Directly visualizing the sign change of d-wave superconducting gap in Bi2Sr2CaCu2O8+δ by phase-referenced quasiparticle interference

Gu, Qiangqiang; Wan, Siyuan; Tang, Qingkun; Du, Zengyi; Yang, Huan; Wang, Qiang -Hua; Zhong, Ruidan; Wen, Jinsheng; Gu, Genda D.; Wen, Hai -Hu

doi:10.1038/s41467-019-09340-5

Directly visualizing the sign change of d-wave superconducting gap in Bi₂Sr₂CaCu₂O_8+δ by phase-referenced quasiparticle interference

Journal Article · Mon Apr 08 00:00:00 EDT 2019 · Nature Communications

DOI:https://doi.org/10.1038/s41467-019-09340-5· OSTI ID:1508525

Gu, Qiangqiang ^[1]; Wan, Siyuan ^[1]; Tang, Qingkun ^[1]; Du, Zengyi ^[1]; ^[1]; Wang, Qiang -Hua ^[1]; Zhong, Ruidan ^[2]; ^[2]; ^[2]; Wen, Hai -Hu ^[1]

Nanjing Univ., Nanjing (China)
Brookhaven National Lab. (BNL), Upton, NY (United States)

The superconducting state is formed by the condensation of Cooper pairs and protected by the superconducting gap. The pairing interaction between the two electrons of a Cooper pair determines the gap function. Thus, it is pivotal to detect the gap structure for understanding the mechanism of superconductivity. In cuprate superconductors, it has been well established that the gap may have a d-wave function. This gap function has an alternative sign change in the momentum space. It is however hard to visualize this sign change. Here we report the measurements of scanning tunneling spectroscopy in Bi₂Sr₂CaCu₂O_8+δ and conduct the analysis of phase-referenced quasiparticle interference (QPI). We see the seven basic scattering vectors that connect the octet ends of the banana-shaped contour of Fermi surface. The phase-referenced QPI clearly visualizes the sign change of the d-wave gap. Lastly, our results illustrate an effective way for determining the sign change of unconventional superconductors.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Energy Frontier Research Centers (EFRC) (United States). Center for Emergent Superconductivity (CES)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0012704

OSTI ID:: 1508525

Report Number(s):: BNL--211575-2019-JAAM

Journal Information:: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 10; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (61)

Neutron scattering from magnetic excitations in Bi2Sr2CaCu2O8+δ Fong, H. F.; Bourges, P.; Sidis, Y. Nature, Vol. 398, Issue 6728 https://doi.org/10.1038/19255	journal	April 1999
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
Symmetry of the order parameter in the high-Tc superconductor YBa2Cu3O7- δ Kirtley, J. R.; Tsuei, C. C.; Sun, J. Z. Nature, Vol. 373, Issue 6511 https://doi.org/10.1038/373225a0	journal	January 1995
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
Anisotropic softening of magnetic excitations along the nodal direction in superconducting cuprates Guarise, M.; Piazza, B. Dalla; Berger, H. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms6760	journal	December 2014
Remarkable effects of disorder on superconductivity of single atomic layers of lead on silicon Brun, C.; Cren, T.; Cherkez, V. Nature Physics, Vol. 10, Issue 6 https://doi.org/10.1038/nphys2937	journal	April 2014
Model for nodal quasiparticle scattering in a disordered vortex lattice Maltseva, Marianna; Coleman, P. Physical Review B, Vol. 80, Issue 14 https://doi.org/10.1103/physrevb.80.144514	journal	October 2009
Interpretation of Scanning Tunneling Quasiparticle Interference and Impurity States in Cuprates Kreisel, A.; Choubey, Peayush; Berlijn, T. Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/physrevlett.114.217002	journal	May 2015
Direct Measurement of Quasiparticle-Lifetime Broadening in a Strong-Coupled Superconductor Dynes, R. C.; Narayanamurti, V.; Garno, J. P. Physical Review Letters, Vol. 41, Issue 21 https://doi.org/10.1103/physrevlett.41.1509	journal	November 1978
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
Extending Universal Nodal Excitations Optimizes Superconductivity in Bi2Sr2CaCu2O8+ Pushp, A.; Parker, C. V.; Pasupathy, A. N. Science, Vol. 324, Issue 5935 https://doi.org/10.1126/science.1174338	journal	June 2009
Pairing Symmetry in Single-Layer Tetragonal Tl2Ba2CuO[IMAGE] Superconductors Tsuei, C. C.; Kirtley, J. R.; Rupp, M. Science, Vol. 271, Issue 5247 https://doi.org/10.1126/science.271.5247.329	journal	January 1996
How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d Kohsaka, Y.; Taylor, C.; Wahl, P. arXiv https://doi.org/10.48550/arxiv.0808.3816	text	January 2008
Long range coherent magnetic bound states in superconductors Ménard, Gerbold C.; Guissart, Sébastien; Brun, Christophe arXiv https://doi.org/10.48550/arxiv.1506.06666	text	January 2015
Robust determination of superconducting gap sign changes via quasiparticle interference Hirschfeld, P. J.; Altenfeld, D.; Eremin, I. arXiv https://doi.org/10.48550/arxiv.1507.08317	text	January 2015
Discovery of Orbital-Selective Cooper Pairing in FeSe Sprau, Peter O.; Kostin, Andrey; Kreisel, Andreas arXiv https://doi.org/10.48550/arxiv.1611.02134	text	January 2016
Experimental Demonstration of the Sign Reversal of the Order Parameter in (Li1-xFex)OHFe1-yZnySe Du, Zengyi; Yang, Xiong; Altenfeld, Dustin arXiv https://doi.org/10.48550/arxiv.1704.06141	text	January 2017
Theory of the quasiparticle interference patterns in the pseudogap phase of the cuprate superconductors Pereg-Barnea, T.; Franz, M. arXiv https://doi.org/10.48550/arxiv.cond-mat/0306712	text	January 2003
Large single crystal Bi-2212 along the c-axis prepared by floating zone method Gu, G. D.; Takamuku, K.; Koshizuka, N. Journal of Crystal Growth, Vol. 130, Issue 1-2 https://doi.org/10.1016/0022-0248(93)90872-T	journal	May 1993
Relating atomic-scale electronic phenomena to wave-like quasiparticle states in superconducting Bi2Sr2CaCu2O8+δ McElroy, K.; Simmonds, R. W.; Hoffman, J. E. Nature, Vol. 422, Issue 6932 https://doi.org/10.1038/nature01496	journal	April 2003
How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+δ Kohsaka, Y.; Taylor, C.; Wahl, P. Nature, Vol. 454, Issue 7208 https://doi.org/10.1038/nature07243	journal	August 2008
Coherent long-range magnetic bound states in a superconductor Ménard, Gerbold C.; Guissart, Sébastien; Brun, Christophe Nature Physics, Vol. 11, Issue 12 https://doi.org/10.1038/nphys3508	journal	October 2015
Sign reversal of the order parameter in (Li1−xFex)OHFe1−yZnySe Du, Zengyi; Yang, Xiong; Altenfeld, Dustin Nature Physics, Vol. 14, Issue 2 https://doi.org/10.1038/nphys4299	journal	October 2017
Magnetic susceptibility in the normal state: A tool to optimize T c within a given superconducting oxide system Allgeier, C.; Schilling, J. S. Physical Review B, Vol. 48, Issue 13 https://doi.org/10.1103/PhysRevB.48.9747	journal	October 1993
Vacuum tunneling spectroscopy and asymmetric density of states of Bi 2 Sr 2 CaCu 2 O 8 + δ Renner, Ch.; Fischer, O/. Physical Review B, Vol. 51, Issue 14 https://doi.org/10.1103/PhysRevB.51.9208	journal	April 1995
Specific heat of YBa 2 Cu 3 O 7 − δ Moler, Kathryn A.; Sisson, David L.; Urbach, Jeffrey S. Physical Review B, Vol. 55, Issue 6 https://doi.org/10.1103/PhysRevB.55.3954	journal	February 1997
Quasiparticle scattering interference in high-temperature superconductors Wang, Qiang-Hua; Lee, Dung-Hai Physical Review B, Vol. 67, Issue 2 https://doi.org/10.1103/PhysRevB.67.020511	journal	January 2003
Energy-dependent modulations in the local density of states of the cuprate superconductors Zhang, Degang; Ting, C. S. Physical Review B, Vol. 67, Issue 10 https://doi.org/10.1103/PhysRevB.67.100506	journal	March 2003
Thermal conductivity across the phase diagram of cuprates: Low-energy quasiparticles and doping dependence of the superconducting gap Sutherland, Mike; Hawthorn, D. G.; Hill, R. W. Physical Review B, Vol. 67, Issue 17 https://doi.org/10.1103/PhysRevB.67.174520	journal	May 2003
Wave-vector power spectrum of the local tunneling density of states: Ripples in a d -wave sea Capriotti, L.; Scalapino, D. J.; Sedgewick, R. D. Physical Review B, Vol. 68, Issue 1 https://doi.org/10.1103/PhysRevB.68.014508	journal	July 2003
Theory of quasiparticle interference patterns in the pseudogap phase of the cuprate superconductors Pereg-Barnea, T.; Franz, M. Physical Review B, Vol. 68, Issue 18 https://doi.org/10.1103/PhysRevB.68.180506	journal	November 2003
Power spectrum of many impurities in a d -wave superconductor Zhu, Lingyin; Atkinson, W. A.; Hirschfeld, P. J. Physical Review B, Vol. 69, Issue 6 https://doi.org/10.1103/PhysRevB.69.060503	journal	February 2004
Electronic specific heat and low-energy quasiparticle excitations in the superconducting state of La 2 − x Sr x Cu O 4 single crystals Wen, Hai-Hu; Liu, Zhi-Yong; Zhou, Fang Physical Review B, Vol. 70, Issue 21 https://doi.org/10.1103/PhysRevB.70.214505	journal	December 2004
Fourier transform spectroscopy of d -wave quasiparticles in the presence of atomic scale pairing disorder Nunner, Tamara S.; Chen, Wei; Andersen, Brian M. Physical Review B, Vol. 73, Issue 10 https://doi.org/10.1103/PhysRevB.73.104511	journal	March 2006
Phenomenological theory of the pseudogap state Yang, Kai-Yu; Rice, T. M.; Zhang, Fu-Chun Physical Review B, Vol. 73, Issue 17 https://doi.org/10.1103/PhysRevB.73.174501	journal	May 2006
Impurity resonance states in electron-doped high- T c superconductors Wan, Yuan; Lü, Hai-Dong; Lu, Hong-Yan Physical Review B, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevB.77.064515	journal	February 2008
Model for nodal quasiparticle scattering in a disordered vortex lattice Maltseva, Marianna; Coleman, P. Physical Review B, Vol. 80, Issue 14 https://doi.org/10.1103/PhysRevB.80.144514	journal	October 2009
Energy scale directly related to superconductivity in high- T c cuprates: Universality from the temperature-dependent angle-resolved photoemission of Bi 2 Sr 2 Ca 2 Cu 3 O 10 + δ Ideta, Shin-ichiro; Yoshida, Teppei; Fujimori, Atsushi Physical Review B, Vol. 85, Issue 10 https://doi.org/10.1103/PhysRevB.85.104515	journal	March 2012
Robust determination of the superconducting gap sign structure via quasiparticle interference Hirschfeld, P. J.; Altenfeld, D.; Eremin, I. Physical Review B, Vol. 92, Issue 18 https://doi.org/10.1103/PhysRevB.92.184513	journal	November 2015
Robustness of a quasiparticle interference test for sign-changing gaps in multiband superconductors Martiny, Johannes H. J.; Kreisel, Andreas; Hirschfeld, P. J. Physical Review B, Vol. 95, Issue 18 https://doi.org/10.1103/PhysRevB.95.184507	journal	May 2017
Sign-reversal superconducting gaps revealed by phase-referenced quasiparticle interference of impurity-induced bound states in ( Li 1 − x Fe x ) OHFe 1 − y Zn y Se Gu, Qiangqiang; Tang, Qingkun; Wan, Siyuan Physical Review B, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevB.98.134503	journal	October 2018
Interpretation of Scanning Tunneling Quasiparticle Interference and Impurity States in Cuprates Kreisel, A.; Choubey, Peayush; Berlijn, T. Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/PhysRevLett.114.217002	journal	May 2015
Direct Measurement of Quasiparticle-Lifetime Broadening in a Strong-Coupled Superconductor Dynes, R. C.; Narayanamurti, V.; Garno, J. P. Physical Review Letters, Vol. 41, Issue 21 https://doi.org/10.1103/PhysRevLett.41.1509	journal	November 1978
Anomalously large gap anisotropy in the a - b plane of Bi 2 Sr 2 CaCu 2 O 8 + δ Shen, Z. -X.; Dessau, D. S.; Wells, B. O. Physical Review Letters, Vol. 70, Issue 10 https://doi.org/10.1103/PhysRevLett.70.1553	journal	March 1993
Incommensurate Magnetic Fluctuations in YBa 2 Cu 3 O 6.6 Dai, Pengcheng; Mook, H. A.; Doǧan, F. Physical Review Letters, Vol. 80, Issue 8 https://doi.org/10.1103/PhysRevLett.80.1738	journal	February 1998
Coincidence of Checkerboard Charge Order and Antinodal State Decoherence in Strongly Underdoped Superconducting Bi 2 Sr 2 Ca Cu 2 O 8 + δ McElroy, K.; Lee, D. -H.; Hoffman, J. E. Physical Review Letters, Vol. 94, Issue 19 https://doi.org/10.1103/PhysRevLett.94.197005	journal	May 2005
Pairing symmetry in cuprate superconductors Tsuei, C. C.; Kirtley, J. R. Reviews of Modern Physics, Vol. 72, Issue 4, p. 969-1016 https://doi.org/10.1103/RevModPhys.72.969	journal	October 2000
Colloquium: Theory of quantum corrals and quantum mirages Fiete, Gregory A.; Heller, Eric J. Reviews of Modern Physics, Vol. 75, Issue 3, p. 933-948 https://doi.org/10.1103/RevModPhys.75.933	journal	July 2003
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
Imaging Quasiparticle Interference in Bi₂Sr₂CaCu₂O_8+δ Hoffman, J. E.; McElroy, K.; Lee, D.-H. Science, Vol. 297, Issue 5584, p. 1148-1151 https://doi.org/10.1126/science.1072640	journal	July 2002
Coherence Factors in a High-Tc Cuprate Probed by Quasi-Particle Scattering Off Vortices Hanaguri, T.; Kohsaka, Y.; Ono, M. Science, Vol. 323, Issue 5916 https://doi.org/10.1126/science.1166138	journal	February 2009
Discovery of orbital-selective Cooper pairing in FeSe Sprau, P. O.; Kostin, A.; Kreisel, A. Science, Vol. 357, Issue 6346 https://doi.org/10.1126/science.aal1575	journal	July 2017
Nodes of the superconducting gap probed by electronic Raman scattering in HgBa ₂ CaCu ₂ O _{6 + δ} single crystals Sacuto, A.; Combescot, R.; Bontemps, N. Europhysics Letters (EPL), Vol. 39, Issue 2 https://doi.org/10.1209/epl/i1997-00336-3	journal	July 1997
Model for nodal quasiparticle scattering in a disordered vortex lattice Maltseva, Marianna; Coleman, P. arXiv https://doi.org/10.48550/arxiv.0903.2752	text	January 2009
Remarkable effects of disorder on superconductivity of single atomic layers of lead on silicon Brun, C.; Cren, T.; Cherkez, V. arXiv https://doi.org/10.48550/arxiv.1401.7876	text	January 2014
Quasiparticle Scattering Interference in High Temperature Superconductors Wang, Qiang-Hua; Lee, Dung-Hai arXiv https://doi.org/10.48550/arxiv.cond-mat/0205118	text	January 2002
Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d Hoffman, J. E.; McElroy, K.; Lee, D. -H. arXiv https://doi.org/10.48550/arxiv.cond-mat/0209276	text	January 2002
Thermal Conductivity across the Phase Diagram of Cuprates: Low-Energy Quasiparticles and Doping Dependence of the Superconducting Gap Sutherland, Mike; Hawthorn, D. G.; Hill, R. W. arXiv https://doi.org/10.48550/arxiv.cond-mat/0301105	text	January 2003
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
Fourier transform spectroscopy of d-wave quasiparticles in the presence of atomic scale pairing disorder Nunner, Tamara S.; Chen, Wei; Andersen, Brian M. arXiv https://doi.org/10.48550/arxiv.cond-mat/0509139	text	January 2005
Neutron Scattering from Magnetic Excitations in Bi_2 Sr_2 Ca_2 O_8+delta Fong, H. F.; Bourges, P.; Sidis, Y. arXiv https://doi.org/10.48550/arxiv.cond-mat/9902262	text	January 1999

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