Josephson Scanning Tunneling Spectroscopy in dx2-y2 -Wave Superconductors: A Probe for the Nature of the Pseudogap in the Cuprate Superconductors

Graham, Martin; Morr, Dirk K.

doi:10.1103/PhysRevLett.123.017001

Title: Josephson Scanning Tunneling Spectroscopy in $d_{x^{2} - y^{2}}$ -Wave Superconductors: A Probe for the Nature of the Pseudogap in the Cuprate Superconductors

Journal Article · 02 July 2019 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.123.017001 · OSTI ID:1593518

Graham, Martin ^[1];

^[1]

Univ. of Illinois, Chicago, IL (United States)

Recent advances in the development of Josephson scanning tunneling spectroscopy (JSTS) have opened a new path for the exploration of unconventional superconductors. We demonstrate that the critical current $I_{c}$ , measured via JSTS, images the spatial form of the superconducting order parameter in $d_{x^{2} - y^{2}}$ -wave superconductors around defects and in the Fulde-Ferrell-Larkin-Ovchinnikov state. Furthermore, we show that $I_{c}$ probes the existence of phase-incoherent superconducting correlations in the pseudogap region of the cuprate superconductors, thus providing unprecedented insight into its elusive nature. These findings offer the missing theoretical link between the experimentally measured $I_{c}$ and the spatial structure of the superconducting order parameter.

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Research Organization:: Univ. of Illinois, Chicago, IL (United States)

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

Grant/Contract Number:: FG02-05ER46225

OSTI ID:: 1593518

Alternate ID(s):: OSTI ID: 1530637

Journal Information:: Physical Review Letters, Vol. 123, Issue 1; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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References (61)

Theory of Scanning Tunneling Microscopy Probe of Impurity States in a D -Wave Superconductor Salkola, M. I.; Balatsky, A. V.; Scalapino, D. J. Physical Review Letters, Vol. 77, Issue 9 https://doi.org/10.1103/PhysRevLett.77.1841	journal	August 1996
Critical Josephson current in the dynamical Coulomb blockade regime Jäck, Berthold; Eltschka, Matthias; Assig, Maximilian Physical Review B, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevB.93.020504	journal	January 2016
Impurity-induced states in conventional and unconventional superconductors Balatsky, A. V.; Vekhter, I.; Zhu, Jian-Xin Reviews of Modern Physics, Vol. 78, Issue 2 https://doi.org/10.1103/RevModPhys.78.373	journal	May 2006
BCS–BEC crossover: From high temperature superconductors to ultracold superfluids Chen, Q.; Stajic, J.; Tan, S. Physics Reports, Vol. 412, Issue 1 https://doi.org/10.1016/j.physrep.2005.02.005	journal	June 2005
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
Spectral properties of quasiparticle excitations induced by magnetic moments in superconductors Salkola, M. I.; Balatsky, A. V.; Schrieffer, J. R. Physical Review B, Vol. 55, Issue 18 https://doi.org/10.1103/PhysRevB.55.12648	journal	May 1997
Interplay of magnetism and high-Tc superconductivity at individual Ni impurity atoms in Bi2Sr2CaCu2O8+δ Hudson, E. W.; Lang, K. M.; Madhavan, V. Nature, Vol. 411, Issue 6840 https://doi.org/10.1038/35082019	journal	June 2001
Impurity-induced virtual bound states in d -wave superconductors Balatsky, A. V.; Salkola, M. I.; Rosengren, A. Physical Review B, Vol. 51, Issue 21 https://doi.org/10.1103/PhysRevB.51.15547	journal	June 1995
Electronic structure of the cuprate superconducting and pseudogap phases from spectroscopic imaging STM Schmidt, A. R.; Fujita, K.; Kim, E-A New Journal of Physics, Vol. 13, Issue 6 https://doi.org/10.1088/1367-2630/13/6/065014	journal	June 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
Scanning Josephson spectroscopy on the atomic scale Randeria, Mallika T.; Feldman, Benjamin E.; Drozdov, Ilya K. Physical Review B, Vol. 93, Issue 16 https://doi.org/10.1103/PhysRevB.93.161115	journal	April 2016
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
Pairing fluctuations in the pseudogap state of copper-oxide superconductors probed by the Josephson effect Bergeal, N.; Lesueur, J.; Aprili, M. Nature Physics, Vol. 4, Issue 8 https://doi.org/10.1038/nphys1017	journal	June 2008
Quantum field-theoretical methods in transport theory of metals Rammer, J.; Smith, H. Reviews of Modern Physics, Vol. 58, Issue 2 https://doi.org/10.1103/RevModPhys.58.323	journal	April 1986
Phase Transition in the Fulde–Ferrell–Larkin–Ovchinnikov States for the d-Wave Superconductor in the Two-Dimensional Orthorhombic Lattice Liu, S. L.; Zhou, Tao Journal of Superconductivity and Novel Magnetism, Vol. 25, Issue 4 https://doi.org/10.1007/s10948-011-1388-x	journal	December 2011
Imaging the effects of individual zinc impurity atoms on superconductivity in Bi2Sr2CaCu2O8+δ Pan, S. H.; Hudson, E. W.; Lang, K. M. Nature, Vol. 403, Issue 6771 https://doi.org/10.1038/35001534	journal	February 2000
Antiferromagnetic Order and π-Triplet Pairing in the Fulde–Ferrell–Larkin–Ovchinnikov State Yanase, Youichi; Sigrist, Manfred Journal of the Physical Society of Japan, Vol. 78, Issue 11 https://doi.org/10.1143/JPSJ.78.114715	journal	November 2009
Possible new effects in superconductive tunnelling Josephson, B. D. Physics Letters, Vol. 1, Issue 7 https://doi.org/10.1016/0031-9163(62)91369-0	journal	July 1962
Atomic-Scale Quasi-Particle Scattering Resonances in Bi2Sr2CaCu2O8+ Hudson, E. W. Science, Vol. 285, Issue 5424 https://doi.org/10.1126/science.285.5424.88	journal	July 1999
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
Possible Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in C e C o I n 5 Bianchi, A.; Movshovich, R.; Capan, C. Physical Review Letters, Vol. 91, Issue 18 https://doi.org/10.1103/PhysRevLett.91.187004	journal	October 2003
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
Local Electronic Structure of a Single Magnetic Impurity in a Superconductor Flatté, Michael E.; Byers, Jeff M. Physical Review Letters, Vol. 78, Issue 19 https://doi.org/10.1103/PhysRevLett.78.3761	journal	May 1997
Local electronic structure of defects in superconductors Flatté, Michael E.; Byers, Jeff M. Physical Review B, Vol. 56, Issue 17 https://doi.org/10.1103/PhysRevB.56.11213	journal	November 1997
Hamiltonian approach to the transport properties of superconducting quantum point contacts Cuevas, J. C.; Martín-Rodero, A.; Yeyati, A. Levy Physical Review B, Vol. 54, Issue 10 https://doi.org/10.1103/PhysRevB.54.7366	journal	September 1996
Tunneling Between Superconductors Ambegaokar, Vinay; Baratoff, Alexis Physical Review Letters, Vol. 10, Issue 11 https://doi.org/10.1103/PhysRevLett.10.486	journal	June 1963
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
Spherical Impurity in an Infinite Superconductor Fetter, Alexander L. Physical Review, Vol. 140, Issue 6A https://doi.org/10.1103/PhysRev.140.A1921	journal	December 1965
Josephson scanning tunneling microscopy: A local and direct probe of the superconducting order parameter Kimura, Hikari; Barber, R. P.; Ono, S. Physical Review B, Vol. 80, Issue 14 https://doi.org/10.1103/PhysRevB.80.144506	journal	October 2009
Josephson scanning tunneling microscopy Šmakov, Jurij; Martin, Ivar; Balatsky, Alexander V. Physical Review B, Vol. 64, Issue 21 https://doi.org/10.1103/PhysRevB.64.212506	journal	November 2001
Fluctuation Dominated Josephson Tunneling with a Scanning Tunneling Microscope Naaman, O.; Teizer, W.; Dynes, R. C. Physical Review Letters, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevLett.87.097004	journal	August 2001
Direct evidence for a magnetic f-electron-mediated pairing mechanism of heavy-fermion superconductivity in CeCoIn5 Van Dyke, J. S.; Massee, F.; Allan, M. P. Proceedings of the National Academy of Sciences, Vol. 111, Issue 32 https://doi.org/10.1073/pnas.1409444111	journal	July 2014
Imaging the spatial form of a superconducting order parameter via Josephson scanning tunneling spectroscopy Graham, Martin; Morr, Dirk K. Physical Review B, Vol. 96, Issue 18 https://doi.org/10.1103/PhysRevB.96.184501	journal	November 2017
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
Inherent inhomogeneities in tunneling spectra of Bi 2 Sr 2 CaCu 2 O 8 − x crystals in the superconducting state Howald, C.; Fournier, P.; Kapitulnik, A. Physical Review B, Vol. 64, Issue 10 https://doi.org/10.1103/PhysRevB.64.100504	journal	August 2001
Fulde–Ferrell–Larkin–Ovchinnikov State in Heavy Fermion Superconductors Matsuda, Yuji; Shimahara, Hiroshi Journal of the Physical Society of Japan, Vol. 76, Issue 5 https://doi.org/10.1143/JPSJ.76.051005	journal	May 2007
Superconducting correlations above T c in the pseudogap state of Bi 2 Sr 2 CaCu 2 O 8 + δ cuprates revealed by angular-dependent magnetotunneling Jacobs, Th.; Katterwe, S. O.; Krasnov, V. M. Physical Review B, Vol. 94, Issue 22 https://doi.org/10.1103/PhysRevB.94.220501	journal	December 2016
Pair Density Wave in the Pseudogap State of High Temperature Superconductors Chen, Han-Dong; Vafek, Oskar; Yazdani, Ali Physical Review Letters, Vol. 93, Issue 18 https://doi.org/10.1103/PhysRevLett.93.187002	journal	October 2004
Imaging Cooper pairing of heavy fermions in CeCoIn5 Allan, M. P.; Massee, F.; Morr, D. K. Nature Physics, Vol. 9, Issue 8 https://doi.org/10.1038/nphys2671	journal	July 2013
On the use of STM superconducting tips at very low temperatures Rodrigo, J. G.; Suderow, H.; Vieira, S. The European Physical Journal B, Vol. 40, Issue 4 https://doi.org/10.1140/epjb/e2004-00273-y	journal	August 2004
Magnetic enhancement of superconductivity from electron spin domains Radovan, H. A.; Fortune, N. A.; Murphy, T. P. Nature, Vol. 425, Issue 6953 https://doi.org/10.1038/nature01842	journal	September 2003
Imaging superconducting vortex cores and lattices with a scanning tunneling microscope Suderow, H.; Guillamón, I.; Rodrigo, J. G. Superconductor Science and Technology, Vol. 27, Issue 6 https://doi.org/10.1088/0953-2048/27/6/063001	journal	May 2014
Phase fluctuations and spectral properties of underdoped cuprates Franz, M.; Millis, A. J. Physical Review B, Vol. 58, Issue 21 https://doi.org/10.1103/PhysRevB.58.14572	journal	December 1998
Importance of phase fluctuations in superconductors with small superfluid density Emery, V. J.; Kivelson, S. A. Nature, Vol. 374, Issue 6521 https://doi.org/10.1038/374434a0	journal	March 1995
Model for the temperature dependence of the quasiparticle interference pattern in the measured scanning tunneling spectra of underdoped cuprate superconductors Wulin, Dan; He, Yan; Chien, Chih-Chun Physical Review B, Vol. 80, Issue 13 https://doi.org/10.1103/PhysRevB.80.134504	journal	October 2009
Phase diagram and spectroscopy of Fulde-Ferrell-Larkin-Ovchinnikov states of two-dimensional d -wave superconductors Vorontsov, A. B.; Sauls, J. A.; Graf, M. J. Physical Review B, Vol. 72, Issue 18 https://doi.org/10.1103/PhysRevB.72.184501	journal	November 2005
Fluctuation Dominated Josephson Tunneling with a Scanning Tunneling Microscope Dynes, R. C.; Naaman, O.; Teizer, W. The American Physical Society https://doi.org/10.17877/de290r-3814	text	January 2001
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
Josephson scanning tunneling microscopy: A local and direct probe of the superconducting order parameter Kimura, Hikari; Barber, R. P.; Ono, S. arXiv https://doi.org/10.48550/arxiv.0909.3112	text	January 2009
Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM Schmidt, A. R.; Fujita, K.; Kim, E. -A arXiv https://doi.org/10.48550/arxiv.1102.1806	text	January 2011
Amperean pairing and the pseudogap phase of cuprate superconductors Lee, Patrick A. arXiv https://doi.org/10.48550/arxiv.1401.0519	text	January 2014
Detection of a Cooper-Pair Density Wave in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$ Hamidian, M. H.; Edkins, S. D.; Joo, Sang Hyun arXiv https://doi.org/10.48550/arxiv.1511.08124	text	January 2015
Fluctuation Dominated Josephson Tunneling with a Scanning Tunneling Microscope Naaman, O.; Teizer, W.; Dynes, R. C. arXiv https://doi.org/10.48550/arxiv.cond-mat/0103229	text	January 2001
Impurity-induced states in conventional and unconventional superconductors Balatsky, A. V.; Vekhter, I.; Zhu, Jian-Xin arXiv https://doi.org/10.48550/arxiv.cond-mat/0411318	preprint	January 2004
Impurity-Induced Virtual Bound States in d-Wave Superconductors Balatsky, A. V.; Salkola, M. I.; Rosengren, A. arXiv https://doi.org/10.48550/arxiv.cond-mat/9407102	text	January 1994
Theory of Scanning Tunneling Microscopy Probe of Impurity States in a D-Wave Superconductor Salkola, M. I.; Balatsky, A. V.; Scalapino, D. J. arXiv https://doi.org/10.48550/arxiv.cond-mat/9602132	text	January 1996
Hamiltonian approach to the transport properties of superconducting quantum point contacts Cuevas, J. C.; Martin-Rodero, A.; Yeyati, A. Levy arXiv https://doi.org/10.48550/arxiv.cond-mat/9605023	text	January 1996
Local Electronic Structure of a Single Magnetic Impurity in a Superconductor Flatte', Michael E.; Byers, Jeff M. arXiv https://doi.org/10.48550/arxiv.cond-mat/9607092	text	January 1996
Spectral Properties of Quasiparticle Excitations Induced by Magnetic Moments in Superconductors Salkola, M. I.; Balatsky, A. V.; Schrieffer, J. R. arXiv https://doi.org/10.48550/arxiv.cond-mat/9610198	text	January 1996
Local Electronic Structure of Defects in Superconductors Flatte, Michael E.; Byers, Jeff M. arXiv https://doi.org/10.48550/arxiv.cond-mat/9612213	text	January 1996
Phase Fluctuations and Spectral Properties of Underdoped Cuprates Franz, M.; Millis, A. J. arXiv https://doi.org/10.48550/arxiv.cond-mat/9805401	text	January 1998

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