Magnetic field–induced pair density wave state in the cuprate vortex halo

Edkins, S. D.; Kostin, A.; Fujita, K.; Mackenzie, A. P.; Eisaki, H.; Uchida, S.; Sachdev, Subir; Lawler, Michael J.; Kim, E. -A.; Séamus Davis, J. C.; Hamidian, M. H.

doi:10.1126/science.aat1773

Magnetic field–induced pair density wave state in the cuprate vortex halo

Journal Article · Thu Jun 06 00:00:00 EDT 2019 · Science

DOI:https://doi.org/10.1126/science.aat1773· OSTI ID:1547160

; ; Fujita, K.; Mackenzie, A. P.; Eisaki, H.; Uchida, S.; ; ; ; ;

High magnetic fields suppress cuprate superconductivity to reveal an unusual density wave (DW) state coexisting with unexplained quantum oscillations. Although routinely labeled a charge density wave (CDW), this DW state could actually be an electron-pair density wave (PDW). To search for evidence of a field-induced PDW, we visualized modulations in the density of electronic states N ( r ) within the halo surrounding Bi ₂ Sr ₂ CaCu ₂ O ₈ vortex cores. We detected numerous phenomena predicted for a field-induced PDW, including two sets of particle-hole symmetric N ( r ) modulations with wave vectors Q _P and 2 Q _P , with the latter decaying twice as rapidly from the core as the former. These data imply that the primary field-induced state in underdoped superconducting cuprates is a PDW, with approximately eight CuO ₂ unit-cell periodicity and coexisting with its secondary CDWs.

View Journal Article

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Cornell University, Ithaca, NY (United States)

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

Grant/Contract Number:: AC02-98CH10886; SC0012704; SC0018946

OSTI ID:: 1547160

Alternate ID(s):: OSTI ID: 2322516
OSTI ID: 1546042

Report Number(s):: BNL--211893-2019-JAAM; /sci/364/6444/976.atom

Journal Information:: Science, Journal Name: Science Journal Issue: 6444 Vol. 364; ISSN 0036-8075

Publisher:: American Association for the Advancement of Science (AAAS)Copyright Statement

Country of Publication:: United States

Language:: English

References (53)

From quantum oscillations to charge order in high- copper oxides in high magnetic fields Vignolle, Baptiste; Vignolles, David; Julien, Marc-Henri Comptes Rendus Physique, Vol. 14, Issue 1 https://doi.org/10.1016/j.crhy.2012.11.001	journal	January 2013
A Bragg glass phase in the vortex lattice of a type II superconductor Klein, T.; Joumard, I.; Blanchard, S. Nature, Vol. 413, Issue 6854 https://doi.org/10.1038/35096534	journal	September 2001
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
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
Detection of a Cooper-pair density wave in Bi2Sr2CaCu2O8+x Hamidian, M. H.; Edkins, S. D.; Joo, Sang Hyun Nature, Vol. 532, Issue 7599 https://doi.org/10.1038/nature17411	journal	April 2016
Magnetic field controlled charge density wave coupling in underdoped YBa2Cu3O6+x Chang, J.; Blackburn, E.; Ivashko, O. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11494	journal	May 2016
Bipartite electronic superstructures in the vortex core of Bi2Sr2CaCu2O8+δ Machida, T.; Kohsaka, Y.; Matsuoka, K. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11747	journal	May 2016
Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7438	journal	March 2015
Charge-4e superconductivity from pair-density-wave order in certain high-temperature superconductors Berg, Erez; Fradkin, Eduardo; Kivelson, Steven A. Nature Physics, Vol. 5, Issue 11 https://doi.org/10.1038/nphys1389	journal	September 2009
Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67 Chang, J.; Blackburn, E.; Holmes, A. T. Nature Physics, Vol. 8, Issue 12 https://doi.org/10.1038/nphys2456	journal	October 2012
Thermodynamic phase diagram of static charge order in underdoped YBa2Cu3Oy LeBoeuf, David; Krämer, S.; Hardy, W. N. Nature Physics, Vol. 9, Issue 2 https://doi.org/10.1038/nphys2502	journal	December 2012
Dislocations and vortices in pair-density-wave superconductors Agterberg, D. F.; Tsunetsugu, H. Nature Physics, Vol. 4, Issue 8 https://doi.org/10.1038/nphys999	journal	June 2008
Magnetic phase diagram of underdoped YBa ₂ Cu ₃ O _y inferred from torque magnetization and thermal conductivity Yu, Fan; Hirschberger, Max; Loew, Toshinao Proceedings of the National Academy of Sciences, Vol. 113, Issue 45 https://doi.org/10.1073/pnas.1612591113	journal	October 2016
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
Quantum oscillations in a biaxial pair density wave state Norman, M. R.; Davis, J. C. Séamus Proceedings of the National Academy of Sciences, Vol. 115, Issue 21 https://doi.org/10.1073/pnas.1803009115	journal	May 2018
Dispersing artifacts in FT-STS: a comparison of set point effects across acquisition modes Macdonald, A. J.; Tremblay-Johnston, Y-S; Grothe, S. Nanotechnology, Vol. 27, Issue 41 https://doi.org/10.1088/0957-4484/27/41/414004	journal	September 2016
Striped superconductors: how spin, charge and superconducting orders intertwine in the cuprates Berg, Erez; Fradkin, Eduardo; Kivelson, Steven A. New Journal of Physics, Vol. 11, Issue 11 https://doi.org/10.1088/1367-2630/11/11/115004	journal	November 2009
Nature of stripes in the generalized t – J model applied to the cuprate superconductors Yang, Kai-Yu; Chen, Wei Qiang; Rice, T. M. New Journal of Physics, Vol. 11, Issue 5 https://doi.org/10.1088/1367-2630/11/5/055053	journal	May 2009
Superconductivity in a Strong Spin-Exchange Field Fulde, Peter; Ferrell, Richard A. Physical Review, Vol. 135, Issue 3A https://doi.org/10.1103/PhysRev.135.A550	journal	August 1964
Quasiparticle spectrum around a vortex line in a d -wave superconductor Schopohl, Nils; Maki, Kazumi Physical Review B, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevB.52.490	journal	July 1995
Vortex structure in d -wave superconductors Ichioka, M.; Hayashi, N.; Enomoto, N. Physical Review B, Vol. 53, Issue 22 https://doi.org/10.1103/PhysRevB.53.15316	journal	June 1996
Vortex state in a d -wave superconductor Franz, M.; Kallin, C.; Soininen, P. I. Physical Review B, Vol. 53, Issue 9 https://doi.org/10.1103/PhysRevB.53.5795	journal	March 1996
Competing order in the mixed state of high-temperature superconductors Kivelson, Steven A.; Lee, Dung-Hai; Fradkin, Eduardo Physical Review B, Vol. 66, Issue 14 https://doi.org/10.1103/PhysRevB.66.144516	journal	October 2002
Distinguishing patterns of charge order: Stripes or checkerboards Robertson, John A.; Kivelson, Steven A.; Fradkin, Eduardo Physical Review B, Vol. 74, Issue 13 https://doi.org/10.1103/PhysRevB.74.134507	journal	October 2006
Unidirectional d -wave superconducting domains in the two-dimensional t − J model Raczkowski, Marcin; Capello, Manuela; Poilblanc, Didier Physical Review B, Vol. 76, Issue 14 https://doi.org/10.1103/PhysRevB.76.140505	journal	October 2007
Superconducting state with a finite-momentum pairing mechanism in zero external magnetic field Loder, Florian; Kampf, Arno P.; Kopp, Thilo Physical Review B, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevB.81.020511	journal	January 2010
Mixed state of a π -striped superconductor Zelli, M.; Kallin, Catherine; Berlinsky, A. John Physical Review B, Vol. 84, Issue 17 https://doi.org/10.1103/PhysRevB.84.174525	journal	November 2011
Quantum oscillations in a π -striped superconductor Zelli, M.; Kallin, Catherine; Berlinsky, A. John Physical Review B, Vol. 86, Issue 10 https://doi.org/10.1103/PhysRevB.86.104507	journal	September 2012
Mean-field theory of competing orders in metals with antiferromagnetic exchange interactions Sau, Jay D.; Sachdev, Subir Physical Review B, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevB.89.075129	journal	February 2014
Vortices and charge order in high- T c superconductors Einenkel, M.; Meier, H.; Pépin, C. Physical Review B, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevB.90.054511	journal	August 2014
Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors Pépin, C.; de Carvalho, V. S.; Kloss, T. Physical Review B, Vol. 90, Issue 19 https://doi.org/10.1103/PhysRevB.90.195207	journal	November 2014
Emergent loop current order from pair density wave superconductivity Agterberg, D. F.; Melchert, Drew S.; Kashyap, M. K. Physical Review B, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevB.91.054502	journal	February 2015
Checkerboard order in vortex cores from pair-density-wave superconductivity Agterberg, Daniel F.; Garaud, Julien Physical Review B, Vol. 91, Issue 10 https://doi.org/10.1103/PhysRevB.91.104512	journal	March 2015
Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors Freire, Hermann; de Carvalho, Vanuildo S.; Pépin, Catherine Physical Review B, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevB.92.045132	journal	July 2015
Pair density waves in superconducting vortex halos Wang, Yuxuan; Edkins, Stephen D.; Hamidian, Mohammad H. Physical Review B, Vol. 97, Issue 17 https://doi.org/10.1103/PhysRevB.97.174510	journal	May 2018
Pair-density waves, charge-density waves, and vortices in high- T c cuprates Dai, Zhehao; Zhang, Ya-Hui; Senthil, T. Physical Review B, Vol. 97, Issue 17 https://doi.org/10.1103/PhysRevB.97.174511	journal	May 2018
Momentum-Dependent Charge Correlations in YBa 2 Cu 3 O 6 + δ Superconductors Probed by Resonant X-Ray Scattering: Evidence for Three Competing Phases Blanco-Canosa, S.; Frano, A.; Loew, T. Physical Review Letters, Vol. 110, Issue 18 https://doi.org/10.1103/PhysRevLett.110.187001	journal	May 2013
Competing States in the t - J Model: Uniform d -Wave State versus Stripe State Corboz, Philippe; Rice, T. M.; Troyer, Matthias Physical Review Letters, Vol. 113, Issue 4 https://doi.org/10.1103/PhysRevLett.113.046402	journal	July 2014
Coexistence of Charge-Density-Wave and Pair-Density-Wave Orders in Underdoped Cuprates Wang, Yuxuan; Agterberg, Daniel F.; Chubukov, Andrey Physical Review Letters, Vol. 114, Issue 19 https://doi.org/10.1103/PhysRevLett.114.197001	journal	May 2015
Intertwined Order and Holography: The Case of Parity Breaking Pair Density Waves Cai, Rong-Gen; Li, Li; Wang, Yong-Qiang Physical Review Letters, Vol. 119, Issue 18 https://doi.org/10.1103/PhysRevLett.119.181601	journal	November 2017
Quasiparticle Spectra around a Single Vortex in a d -Wave Superconductor Morita, Y.; Kohmoto, M.; Maki, K. Physical Review Letters, Vol. 78, Issue 25 https://doi.org/10.1103/PhysRevLett.78.4841	journal	June 1997
Self-Consistent Electronic Structure of a d x 2 − y 2 and a d x 2 − y 2 + id xy Vortex Franz, M.; Tešanović, Z. Physical Review Letters, Vol. 80, Issue 21 https://doi.org/10.1103/PhysRevLett.80.4763	journal	May 1998
Imaging of a Vortex Lattice Transition in YNi 2 B 2 C by Scanning Tunneling Spectroscopy Sakata, Hideaki; Oosawa, Morimi; Matsuba, Ken Physical Review Letters, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevLett.84.1583	journal	February 2000
Stripe States with Spatially Oscillating d -Wave Superconductivity in the Two-Dimensional t − t ′ − J Model Himeda, A.; Kato, T.; Ogata, M. Physical Review Letters, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevLett.88.117001	journal	February 2002
Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La 1.875 Ba 0.125 CuO 4 Li, Q.; Hücker, M.; Gu, G. D. Physical Review Letters, Vol. 99, Issue 6 https://doi.org/10.1103/PhysRevLett.99.067001	journal	August 2007
Dynamical Layer Decoupling in a Stripe-Ordered High- T c Superconductor Berg, E.; Fradkin, E.; Kim, E. -A. Physical Review Letters, Vol. 99, Issue 12 https://doi.org/10.1103/PhysRevLett.99.127003	journal	September 2007
Amperean Pairing and the Pseudogap Phase of Cuprate Superconductors Lee, Patrick A. Physical Review X, Vol. 4, Issue 3 https://doi.org/10.1103/PhysRevX.4.031017	journal	July 2014
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
Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields Gerber, S.; Jang, H.; Nojiri, H. Science, Vol. 350, Issue 6263 https://doi.org/10.1126/science.aac6257	journal	November 2015
First Observation of the Fourfold-symmetric and Quantum Regime Vortex Core in YNi ₂ B ₂ C by Scanning Tunneling Microscopy and Spectroscopy Nishimori, Hitoshi; Uchiyama, Kazuharu; Kaneko, Shin-ichi Journal of the Physical Society of Japan, Vol. 73, Issue 12 https://doi.org/10.1143/JPSJ.73.3247	journal	December 2004
Anti-phase Modulation of Electron- and Hole-like States in Vortex Core of Bi ₂ Sr ₂ CaCu ₂ O _x Probed by Scanning Tunneling Spectroscopy Matsuba, Ken; Yoshizawa, Shunsuke; Mochizuki, Yugo Journal of the Physical Society of Japan, Vol. 76, Issue 6 https://doi.org/10.1143/JPSJ.76.063704	journal	June 2007
Quantum Oscillations in Hole-Doped Cuprates Sebastian, Suchitra E.; Proust, Cyril Annual Review of Condensed Matter Physics, Vol. 6, Issue 1 https://doi.org/10.1146/annurev-conmatphys-030212-184305	journal	March 2015
High-Resolution Scanning Tunneling Spectroscopy of Vortex Cores in Inhomogeneous Electronic States of Bi ₂ Sr ₂ CaCu ₂ O _x Yoshizawa, Shunsuke; Koseki, Taiji; Matsuba, Ken Journal of the Physical Society of Japan, Vol. 82, Issue 8 https://doi.org/10.7566/JPSJ.82.083706	journal	August 2013

Similar Records

Imaging the energy gap modulations of the cuprate pair-density-wave state

Journal Article · Tue Mar 31 20:00:00 EDT 2020 · Nature (London) · OSTI ID:1615773

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Magnetic field–induced pair density wave state in the cuprate vortex halo

Citation Formats

References (53)

Similar Records

Related Subjects