Universal Stripe Symmetry of Short-Range Charge Density Waves in Cuprate Superconductors
Abstract
The omnipresence of charge density waves (CDWs) across almost all cuprate families underpins a common organizing principle. However, a longstanding debate of whether its spatial symmetry is stripe or checkerboard remains unresolved. While CDWs in lanthanum- and yttrium-based cuprates possess a stripe symmetry, distinguishing these two scenarios is challenging for the short-range CDW in bismuth-based cuprates. Here, high-resolution resonant inelastic x-ray scattering is employed to uncover the spatial symmetry of the CDW in Bi2Sr2-xLaxCuO6 + δ. Across a wide range of doping and temperature, anisotropic CDW peaks with elliptical shapes are found in reciprocal space. Based on Fourier transform analysis of real-space models, the results are interpreted as evidence of unidirectional charge stripes, hosted by mutually 90°-rotated anisotropic domains. This work paves the way for a unified symmetry and microscopic description of CDW order in cuprates.
- Authors:
-
[1];
[1];
[3];
[4];
[1];
[1];
[1];
[5];
[7];
[9];
[1]
- Science and Technology Facilities Council (STFC), Oxford (United Kingdom). Diamond Light Source, Ltd.
- Science and Technology Facilities Council (STFC), Oxford (United Kingdom). Diamond Light Source, Ltd.; Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States). National Synchrotron Light Source II (NSLS-II)
- Science and Technology Facilities Council (STFC), Oxford (United Kingdom). Diamond Light Source, Ltd.; Univ. of Bristol (United Kingdom)
- National Inst. of Advanced Industrial Science and Technology (AIST), Tsukuba (Japan); Univ. of British Columbia, Vancouver, BC (Canada)
- National Inst. of Advanced Industrial Science and Technology (AIST), Tsukuba (Japan)
- Univ. of Tennessee, Knoxville, TN (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); Shanghai Jiao Tong Univ. (China); University of Chinese Academy of Sciences, Beijing (China)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Research Foundation of Korea (NRF); Chinese Academy of Sciences; National Science Foundation of China; Ministry of Science and Technology of China; National Science Foundation (NSF)
- OSTI Identifier:
- 2229109
- Report Number(s):
- BNL-225021-2023-JAAM
Journal ID: ISSN 0935-9648
- Grant/Contract Number:
- SC0012704; RS-2023-00252768; 112111KYSB20170059; 11888101; 2016YFA0401000; DMR-1842056
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Advanced Materials
- Additional Journal Information:
- Journal Name: Advanced Materials; Journal ID: ISSN 0935-9648
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Choi, Jaewon, Li, Jiemin, Nag, Abhishek, Pelliciari, Jonathan, Robarts, Hannah, Tam, Charles C., Walters, Andrew, Agrestini, Stefano, García‐Fernández, Mirian, Song, Dongjoon, Eisaki, Hiroshi, Johnston, Steve, Comin, Riccardo, Ding, Hong, and Zhou, Ke‐Jin. Universal Stripe Symmetry of Short-Range Charge Density Waves in Cuprate Superconductors. United States: N. p., 2023.
Web. doi:10.1002/adma.202307515.
Choi, Jaewon, Li, Jiemin, Nag, Abhishek, Pelliciari, Jonathan, Robarts, Hannah, Tam, Charles C., Walters, Andrew, Agrestini, Stefano, García‐Fernández, Mirian, Song, Dongjoon, Eisaki, Hiroshi, Johnston, Steve, Comin, Riccardo, Ding, Hong, & Zhou, Ke‐Jin. Universal Stripe Symmetry of Short-Range Charge Density Waves in Cuprate Superconductors. United States. https://doi.org/10.1002/adma.202307515
Choi, Jaewon, Li, Jiemin, Nag, Abhishek, Pelliciari, Jonathan, Robarts, Hannah, Tam, Charles C., Walters, Andrew, Agrestini, Stefano, García‐Fernández, Mirian, Song, Dongjoon, Eisaki, Hiroshi, Johnston, Steve, Comin, Riccardo, Ding, Hong, and Zhou, Ke‐Jin. Fri .
"Universal Stripe Symmetry of Short-Range Charge Density Waves in Cuprate Superconductors". United States. https://doi.org/10.1002/adma.202307515. https://www.osti.gov/servlets/purl/2229109.
@article{osti_2229109,
title = {Universal Stripe Symmetry of Short-Range Charge Density Waves in Cuprate Superconductors},
author = {Choi, Jaewon and Li, Jiemin and Nag, Abhishek and Pelliciari, Jonathan and Robarts, Hannah and Tam, Charles C. and Walters, Andrew and Agrestini, Stefano and García‐Fernández, Mirian and Song, Dongjoon and Eisaki, Hiroshi and Johnston, Steve and Comin, Riccardo and Ding, Hong and Zhou, Ke‐Jin},
abstractNote = {The omnipresence of charge density waves (CDWs) across almost all cuprate families underpins a common organizing principle. However, a longstanding debate of whether its spatial symmetry is stripe or checkerboard remains unresolved. While CDWs in lanthanum- and yttrium-based cuprates possess a stripe symmetry, distinguishing these two scenarios is challenging for the short-range CDW in bismuth-based cuprates. Here, high-resolution resonant inelastic x-ray scattering is employed to uncover the spatial symmetry of the CDW in Bi2Sr2-xLaxCuO6 + δ. Across a wide range of doping and temperature, anisotropic CDW peaks with elliptical shapes are found in reciprocal space. Based on Fourier transform analysis of real-space models, the results are interpreted as evidence of unidirectional charge stripes, hosted by mutually 90°-rotated anisotropic domains. This work paves the way for a unified symmetry and microscopic description of CDW order in cuprates.},
doi = {10.1002/adma.202307515},
journal = {Advanced Materials},
number = ,
volume = ,
place = {United States},
year = {Fri Oct 13 00:00:00 EDT 2023},
month = {Fri Oct 13 00:00:00 EDT 2023}
}
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Works referenced in this record:
Ubiquitous Interplay Between Charge Ordering and High-Temperature Superconductivity in Cuprates
journal, December 2013
- da Silva Neto, E. H.; Aynajian, P.; Frano, A.
- Science, Vol. 343, Issue 6169
Spontaneous breaking of rotational symmetry in copper oxide superconductors
journal, July 2017
- Wu, J.; Bollinger, A. T.; He, X.
- Nature, Vol. 547, Issue 7664
Two-Dimensional Superconducting Fluctuations in Stripe-Ordered
journal, August 2007
- Li, Q.; Hücker, M.; Gu, G. D.
- Physical Review Letters, Vol. 99, Issue 6
Single-domain stripe order in a high-temperature superconductor
journal, November 2022
- Simutis, Gediminas; Küspert, Julia; Wang, Qisi
- Communications Physics, Vol. 5, Issue 1
Uniaxial pressure control of competing orders in a high-temperature superconductor
journal, November 2018
- Kim, H. -H.; Souliou, S. M.; Barber, M. E.
- Science, Vol. 362, Issue 6418
Spectroscopic fingerprint of charge order melting driven by quantum fluctuations in a cuprate
journal, August 2020
- Lee, W. S.; Zhou, Ke-Jin; Hepting, M.
- Nature Physics, Vol. 17, Issue 1
Thermodynamic evidence for a nematic phase transition at the onset of the pseudogap in YBa2Cu3Oy
journal, July 2017
- Sato, Y.; Kasahara, S.; Murayama, H.
- Nature Physics, Vol. 13, Issue 11
A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+delta
journal, January 2002
- Hoffman, J. E.
- Science, Vol. 295, Issue 5554
Hard–X-ray diffraction study of charge stripe order in La 1.48 Nd 0.4 Sr 0.12 CuO 4
journal, March 1998
- Zimmermann, M. v.; Vigliante, A.; Niemöller, T.
- Europhysics Letters (EPL), Vol. 41, Issue 6
Dynamical Layer Decoupling in a Stripe-Ordered High- Superconductor
journal, September 2007
- Berg, E.; Fradkin, E.; Kim, E. -A.
- Physical Review Letters, Vol. 99, Issue 12
Electronic liquid-crystal phases of a doped Mott insulator
journal, June 1998
- Kivelson, S. A.; Fradkin, E.; Emery, V. J.
- Nature, Vol. 393, Issue 6685
An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
journal, March 2007
- Kohsaka, Y.; Taylor, C.; Fujita, K.
- Science, Vol. 315, Issue 5817
Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
journal, July 2014
- Fujita, K.; Hamidian, M. H.; Edkins, S. D.
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 30
Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy
journal, September 2011
- Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen
- Nature, Vol. 477, Issue 7363
Magnetic field controlled charge density wave coupling in underdoped YBa2Cu3O6+x
journal, May 2016
- Chang, J.; Blackburn, E.; Ivashko, O.
- Nature Communications, Vol. 7, Issue 1
Spatially inhomogeneous competition between superconductivity and the charge density wave in YBa2Cu3O6.67
journal, February 2020
- Choi, J.; Ivashko, O.; Blackburn, E.
- Nature Communications, Vol. 11, Issue 1
Inhomogeneity of charge-density-wave order and quenched disorder in a high-Tc superconductor
journal, September 2015
- Campi, G.; Bianconi, A.; Poccia, N.
- Nature, Vol. 525, Issue 7569
Spatially modulated 'Mottness' in La2-xBaxCuO4
journal, December 2005
- Abbamonte, P.; Rusydi, A.; Smadici, S.
- Nature Physics, Vol. 1, Issue 3
Observing the fluctuating stripes in high-T c superconductors
journal, December 2007
- Cvetkovic, V.; Nussinov, Z.; Mukhin, S.
- EPL (Europhysics Letters), Vol. 81, Issue 2
Uniaxial pressure induced stripe order rotation in La1.88Sr0.12CuO4
journal, April 2022
- Wang, Qisi; von Arx, K.; Mazzone, D. G.
- Nature Communications, Vol. 13, Issue 1
Coexistence of periodic modulation of quasiparticle states and superconductivity in Bi2Sr2CaCu2O8+
journal, August 2003
- Howald, C.; Eisaki, H.; Kaneko, N.
- Proceedings of the National Academy of Sciences, Vol. 100, Issue 17
Charge ordering in the electron-doped superconductor Nd2-xCexCuO4
journal, January 2015
- da Silva Neto, E. H.; Comin, R.; He, F.
- Science, Vol. 347, Issue 6219
Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45
journal, January 2008
- Hinkov, V.; Haug, D.; Fauque, B.
- Science, Vol. 319, Issue 5863
Nematic Fermi Fluids in Condensed Matter Physics
journal, August 2010
- Fradkin, Eduardo; Kivelson, Steven A.; Lawler, Michael J.
- Annual Review of Condensed Matter Physics, Vol. 1, Issue 1
Signatures of a strange metal in a bosonic system
journal, January 2022
- Yang, Chao; Liu, Haiwen; Liu, Yi
- Nature, Vol. 601, Issue 7892
Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67
journal, October 2012
- Chang, J.; Blackburn, E.; Holmes, A. T.
- Nature Physics, Vol. 8, Issue 12
Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
journal, July 2010
- Lawler, M. J.; Fujita, K.; Lee, Jhinhwan
- Nature, Vol. 466, Issue 7304
Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor
journal, May 2014
- He, Y.; Yin, Y.; Zech, M.
- Science, Vol. 344, Issue 6184
High-Temperature Charge-Stripe Correlations in
journal, May 2020
- Wang, Qisi; Horio, M.; von Arx, K.
- Physical Review Letters, Vol. 124, Issue 18
Evidence for stripe correlations of spins and holes in copper oxide superconductors
journal, June 1995
- Tranquada, J. M.; Sternlieb, B. J.; Axe, J. D.
- Nature, Vol. 375, Issue 6532
Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
journal, January 2019
- Zaanen, Jan
- SciPost Physics, Vol. 6, Issue 5
Observation of two types of charge-density-wave orders in superconducting La2-xSrxCuO4
journal, July 2019
- Wen, J. -J.; Huang, H.; Lee, S. -J.
- Nature Communications, Vol. 10, Issue 1
Re-entrant charge order in overdoped (Bi,Pb)2.12Sr1.88CuO6+δ outside the pseudogap regime
journal, June 2018
- Peng, Y. Y.; Fumagalli, R.; Ding, Y.
- Nature Materials, Vol. 17, Issue 8
Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor
journal, January 2010
- Daou, R.; Chang, J.; LeBoeuf, David
- Nature, Vol. 463, Issue 7280
Broken translational and rotational symmetry via charge stripe order in underdoped YBa2Cu3O6+y
journal, March 2015
- Comin, R.; Sutarto, R.; da Silva Neto, E. H.
- Science, Vol. 347, Issue 6228
Theory of the pseudogap state of the cuprates
journal, April 2006
- Varma, C. M.
- Physical Review B, Vol. 73, Issue 15
From quantum matter to high-temperature superconductivity in copper oxides
journal, February 2015
- Keimer, B.; Kivelson, S. A.; Norman, M. R.
- Nature, Vol. 518, Issue 7538
Competition between Charge- and Spin-Density-Wave Order and Superconductivity in
journal, April 2002
- Fujita, M.; Goka, H.; Yamada, K.
- Physical Review Letters, Vol. 88, Issue 16
Direct observation of charge order in underdoped and optimally doped by resonant inelastic x-ray scattering
journal, November 2016
- Peng, Y. Y.; Salluzzo, M.; Sun, X.
- Physical Review B, Vol. 94, Issue 18
Intertwined spin, charge, and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit
journal, February 2022
- Mai, Peizhi; Karakuzu, Seher; Balduzzi, Giovanni
- Proceedings of the National Academy of Sciences, Vol. 119, Issue 7
Low-energy gap emerging from confined nematic states in extremely underdoped cuprate superconductors
journal, April 2023
- Li, Huazhou; Li, Han; Wang, Zhaohui
- npj Quantum Materials, Vol. 8, Issue 1
Unveiling Unequivocal Charge Stripe Order in a Prototypical Cuprate Superconductor
journal, May 2022
- Choi, J.; Wang, Q.; Jöhr, S.
- Physical Review Letters, Vol. 128, Issue 20
Resonant X-Ray Scattering Studies of Charge Order in Cuprates
journal, March 2016
- Comin, Riccardo; Damascelli, Andrea
- Annual Review of Condensed Matter Physics, Vol. 7, Issue 1
Charge Density Waves in Probed by Resonant X-Ray Scattering under Uniaxial Compression
journal, January 2021
- Kim, H. -H.; Lefrançois, E.; Kummer, K.
- Physical Review Letters, Vol. 126, Issue 3
Visualization of the emergence of the pseudogap state and the evolution to superconductivity in a lightly hole-doped Mott insulator
journal, May 2012
- Kohsaka, Y.; Hanaguri, T.; Azuma, M.
- Nature Physics, Vol. 8, Issue 7
Comment on "Broken translational and rotational symmetry via charge stripe order in underdoped YBa2Cu3O6+y"
journal, January 2016
- Fine, B. V.
- Science, Vol. 351, Issue 6270
The pseudogap in high-temperature superconductors: an experimental survey
journal, January 1999
- Timusk, Tom; Statt, Bryan
- Reports on Progress in Physics, Vol. 62, Issue 1
Charge Order Driven by Fermi-Arc Instability in Bi2Sr2-xLaxCuO6+
journal, December 2013
- Comin, R.; Frano, A.; Yee, M. M.
- Science, Vol. 343, Issue 6169
Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x
journal, July 2012
- Ghiringhelli, G.; Le Tacon, M.; Minola, M.
- Science, Vol. 337, Issue 6096
Comparison of charge modulations in La Ba CuO and YBa Cu O
journal, July 2013
- Thampy, V.; Blanco-Canosa, S.; García-Fernández, M.
- Physical Review B, Vol. 88, Issue 2
Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors
journal, November 2017
- Huang, Edwin W.; Mendl, Christian B.; Liu, Shenxiu
- Science, Vol. 358, Issue 6367
Symmetry of charge order in cuprates
journal, May 2015
- Comin, R.; Sutarto, R.; He, F.
- Nature Materials, Vol. 14, Issue 8
A ‘checkerboard’ electronic crystal state in lightly hole-doped Ca2-xNaxCuO2Cl2
journal, August 2004
- Hanaguri, T.; Lupien, C.; Kohsaka, Y.
- Nature, Vol. 430, Issue 7003
The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond
journal, March 2020
- Agterberg, Daniel F.; Davis, J. C. Séamus; Edkins, Stephen D.
- Annual Review of Condensed Matter Physics, Vol. 11, Issue 1
X-ray absorption spectroscopy and actinide electrochemistry: a setup dedicated to radioactive samples applied to neptunium chemistry
journal, January 2022
- Husar, Richard; Dumas, Thomas; Schlegel, Michel L.
- Journal of Synchrotron Radiation, Vol. 29, Issue 1
Distinguishing patterns of charge order: Stripes or checkerboards
journal, October 2006
- Robertson, John A.; Kivelson, Steven A.; Fradkin, Eduardo
- Physical Review B, Vol. 74, Issue 13
Rotated stripe order and its competition with superconductivity in
journal, September 2014
- Thampy, V.; Dean, M. P. M.; Christensen, N. B.
- Physical Review B, Vol. 90, Issue 10
Imaging the energy gap modulations of the cuprate pair-density-wave state
journal, April 2020
- Du, Zengyi; Li, Hui; Joo, Sang Hyun
- Nature, Vol. 580, Issue 7801
Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state
journal, October 2015
- Hamidian, M. H.; Edkins, S. D.; Kim, Chung Koo
- Nature Physics, Vol. 12, Issue 2
How to detect fluctuating stripes in the high-temperature superconductors
journal, October 2003
- Kivelson, S. A.; Bindloss, I. P.; Fradkin, E.
- Reviews of Modern Physics, Vol. 75, Issue 4
The emergence of global phase coherence from local pairing in underdoped cuprates
journal, June 2023
- Ye, Shusen; Zou, Changwei; Yan, Hongtao
- Nature Physics, Vol. 19, Issue 9
The Challenge of Unconventional Superconductivity
journal, April 2011
- Norman, M. R.
- Science, Vol. 332, Issue 6026
Multiorbital charge-density wave excitations and concomitant phonon anomalies in Bi 2 Sr 2 LaCuO 6+δ
journal, June 2020
- Li, Jiemin; Nag, Abhishek; Pelliciari, Jonathan
- Proceedings of the National Academy of Sciences, Vol. 117, Issue 28
Signature of Superfluid Density in the Single-Particle Excitation Spectrum of Bi2Sr2CaCu2O8+delta
journal, July 2000
- Feng, D. L.
- Science, Vol. 289, Issue 5477
Growth and post-annealing studies of Bi 2 Sr 2− x La x CuO 6+δ (0≤ x ≤1.00) single crystals
journal, November 2008
- Luo, Huiqian; Cheng, Peng; Fang, Lei
- Superconductor Science and Technology, Vol. 21, Issue 12
Resonant inelastic x-ray scattering study of the spin and charge excitations in the overdoped superconductor
journal, February 2016
- Monney, C.; Schmitt, T.; Matt, C. E.
- Physical Review B, Vol. 93, Issue 7
Visualizing the evolution from the Mott insulator to a charge-ordered insulator in lightly doped cuprates
journal, August 2016
- Cai, Peng; Ruan, Wei; Peng, Yingying
- Nature Physics, Vol. 12, Issue 11
Doping-dependent charge order correlations in electron-doped cuprates
journal, August 2016
- da Silva Neto, Eduardo H.; Yu, Biqiong; Minola, Matteo
- Science Advances, Vol. 2, Issue 8
Intermediate bosonic metallic state in the superconductor-insulator transition
journal, November 2019
- Yang, Chao; Liu, Yi; Wang, Yang
- Science, Vol. 366, Issue 6472
Charge-density-wave origin of cuprate checkerboard visualized by scanning tunnelling microscopy
journal, July 2008
- Wise, W. D.; Boyer, M. C.; Chatterjee, Kamalesh
- Nature Physics, Vol. 4, Issue 9
Local Ordering in the Pseudogap State of the High-Tc Superconductor Bi2Sr2CaCu2O8+
journal, March 2004
- Vershinin, M.
- Science, Vol. 303, Issue 5666