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Krzyszczak J, Domański T, Wysokiński KI, Micnas R, Robaszkiewicz S. Real space inhomogeneities in high temperature superconductors: the perspective of the two-component model. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2010; 22:255702. [PMID: 21393807 DOI: 10.1088/0953-8984/22/25/255702] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The two-component model of high temperature superconductors in its real space version has been solved using Bogoliubov-de Gennes equations. The disorder in the electron and boson subsystem has been taken into account. It strongly modifies the superconducting properties and leads to local variations of the gap parameter and density of states. The assumption that the impurities mainly modify boson energies offers a natural explanation of the puzzling positive correlation between the positions of impurities and the values of the order parameter found in the scanning tunneling microscopy experiments.
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Affiliation(s)
- J Krzyszczak
- Institute of Physics and Nanotechnology Center, M Curie-Skłodowska University, Lublin, Poland
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Bobroff J, Alloul H, Ouazi S, Mendels P, Mahajan A, Blanchard N, Collin G, Guillen V, Marucco JF. Absence of static phase separation in the high T(c) cuprate YBa(2)Cu(3)O(6+y). PHYSICAL REVIEW LETTERS 2002; 89:157002. [PMID: 12366014 DOI: 10.1103/physrevlett.89.157002] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2002] [Indexed: 05/23/2023]
Abstract
We use 89Y NMR in YBa(2)Cu(3)O(6+y) in order to evaluate with high sensitivity the distribution of hole content p in the CuO2 planes. For y=1 and y=0.6, this hole doping distribution is found narrow with a full width at half maximum smaller than Deltap=0.025. This rules out any large static phase separation between underdoped and optimally doped regions in contrast with the one observed by STM in Bi2212 and by NQR in LaSrCuO. This establishes that static electronic phase separation is not a generic feature of the cuprates.
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Affiliation(s)
- J Bobroff
- Laboratoire de Physique des Solides, UMR 8502, Université Paris-Sud, 91405 Orsay, France
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Lang KM, Madhavan V, Hoffman JE, Hudson EW, Eisaki H, Uchida S, Davis JC. Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+delta. Nature 2002; 415:412-6. [PMID: 11807550 DOI: 10.1038/415412a] [Citation(s) in RCA: 638] [Impact Index Per Article: 29.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
Granular superconductivity occurs when microscopic superconducting grains are separated by non-superconducting regions; Josephson tunnelling between the grains establishes the macroscopic superconducting state. Although crystals of the copper oxide high-transition-temperature (high-Tc) superconductors are not granular in a structural sense, theory suggests that at low levels of hole doping the holes can become concentrated at certain locations resulting in hole-rich superconducting domains. Granular superconductivity arising from tunnelling between such domains would represent a new view of the underdoped copper oxide superconductors. Here we report scanning tunnelling microscope studies of underdoped Bi2Sr2CaCu2O8+delta that reveal an apparent segregation of the electronic structure into superconducting domains that are approximately 3 nm in size (and local energy gap <50 meV), located in an electronically distinct background. We used scattering resonances at Ni impurity atoms as 'markers' for local superconductivity; no Ni resonances were detected in any region where the local energy gap Delta > 50 +/- 2.5 meV. These observations suggest that underdoped Bi2Sr2CaCu2O8+delta is a mixture of two different short-range electronic orders with the long-range characteristics of a granular superconductor.
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Affiliation(s)
- K M Lang
- Department of Physics, University of California, Berkeley, California 94720, USA
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Lieber CM, Liu J, Sheehan PE. Anorganische Materialien mit Hilfe von Rastersondenmikroskopen verstehen und manipulieren. Angew Chem Int Ed Engl 1996. [DOI: 10.1002/ange.19961080704] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Biagini M. Energy-gap structure of a t-J bilayer. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:9359-9365. [PMID: 9982439 DOI: 10.1103/physrevb.53.9359] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Kane J, Ng K. Angular dependence of the in-plane energy gap of Bi2Sr2CaCu2O8 by tunneling spectroscopy. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:2819-2826. [PMID: 9983795 DOI: 10.1103/physrevb.53.2819] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Oda M, Manabe C, Ido M. STM images of a superconducting Cu-O plane and the corresponding tunneling spectrum in Bi2Sr2CaCu2O8+ delta. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:2253-2256. [PMID: 9983723 DOI: 10.1103/physrevb.53.2253] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Renner C, Fischer O. Vacuum tunneling spectroscopy and asymmetric density of states of Bi2Sr2CaCu2O8+ delta. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:9208-9218. [PMID: 9977563 DOI: 10.1103/physrevb.51.9208] [Citation(s) in RCA: 110] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Stojkovic BP, Valls OT. Density of states in layered superconductor-insulator structures. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:3186-3194. [PMID: 9979105 DOI: 10.1103/physrevb.51.3186] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Varelogiannis G. Quasiparticle spectrum in the high-Tc superconducting state. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:1381-1384. [PMID: 9978311 DOI: 10.1103/physrevb.51.1381] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wolf EL, Chang A, Rong ZY, Ivanchenko YM, Lu F. Direct STM mapping of the superconducting energy gap in single crystal BI2SR2CACU2O8+x. ACTA ACUST UNITED AC 1994. [DOI: 10.1007/bf00724568] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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The effects of anisotropy on the vortex dynamics and transport dissipation in Bi-Sr-Ca-Cu-0 compounds. ACTA ACUST UNITED AC 1994. [DOI: 10.1016/0964-1807(94)90015-9] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Liu J, Li Y, Lieber CM. Intrinsic features of Bi2Sr2CaCu2O8+ delta tunneling spectra: Scaling and symmetry of the energy gap. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:6234-6238. [PMID: 10011608 DOI: 10.1103/physrevb.49.6234] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chen Q, Ng K, Manzi AE, Luo HL. Tunneling studies of Bi2Sr2Ca2Cu3O10-x in the ab plane. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:6193-6196. [PMID: 10011602 DOI: 10.1103/physrevb.49.6193] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Stojkovic BP, Valls OT. Size effects and characteristic lengths in superconducting films and interfaces. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:3413-3422. [PMID: 10011204 DOI: 10.1103/physrevb.49.3413] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Cucolo AM, Nigro A, Romano P, Carotenuto M. Different background conductances in the tunneling characteristics of Bi2Sr2CaCu2O8-based junctions. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:1308-1314. [PMID: 10010440 DOI: 10.1103/physrevb.49.1308] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Gray KE, Kim DH. Interlayer tunneling model for the c-axis resistivity in high-temperature superconductors. PHYSICAL REVIEW LETTERS 1993; 70:1693-1696. [PMID: 10053360 DOI: 10.1103/physrevlett.70.1693] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Bandte C. Density of states, NMR rate, and electromagnetic absorption in high-temperature superconductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:5473-5476. [PMID: 10006723 DOI: 10.1103/physrevb.47.5473] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Polturak E, Koren G, Cohen D, Aharoni E. Measurements of the anisotropy and temperature dependence of the in-plane energy gap in YBa2Cu3O7- delta using Andreev reflections. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:5270-5274. [PMID: 10006693 DOI: 10.1103/physrevb.47.5270] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Stojkovic BP, Valls OT. Order parameter near a superconductor-insulator interface. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:5922-5930. [PMID: 10004541 DOI: 10.1103/physrevb.47.5922] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wenger F, Östlund S. d-wave pairing in tetragonal superconductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:5977-5983. [PMID: 10004545 DOI: 10.1103/physrevb.47.5977] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zhang Z, Lieber CM. Measurement of the energy gap in oxygen-annealed Bi2Sr2CaCu2O8+ delta high-Tc superconductors by tunneling spectroscopy. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:3423-3426. [PMID: 10006433 DOI: 10.1103/physrevb.47.3423] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Halbritter J. Pair weakening and tunnel channels at cuprate interfaces. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:14861-14871. [PMID: 10003587 DOI: 10.1103/physrevb.46.14861] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wermbter S, Tewordt L. Photoemission intensity and density of states in the superconducting state of Bi2Sr2CaCu2O8. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:12061-12063. [PMID: 10003114 DOI: 10.1103/physrevb.46.12061] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chang A, Rong ZY, Ivanchenko YM, Lu F, Wolf EL. Observation of large tunneling-conductance variations in direct mapping of the energy gap of single-crystal Bi2Sr2CaCu2O8-x. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:5692-5698. [PMID: 10004356 DOI: 10.1103/physrevb.46.5692] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Halley JW, Wang XF, Davis S. Mean-field calculations of the properties of the dilute t-J model for high-temperature superconductivity. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:6560-6571. [PMID: 10002345 DOI: 10.1103/physrevb.46.6560] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Littlewood PB, Varma CM. Phenomenology of the superconductive state of a marginal Fermi liquid. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:405-420. [PMID: 10002225 DOI: 10.1103/physrevb.46.405] [Citation(s) in RCA: 58] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Littlewood PB, Varma CM. Anisotropic tunneling and resistivity in high-temperature superconductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:12636-12639. [PMID: 10001315 DOI: 10.1103/physrevb.45.12636] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Li Y, Huang JL, Lieber CM. Temperaure dependence of the energy gap in Bi2Sr2CaCu2O8 superconductors by high-resolution electron-energy-loss spectroscopy. PHYSICAL REVIEW LETTERS 1992; 68:3240-3243. [PMID: 10045649 DOI: 10.1103/physrevlett.68.3240] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Pierson SW, Valls OT. Surface behavior of the gap parameter in short-coherence-length superconductors: Photoemission and critical currents. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:2458-2462. [PMID: 10001770 DOI: 10.1103/physrevb.45.2458] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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