by Little, W. A., Holcomb, M. J., Ghiringhelli, G., Braicovich, L., Dallera, C., Piazzalunga, A., Tagliaferri, A. and Brookes, N. B.
Abstract:
We have measured the near-normal reflectance of T12212 for energies from 0. 1 to 4.0 eV at room temperature and used a Kramers-Kronig analysis to find the complex, frequency dependent dielectric function, epsilon(omega) from which the optical conductivity a(omega) was determined. Using thermal-difference-reflectance (TDR) spectroscopy the reflectance of the sample in the normal state just above the superconducting transition, and in the superconducting state were then obtained. From these data we determined the ratio of the superconducting- to normal-state optical conductivities, sigma(S1)(omega)/sigma(N1)(omega)- Mattis and Bardeen had calculated this function within the BCS theory, where the gap is a fixed energy-independent quantity. Taking into account the retarded nature of the electron-phonon coupling results in a complex, energy dependent gap Delta(omega) causing deviations from the Mattis-Bardeen plot at energies where the phonon coupling function alpha(2)(omega)F(omega), is large. We find a typical deviation near the phonon energies in T12212, and in addition, at 1.2 and 1.7 eV. The phonon, and these electronic terms can each be described by a coupling constant;lambda. None of which by itself gives rise to a high transition temperature, but the combination does. Using resonant inelastic X-ray scattering (RIXS) we find that the d-d excitations of the cuprate ion in T12212 fall at the same energies as the dips in the Mattis-Bardeen plot. We conclude that the high superconducting transition temperature of the cuprates is due to the sum of the phonon interaction, and interactions with the Cu-ion d-shell. (c) 2007 Elsevier B.V. All rights reserved.
Reference:
A determination of the pairing interaction in the high T-c cuprate superconductor Tl2BaCaCu2O8 (Tl2212) (Little, W. A., Holcomb, M. J., Ghiringhelli, G., Braicovich, L., Dallera, C., Piazzalunga, A., Tagliaferri, A. and Brookes, N. B.), In PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, ELSEVIER SCIENCE BV, volume 460, 2007.
Bibtex Entry:
@article{ ISI:000249870500011, Author = {Little, W. A. and Holcomb, M. J. and Ghiringhelli, G. and Braicovich, L. and Dallera, C. and Piazzalunga, A. and Tagliaferri, A. and Brookes, N. B.}, Title = {{A determination of the pairing interaction in the high T-c cuprate superconductor Tl2BaCaCu2O8 (Tl2212)}}, Journal = {{PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS}}, Year = {{2007}}, Volume = {{460}}, Number = {{1}}, Pages = {{40-43}}, Month = {{SEP 1}}, Note = {{8th International Conference on Materials and Mechanisms of Superconductivity and High Temperature Superconductors, Dresden, GERMANY, JUL 09-14, 2006}}, Abstract = {{We have measured the near-normal reflectance of T12212 for energies from 0. 1 to 4.0 eV at room temperature and used a Kramers-Kronig analysis to find the complex, frequency dependent dielectric function, epsilon(omega) from which the optical conductivity a(omega) was determined. Using thermal-difference-reflectance (TDR) spectroscopy the reflectance of the sample in the normal state just above the superconducting transition, and in the superconducting state were then obtained. From these data we determined the ratio of the superconducting- to normal-state optical conductivities, sigma(S1)(omega)/sigma(N1)(omega)- Mattis and Bardeen had calculated this function within the BCS theory, where the gap is a fixed energy-independent quantity. Taking into account the retarded nature of the electron-phonon coupling results in a complex, energy dependent gap Delta(omega) causing deviations from the Mattis-Bardeen plot at energies where the phonon coupling function alpha(2)(omega)F(omega), is large. We find a typical deviation near the phonon energies in T12212, and in addition, at 1.2 and 1.7 eV. The phonon, and these electronic terms can each be described by a coupling constant;lambda. None of which by itself gives rise to a high transition temperature, but the combination does. Using resonant inelastic X-ray scattering (RIXS) we find that the d-d excitations of the cuprate ion in T12212 fall at the same energies as the dips in the Mattis-Bardeen plot. We conclude that the high superconducting transition temperature of the cuprates is due to the sum of the phonon interaction, and interactions with the Cu-ion d-shell. (c) 2007 Elsevier B.V. All rights reserved.}}, Publisher = {{ELSEVIER SCIENCE BV}}, Address = {{PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}}, Type = {{Article; Proceedings Paper}}, Language = {{English}}, Affiliation = {{Little, WA (Corresponding Author), Stanford Univ, Dept Phys, Stanford, CA 94305 USA. Stanford Univ, Dept Phys, Stanford, CA 94305 USA. Politecn Milan, Milan, Italy. European Synchrotron Radiat Facil, F-38043 Grenoble, France.}}, DOI = {{10.1016/j.physc.2007.03.031}}, ISSN = {{0921-4534}}, EISSN = {{1873-2143}}, Keywords = {{RIXS; superconductivity; cuprates; optical conductivity; electron-phonon interaction; exciton interaction; TDR spectroscopy}}, Keywords-Plus = {{RAY-EMISSION-SPECTROSCOPY; TEMPERATURE SUPERCONDUCTORS}}, Research-Areas = {{Physics}}, Web-of-Science-Categories = {{Physics, Applied; Physics, Condensed Matter}}, Author-Email = {{bill@mmr.com}}, ResearcherID-Numbers = {{Brookes, Nicholas B/C-6718-2019 Ghiringhelli, Giacomo/D-1159-2014 Tagliaferri, Alberto/L-2903-2015 }}, ORCID-Numbers = {{Brookes, Nicholas B/0000-0002-1342-9530 Ghiringhelli, Giacomo/0000-0003-0867-7748 Tagliaferri, Alberto/0000-0001-8001-1786 Braicovich, Lucio/0000-0001-6548-9140}}, Number-of-Cited-References = {{30}}, Times-Cited = {{10}}, Usage-Count-Last-180-days = {{0}}, Usage-Count-Since-2013 = {{12}}, Journal-ISO = {{Physica C}}, Doc-Delivery-Number = {{216IA}}, Unique-ID = {{ISI:000249870500011}}, DA = {{2020-12-22}}, }
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