the High-Temperature Superconductor ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$ Using a Scanning Tunneling Microscope Parker, Colin V.; Pushp, Aakash; Pasupathy, Abhay N. Physical Review Letters, Vol. 104, Issue 11 https://doi.org/10.1103/PhysRevLett.104.117001	journal	March 2010
Observations of electronic inhomogeneity in heavily Pb-doped ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{y}$ single crystals by scanning tunneling microscopy Kinoda, G.; Hasegawa, T.; Nakao, S. Physical Review B, Vol. 67, Issue 22 https://doi.org/10.1103/PhysRevB.67.224509	journal	June 2003
Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+δ Gomes, Kenjiro K.; Pasupathy, Abhay N.; Pushp, Aakash Nature, Vol. 447, Issue 7144 https://doi.org/10.1038/nature05881	journal	May 2007