Pair-density waves, charge-density waves, and vortices in high-Tc cuprates

Dai, Zhehao; Zhang, Ya-Hui; Senthil, T.; Lee, Patrick A.

doi:10.1103/physrevb.97.174511

Pair-density waves, charge-density waves, and vortices in high-T_c cuprates

Journal Article · Mon May 14 00:00:00 EDT 2018 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.97.174511· OSTI ID:1777869

Dai, Zhehao ^[1]; Zhang, Ya-Hui ^[2]; Senthil, T. ^[2]; Lee, Patrick A. ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); MIT
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

A recent scanning tunneling microscopy (STM) experiment reports the observation of a charge-density wave (CDW) with a period of approximately 8a in the halo region surrounding the vortex core, in striking contrast to the approximately 4a period CDWs that are commonly observed in the cuprates. Inspired by this work, we study a model where a bidirectional pair-density wave (PDW) with period 8 is at play. This further divides into two classes: (1) where the PDW is a competing state of the d-wave superconductor and can exist only near the vortex core where the d-wave order is suppressed and (2) where the PDW is the primary order, the so-called “mother state” that persists with strong phase fluctuations to high temperature and high magnetic field and lies behind the pseudogap phenomenology. We study the charge-density wave structures near the vortex core in these models. We emphasize the importance of the phase winding of the d-wave order parameter. The PDW can be pinned by the vortex core due to this winding and become static. Furthermore, the period-8 CDW inherits the properties of this winding, which gives rise to a special feature of the Fourier transform peak, namely, it is split in certain directions. There is also a line of zeros in the inverse Fourier transform of filtered data. We propose that these are key experimental signatures that can distinguish between the PDW-driven scenario from the more mundane option that the period-8 CDW is primary. We discuss the pro's and con's of the options considered above. Lastly, we attempt to place the STM experiment in the broader context of pseudogap physics of underdoped cuprates and relate this observation to the unusual properties of x-ray scattering data on CDW carried out to very high magnetic field.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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

Grant/Contract Number:: FG02-03ER46076; SC0008739

OSTI ID:: 1777869

Alternate ID(s):: OSTI ID: 1540856
OSTI ID: 1437086

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 17 Vol. 97; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (70)

Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates Wang, Yuxuan; Agterberg, Daniel F.; Chubukov, Andrey arXiv https://doi.org/10.48550/arxiv.1501.07287	text	January 2015
Novel magnetic order in the pseudogap state of high- copper oxides superconductors Bourges, Philippe; Sidis, Yvan Comptes Rendus Physique, Vol. 12, Issue 5-6 https://doi.org/10.1016/j.crhy.2011.04.006	journal	June 2011
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
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
Bounding the pseudogap with a line of phase transitions in YBa2Cu3O6+δ Shekhter, Arkady; Ramshaw, B. J.; Liang, Ruixing Nature, Vol. 498, Issue 7452 https://doi.org/10.1038/nature12165	journal	June 2013
From quantum matter to high-temperature superconductivity in copper oxides Keimer, B.; Kivelson, S. A.; Norman, M. R. Nature, Vol. 518, Issue 7538 https://doi.org/10.1038/nature14165	journal	February 2015
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
Emergence of charge order from the vortex state of a high-temperature superconductor Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3113	journal	July 2013
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
Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state Hamidian, M. H.; Edkins, S. D.; Kim, Chung Koo Nature Physics, Vol. 12, Issue 2 https://doi.org/10.1038/nphys3519	journal	October 2015
A global inversion-symmetry-broken phase inside the pseudogap region of YBa2Cu3Oy Zhao, L.; Belvin, C. A.; Liang, R. Nature Physics, Vol. 13, Issue 3 https://doi.org/10.1038/nphys3962	journal	November 2016
Thermodynamic evidence for a nematic phase transition at the onset of the pseudogap in YBa2Cu3Oy Sato, Y.; Kasahara, S.; Murayama, H. Nature Physics, Vol. 13, Issue 11 https://doi.org/10.1038/nphys4205	journal	July 2017
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
Spin susceptibility of charge-ordered YBa ₂ Cu ₃ O _y across the upper critical field Zhou, Rui; Hirata, Michihiro; Wu, Tao Proceedings of the National Academy of Sciences, Vol. 114, Issue 50 https://doi.org/10.1073/pnas.1711445114	journal	November 2017
Towards resolution of the Fermi surface in underdoped high- T _c superconductors Sebastian, Suchitra E.; Harrison, Neil; Lonzarich, Gilbert G. Reports on Progress in Physics, Vol. 75, Issue 10 https://doi.org/10.1088/0034-4885/75/10/102501	journal	September 2012
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
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
Magnetic oscillations and quasiparticle band structure in the mixed state of type-II superconductors Norman, M. R.; MacDonald, A. H.; Akera, Hiroshi Physical Review B, Vol. 51, Issue 9 https://doi.org/10.1103/PhysRevB.51.5927	journal	March 1995
Doping dependence of the spatially modulated dynamical spin correlations and the superconducting-transition temperature in La 2 − x Sr x CuO 4 Yamada, K.; Lee, C. H.; Kurahashi, K. Physical Review B, Vol. 57, Issue 10 https://doi.org/10.1103/PhysRevB.57.6165	journal	March 1998
Theory of the pseudogap state of the cuprates Varma, C. M. Physical Review B, Vol. 73, Issue 15 https://doi.org/10.1103/PhysRevB.73.155113	journal	April 2006
Spectral signatures of modulated d -wave superconducting phases Baruch, Shirit; Orgad, Dror Physical Review B, Vol. 77, Issue 17 https://doi.org/10.1103/PhysRevB.77.174502	journal	May 2008
Theory of the striped superconductor Berg, Erez; Fradkin, Eduardo; Kivelson, Steven A. Physical Review B, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevB.79.064515	journal	February 2009
Violation of the Onsager relation for quantum oscillations in superconductors Chen, Kuang-Ting; Lee, Patrick A. Physical Review B, Vol. 79, Issue 18 https://doi.org/10.1103/PhysRevB.79.180510	journal	May 2009
Quantum criticality in dissipative quantum two-dimensional X Y and Ashkin-Teller models: Application to the cuprates Aji, Vivek; Varma, C. M. Physical Review B, Vol. 79, Issue 18 https://doi.org/10.1103/PhysRevB.79.184501	journal	May 2009
Loop current order and d -wave superconductivity: Some observable consequences Allais, Andrea; Senthil, T. Physical Review B, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevB.86.045118	journal	July 2012
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
Quantum oscillations of the specific heat in d -wave superconductors with loop current order Wang, Luyang; Vafek, Oskar Physical Review B, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevB.88.024506	journal	July 2013
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
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
Observation of two distinct pairs fluctuation lifetimes and supercurrents in the pseudogap regime of cuprate junctions Koren, Gad; Lee, Patrick A. Physical Review B, Vol. 94, Issue 17 https://doi.org/10.1103/PhysRevB.94.174515	journal	November 2016
Synchrotron x-ray scattering study of charge-density-wave order in HgBa 2 CuO 4 + δ Tabis, W.; Yu, B.; Bialo, I. Physical Review B, Vol. 96, Issue 13 https://doi.org/10.1103/PhysRevB.96.134510	journal	October 2017
No evidence for orbital loop currents in charge-ordered YBa 2 Cu 3 O 6 + x from polarized neutron diffraction Croft, T. P.; Blackburn, E.; Kulda, J. Physical Review B, Vol. 96, Issue 21 https://doi.org/10.1103/PhysRevB.96.214504	journal	December 2017
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
X-Ray Diffraction Observations of a Charge-Density-Wave Order in Superconducting Ortho-II YBa 2 Cu 3 O 6.54 Single Crystals in Zero Magnetic Field Blackburn, E.; Chang, J.; Hücker, M. Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.137004	journal	March 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
c -Axis Optical Response in the Static Stripe Ordered Phase of the Cuprates Tajima, S.; Noda, T.; Eisaki, H. Physical Review Letters, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevLett.86.500	journal	January 2001
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
Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to κ − ( BEDT − TTF ) 2 Cu 2 ( CN ) 3 Lee, Sung-Sik; Lee, Patrick A.; Senthil, T. Physical Review Letters, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevLett.98.067006	journal	February 2007
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
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
From a Single-Band Metal to a High-Temperature Superconductor via Two Thermal Phase Transitions He, R. -H.; Hashimoto, M.; Karapetyan, H. Science, Vol. 331, Issue 6024 https://doi.org/10.1126/science.1198415	journal	March 2011
Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x Ghiringhelli, G.; Le Tacon, M.; Minola, M. Science, Vol. 337, Issue 6096 https://doi.org/10.1126/science.1223532	journal	July 2012
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
Unconventional Low-Energy Excitations of Cuprate Superconductors Yeh, N. -C.; Beyer, A. D. International Journal of Modern Physics B, Vol. 23, Issue 22 https://doi.org/10.1142/S021797920905403X	journal	September 2009
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
Scanning tunneling spectroscopic evidence for magnetic-field–induced microscopic orders in the high-T _c superconductor YBa ₂ Cu ₃ O _{7- δ} Beyer, A. D.; Grinolds, M. S.; Teague, M. L. EPL (Europhysics Letters), Vol. 87, Issue 3 https://doi.org/10.1209/0295-5075/87/37005	journal	August 2009
c-Axis Optical Response in the Static Stripe Ordered Phase of the Cuprates Eisaki, H.; Noda, T.; Tajima, S. The American Physical Society https://doi.org/10.17877/de290r-12083	text	January 2001
Synchrotron X-Ray Scattering Study of Charge-Density-Wave Order in $HgBa_{2}CuO_{4+δ}$ Tabis, W.; Yu, B.; Bialo, I. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-11437	text	January 2017
Theory of the striped superconductor Berg, Erez; Fradkin, Eduardo; Kivelson, Steven A. arXiv https://doi.org/10.48550/arxiv.0810.1564	text	January 2008
Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors Berg, E.; Fradkin, E.; Kivelson, S. A. arXiv https://doi.org/10.48550/arxiv.0904.1230	text	January 2009
Towards resolution of the Fermi surface in underdoped high-Tc superconductors Sebastian, Suchitra E.; Harrison, Neil; Lonzarich, Gilbert G. arXiv https://doi.org/10.48550/arxiv.1112.1373	text	January 2011
Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x) Ghiringhelli, G.; Tacon, M. Le; Minola, M. arXiv https://doi.org/10.48550/arxiv.1207.0915	text	January 2012
Quantum oscillations of the specific heat in d-wave superconductors with loop current order Wang, Luyang; Vafek, Oskar arXiv https://doi.org/10.48550/arxiv.1301.5629	text	January 2013
Amperean pairing and the pseudogap phase of cuprate superconductors Lee, Patrick A. arXiv https://doi.org/10.48550/arxiv.1401.0519	text	January 2014
Competing states in the t-J model: uniform d-wave state versus stripe state Corboz, Philippe; Rice, T. M.; Troyer, Matthias arXiv https://doi.org/10.48550/arxiv.1402.2859	text	January 2014
Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy Wu, T.; Mayaffre, H.; Krämer, S. arXiv https://doi.org/10.48550/arxiv.1404.1617	text	January 2014
Emergent loop current order from pair density wave superconductivity Agterberg, Daniel F.; Melchert, Drew S.; Kashyap, Manoj K. arXiv https://doi.org/10.48550/arxiv.1406.4959	text	January 2014
Checkerboard order in vortex cores from pair-density-wave superconductivity Agterberg, Daniel F.; Garaud, Julien arXiv https://doi.org/10.48550/arxiv.1412.5101	text	January 2014
Quantum Oscillations in Hole-Doped Cuprates Sebastian, Suchitra E.; Proust, C. arXiv https://doi.org/10.48550/arxiv.1507.01315	text	January 2015
Ideal charge density wave order in the high-field state of superconducting YBCO Jang, H.; Lee, W. -S.; Nojiri, H. arXiv https://doi.org/10.48550/arxiv.1607.05359	text	January 2016
Pair Density Waves in Superconducting Vortex Halos Wang, Yuxuan; Edkins, Stephen D.; Hamidian, Mohammad H. arXiv https://doi.org/10.48550/arxiv.1802.01582	text	January 2018
Magnetic field controlled charge density wave coupling in underdoped YBa2Cu3O6+x Chang, J.; Blackburn, E.; Ivashko, O. Nature Publishing Group https://doi.org/10.5167/uzh-131029	text	January 2016

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