Atomic-scale electronic structure of the cuprate pair density wave state coexisting with superconductivity
The defining characteristic of hole-doped cuprates is d-wave high temperature superconductivity. However, intense theoretical interest is now focused on whether a pair density wave state (PDW) could coexist with cuprate superconductivity [D. F. Agterberg et al., Annu. Rev. Condens. Matter Phys. 11,...
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creator | Choubey, Peayush Joo, Sang Hyun Fujita, K. Du, Zengyi Edkins, S. D. Hamidian, M. H. Eisaki, H. Uchida, S. Mackenzie, A. P. Lee, Jinho Davis, J. C. Séamus Hirschfeld, P. J. |
description | The defining characteristic of hole-doped cuprates is d-wave high temperature superconductivity. However, intense theoretical interest is now focused on whether a pair density wave state (PDW) could coexist with cuprate superconductivity [D. F. Agterberg et al., Annu. Rev. Condens. Matter Phys. 11, 231 (2020)]. Here, we use a strong-coupling mean-field theory of cuprates, to model the atomic-scale electronic structure of an eight-unit-cell periodic, d-symmetry form factor, pair density wave (PDW) state coexisting with d-wave superconductivity (DSC). From this PDW + DSC model, the atomically resolved density of Bogoliubov quasiparticle states N(r, E) is predicted at the terminal BiO surface of Bi₂Sr₂CaCu₂O₈ and compared with high-precision electronic visualization experiments using spectroscopic imaging scanning tunneling microscopy (STM). The PDW + DSC model predictions include the intraunit-cell structure and periodic modulations of N(r, E), the modulations of the coherence peak energy Δ
p
(r), and the characteristics of Bogoliubov quasiparticle interference in scattering-wavevector space (q – space). Consistency between all these predictions and the corresponding experiments indicates that lightly hole-doped Bi₂Sr₂CaCu₂O₈ does contain a PDW + DSC state. Moreover, in the model the PDW + DSC state becomes unstable to a pure DSC state at a critical hole density p*, with empirically equivalent phenomena occurring in the experiments. All these results are consistent with a picture in which the cuprate translational symmetry-breaking state is a PDW, the observed charge modulations are its consequence, the antinodal pseudogap is that of the PDW state, and the cuprate critical point at p* ≈ 19% occurs due to disappearance of this PDW. |
doi_str_mv | 10.1073/pnas.2002429117 |
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p
(r), and the characteristics of Bogoliubov quasiparticle interference in scattering-wavevector space (q – space). Consistency between all these predictions and the corresponding experiments indicates that lightly hole-doped Bi₂Sr₂CaCu₂O₈ does contain a PDW + DSC state. Moreover, in the model the PDW + DSC state becomes unstable to a pure DSC state at a critical hole density p*, with empirically equivalent phenomena occurring in the experiments. All these results are consistent with a picture in which the cuprate translational symmetry-breaking state is a PDW, the observed charge modulations are its consequence, the antinodal pseudogap is that of the PDW state, and the cuprate critical point at p* ≈ 19% occurs due to disappearance of this PDW.</description><identifier>ISSN: 0027-8424</identifier><identifier>EISSN: 1091-6490</identifier><identifier>DOI: 10.1073/pnas.2002429117</identifier><identifier>PMID: 32546526</identifier><language>eng</language><publisher>Washington: National Academy of Sciences</publisher><subject>Atomic structure ; Broken symmetry ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; Critical point ; cuprate pseudogap ; Cuprates ; Cytology ; Density ; Electronic structure ; Experiments ; Form factors ; High temperature ; Hole density ; Mean field theory ; pair density wave state ; Physical Sciences ; quasiparticle interference ; Scanning tunneling microscopy ; Superconductivity ; Unit cell</subject><ispartof>Proceedings of the National Academy of Sciences - PNAS, 2020-06, Vol.117 (26), p.14805-14811</ispartof><rights>Copyright National Academy of Sciences Jun 30, 2020</rights><rights>Copyright © 2020 the Author(s). Published by PNAS. 2020</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c447t-1b3dd4ef6fb8f55e8c5d1cd511cbf86aca04e898d718014ae78957f33b1006d73</citedby><cites>FETCH-LOGICAL-c447t-1b3dd4ef6fb8f55e8c5d1cd511cbf86aca04e898d718014ae78957f33b1006d73</cites><orcidid>0000-0002-2363-7712 ; 0000-0002-1610-1506 ; 0000000223637712 ; 0000000216101506</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/26935026$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/26935026$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>230,314,727,780,784,803,885,27924,27925,53791,53793,58017,58250</link.rule.ids><backlink>$$Uhttps://www.osti.gov/servlets/purl/1647003$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Choubey, Peayush</creatorcontrib><creatorcontrib>Joo, Sang Hyun</creatorcontrib><creatorcontrib>Fujita, K.</creatorcontrib><creatorcontrib>Du, Zengyi</creatorcontrib><creatorcontrib>Edkins, S. D.</creatorcontrib><creatorcontrib>Hamidian, M. H.</creatorcontrib><creatorcontrib>Eisaki, H.</creatorcontrib><creatorcontrib>Uchida, S.</creatorcontrib><creatorcontrib>Mackenzie, A. P.</creatorcontrib><creatorcontrib>Lee, Jinho</creatorcontrib><creatorcontrib>Davis, J. C. Séamus</creatorcontrib><creatorcontrib>Hirschfeld, P. J.</creatorcontrib><creatorcontrib>Brookhaven National Laboratory (BNL), Upton, NY (United States)</creatorcontrib><title>Atomic-scale electronic structure of the cuprate pair density wave state coexisting with superconductivity</title><title>Proceedings of the National Academy of Sciences - PNAS</title><description>The defining characteristic of hole-doped cuprates is d-wave high temperature superconductivity. However, intense theoretical interest is now focused on whether a pair density wave state (PDW) could coexist with cuprate superconductivity [D. F. Agterberg et al., Annu. Rev. Condens. Matter Phys. 11, 231 (2020)]. Here, we use a strong-coupling mean-field theory of cuprates, to model the atomic-scale electronic structure of an eight-unit-cell periodic, d-symmetry form factor, pair density wave (PDW) state coexisting with d-wave superconductivity (DSC). From this PDW + DSC model, the atomically resolved density of Bogoliubov quasiparticle states N(r, E) is predicted at the terminal BiO surface of Bi₂Sr₂CaCu₂O₈ and compared with high-precision electronic visualization experiments using spectroscopic imaging scanning tunneling microscopy (STM). The PDW + DSC model predictions include the intraunit-cell structure and periodic modulations of N(r, E), the modulations of the coherence peak energy Δ
p
(r), and the characteristics of Bogoliubov quasiparticle interference in scattering-wavevector space (q – space). Consistency between all these predictions and the corresponding experiments indicates that lightly hole-doped Bi₂Sr₂CaCu₂O₈ does contain a PDW + DSC state. Moreover, in the model the PDW + DSC state becomes unstable to a pure DSC state at a critical hole density p*, with empirically equivalent phenomena occurring in the experiments. All these results are consistent with a picture in which the cuprate translational symmetry-breaking state is a PDW, the observed charge modulations are its consequence, the antinodal pseudogap is that of the PDW state, and the cuprate critical point at p* ≈ 19% occurs due to disappearance of this PDW.</description><subject>Atomic structure</subject><subject>Broken symmetry</subject><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</subject><subject>Critical point</subject><subject>cuprate pseudogap</subject><subject>Cuprates</subject><subject>Cytology</subject><subject>Density</subject><subject>Electronic structure</subject><subject>Experiments</subject><subject>Form factors</subject><subject>High temperature</subject><subject>Hole density</subject><subject>Mean field theory</subject><subject>pair density wave state</subject><subject>Physical Sciences</subject><subject>quasiparticle interference</subject><subject>Scanning tunneling microscopy</subject><subject>Superconductivity</subject><subject>Unit cell</subject><issn>0027-8424</issn><issn>1091-6490</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNpdkc1v1DAQxS0EokvhzAnJgguXtOPv5IJUVXxJlbjA2fI6k65X2TjYzrb973G0VRGcLI1_82bePELeMrhgYMTlPLl8wQG45B1j5hnZMOhYo2UHz8mm1k3TSi7PyKuc9wDQqRZekjPBldSK6w3ZX5V4CL7J3o1IcURfUpyCp7mkxZclIY0DLTukfpmTK0hnFxLtccqhPNA7d8SKrnUf8T7kEqZbehfKjuZlxuTj1FeZcKzwa_JicGPGN4_vOfn15fPP62_NzY-v36-vbhovpSkN24q-lzjoYdsOSmHrVc98rxjz26HVzjuQ2HZtb1gLTDo0bafMIMSWAejeiHPy6aQ7L9sD9h6nktxo5xQOLj3Y6IL992cKO3sbj9YIIWUnqsD7k0Csdmz2oaDfVSdTPY5lWhqAFfr4OCXF3wvmYg8hexxHN2FcsuWSSQkd1-tCH_5D93FJU71BpTiw1Yiq1OWJ8inmnHB42piBXcO2a9j2b9i1492pY59LTE84151QwLX4A4BcqDI</recordid><startdate>20200630</startdate><enddate>20200630</enddate><creator>Choubey, Peayush</creator><creator>Joo, Sang Hyun</creator><creator>Fujita, K.</creator><creator>Du, Zengyi</creator><creator>Edkins, S. 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H. ; Eisaki, H. ; Uchida, S. ; Mackenzie, A. P. ; Lee, Jinho ; Davis, J. C. Séamus ; Hirschfeld, P. 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D.</au><au>Hamidian, M. H.</au><au>Eisaki, H.</au><au>Uchida, S.</au><au>Mackenzie, A. P.</au><au>Lee, Jinho</au><au>Davis, J. C. Séamus</au><au>Hirschfeld, P. J.</au><aucorp>Brookhaven National Laboratory (BNL), Upton, NY (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Atomic-scale electronic structure of the cuprate pair density wave state coexisting with superconductivity</atitle><jtitle>Proceedings of the National Academy of Sciences - PNAS</jtitle><date>2020-06-30</date><risdate>2020</risdate><volume>117</volume><issue>26</issue><spage>14805</spage><epage>14811</epage><pages>14805-14811</pages><issn>0027-8424</issn><eissn>1091-6490</eissn><abstract>The defining characteristic of hole-doped cuprates is d-wave high temperature superconductivity. However, intense theoretical interest is now focused on whether a pair density wave state (PDW) could coexist with cuprate superconductivity [D. F. Agterberg et al., Annu. Rev. Condens. Matter Phys. 11, 231 (2020)]. Here, we use a strong-coupling mean-field theory of cuprates, to model the atomic-scale electronic structure of an eight-unit-cell periodic, d-symmetry form factor, pair density wave (PDW) state coexisting with d-wave superconductivity (DSC). From this PDW + DSC model, the atomically resolved density of Bogoliubov quasiparticle states N(r, E) is predicted at the terminal BiO surface of Bi₂Sr₂CaCu₂O₈ and compared with high-precision electronic visualization experiments using spectroscopic imaging scanning tunneling microscopy (STM). The PDW + DSC model predictions include the intraunit-cell structure and periodic modulations of N(r, E), the modulations of the coherence peak energy Δ
p
(r), and the characteristics of Bogoliubov quasiparticle interference in scattering-wavevector space (q – space). Consistency between all these predictions and the corresponding experiments indicates that lightly hole-doped Bi₂Sr₂CaCu₂O₈ does contain a PDW + DSC state. Moreover, in the model the PDW + DSC state becomes unstable to a pure DSC state at a critical hole density p*, with empirically equivalent phenomena occurring in the experiments. All these results are consistent with a picture in which the cuprate translational symmetry-breaking state is a PDW, the observed charge modulations are its consequence, the antinodal pseudogap is that of the PDW state, and the cuprate critical point at p* ≈ 19% occurs due to disappearance of this PDW.</abstract><cop>Washington</cop><pub>National Academy of Sciences</pub><pmid>32546526</pmid><doi>10.1073/pnas.2002429117</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0002-2363-7712</orcidid><orcidid>https://orcid.org/0000-0002-1610-1506</orcidid><orcidid>https://orcid.org/0000000223637712</orcidid><orcidid>https://orcid.org/0000000216101506</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Atomic structure Broken symmetry CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY Critical point cuprate pseudogap Cuprates Cytology Density Electronic structure Experiments Form factors High temperature Hole density Mean field theory pair density wave state Physical Sciences quasiparticle interference Scanning tunneling microscopy Superconductivity Unit cell |
title | Atomic-scale electronic structure of the cuprate pair density wave state coexisting with superconductivity |
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