Abstract
By using the vacuum ultraviolet laser-based ARPES system, we have performed high-resolution angle-resolved photoemission measurements on Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_8\) \(_+\) \(_\delta \) (Bi2212) superconductors to investigate momentum dependence of electron coupling with collective excitations. Two coexisting energy scales are clearly revealed over a large momentum space for the first time in the superconducting state of the overdoped Bi2212 superconductor. Distinct momentum dependence has been identified for these two energy scales: One keeps its energy near 78 meV over a large momentum space while the other changes its energy from \(\sim \)40 meV near the antinodal region to \(\sim \)70 meV near the nodal region. These observations clearly indicate that electrons are coupled with two sharp modes simultaneously over a large momentum space in the superconducting states which naturally explains the relationship between the nodal and the antinodal kinks. The unusual momentum dependence of the two modes also poses a challenge to our current understanding of electron–mode coupling and its role for high-temperature superconductivity in cuprate superconductors.
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References
Anderson, P.W.: Is there glue in cuprate superconductors? Science 316(5832), 1705–1707 (2007)
Dong Wei Lu, X., Wen, J.S., Xu, Z.J., Gu, G.D., Sasagawa, T., Wang, G., Zhu, Y., Zhang, H., Zhou, Y., Wang, X., Zhao, Z., Chen, C., Xu, Z., Zhou, X.J., Zhang, W., Liu, G., Zhao, L., Liu, H., Meng, J.: Identification of a new form of electron coupling in the Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_8\) superconductor by laser-based angle-resolved photoemission spectroscopy. Phys. Rev. Lett. 100, 107002 (2008)
Vishik, I.M., Lee, W.S., Schmitt, F., Moritz, B., Sasagawa, T., Uchida, S., Fujita, K., Ishida, S., Zhang, C., Devereaux, T.P., Shen, Z.X.: Doping-dependent nodal Fermi velocity of the high-temperature superconductor Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_{8+\delta }\) revealed using high-resolution angle-resolved photoemission spectroscopy. Phys. Rev. Lett. 104(20), 207002 (2010)
Plumb, N.C., Reber, T.J., Koralek, J.D., Sun, Z., Douglas, J.F., Aiura, Y., Oka, K., Eisaki, H., Dessau, D.S.: Low-energy (\({\ll }\) 10 meV) feature in the nodal electron self-energy and strong temperature dependence of the Fermi velocity in Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_{8+\delta }\). Phys. Rev. Lett. 105(4), 046402 (2010)
Bogdanov, P.V., Lanzara, A., Kellar, S.A., Zhou, X.J., Lu, E.D., Zheng, W.J., Gu, G., Shimoyama, J.-I., Kishio, K., Ikeda, H., Yoshizaki, R., Hussain, Z., Shen, Z.X.: Evidence for an energy scale for quasiparticle dispersion in Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_8\). Phys. Rev. Lett. 85, 2581–2584 (2000)
Johnson, P.D., Valla, T., Fedorov, A.V., Yusof, Z., Wells, B.O., Li, Q., Moodenbaugh, A.R., Gu, G.D., Koshizuka, N., Kendziora, C., Jian, S., Hinks, D.G.: Doping and temperature dependence of the mass enhancement observed in the cuprate Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_{8+\delta }\). Phys. Rev. Lett. 87, 177007 (2001)
Kaminski, A., Randeria, M., Campuzano, J.C., Norman, M.R., Fretwell, H.,Mesot, J., Sato, T., Takahashi, T., Kadowaki, K.: Renormalization of spectral line shape and dispersion below T\(_c\) in Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_{8+\delta }\). Phys. Rev. Lett. 86, 1070–1073 (2001)
Lanzara, A., Bogdanov, P.V., Zhou, X.J., Kellar, S.A., Feng, D.L., Lu, E.D., Yoshida, T., Eisaki, H., Fujimori, A., Kishio, K., Shimoyama, J.-I., Noda, T., Uchida, S., Hussain, Z., Shen, Z.-X.: Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors. Nature (London) 412(6846), 510–514 (2001)
Zhou, X.J., Yoshida, T., Lanzara, A., Bogdanov, P.V., Kellar, S.A., Shen, K.M., Yang, W.L., Ronning, F., Sasagawa, T., Kakeshita, T., Noda, T., Eisaki, H., Uchida, S., Lin, C.T., Zhou, F., Xiong, J.W., Ti, W.X., Zhao, Z.X., Fujimori, A., Hussain, Z., Shen, Z.-X.: High-temperature superconductors: universal nodal Fermi velocity. Nature (London) 423(6938), 398 (2003)
Kordyuk, A.A., Borisenko, S.V., Zabolotnyy, V.B., Geck, J., Knupfer, M., Fink, J., BĂĽchner, B., Lin, C.T., Keimer, B., Berger, H., Pan, A.V., Komiya, S., Ando, Y.: Constituents of the quasiparticle spectrum along the nodal direction of high-Tc cuprates. Phys. Rev. Lett. 97, 017002 (2006)
Gromko, A.D., Fedorov, A.V., Chuang, Y.-D., Koralek, J.D., Aiura, Y., Yamaguchi, Y., Oka, K., Ando, Y., Dessau, D.S.: Mass-renormalized electronic excitations at (\(\pi \), 0) in the superconducting state of Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_{8+\delta }\). Phys. Rev. B 68, 174520 (2003)
Kim, T.K., Kordyuk, A.A., Borisenko, S.V., Koitzsch, A., Knupfer, M., Berger, H., Fink, J.: Doping dependence of the mass enhancement in (Pb, Bi)\(_2\)Sr\(_2\)CaCu\(_2\)O\(_8\) at the antinodal point in the superconducting and normal states. Phys. Rev. Lett. 91, 167002 (2003)
Sato, T., Matsui, H., Takahashi, T., Ding, H., Yang, H.B., Wang, S.C., Fujii, T., Watanabe, T., Matsuda, A., Terashima, T., Kadowaki, K.: Observation of band renormalization effects in hole-doped high-T\(_c\) superconductors. Phys. Rev. Lett. 91(15), 157003 (2003)
Cuk, T., Baumberger, F., Lu, D.H., Ingle, N., Zhou, X.J., Eisaki, H., Kaneko, N., Hussain, Z., Devereaux, T.P., Nagaosa, N., Shen, Z.-X.: Coupling of the b1g phonon to the antinodal electronic states of Bi\(_2\)Sr\(_2\)Ca\(_{0.92}\)Y\(_{0.08}\)Cu\(_2\)O\(_{8+\delta }\). Phys. Rev. Lett. 93, 117003 (2004)
Devereaux, T.P., Cuk, T., Shen, Z.-X., Nagaosa, N.: Anisotropic electron-phonon interaction in the cuprates. Phys. Rev. Lett. 93(11), 117004 (2004)
Kamimura, H., Matsuno, S., Suwa, Y., Ushio, H.: Occurrence of d-wave pairing in the phonon-mediated mechanism of high temperature superconductivity in cuprates. Phys. Rev. Lett. 77(4), 723 (1996)
Krahl, H.C., MĂĽller, J.A., Wetterich, C.: Generation of d-wave coupling in the two-dimensional Hubbard model from functional renormalization. Phys. Rev. B 79(9), 094526 (2009)
Choi, H.Y., Varma, C.M., Zhou, X.J.: Superconductivity in the cuprates: deduction of mechanism for d-wave pairing through analysis of ARPES. Front. Phys. 6(4), 440–449 (2011)
Liu, G., Wang, G., Zhu, Y., Zhang, H., Zhang, G., Wang, X., Zhou, Y., Zhang, W., Liu, H., Zhao, L., Meng, J., Dong, X., Chen, C., Xu, Z., Zhou, X.J.: Development of a vacuum ultraviolet laser-based angle-resolved photoemission system with a superhigh energy resolution better than 1 meV. Rev. Sci. Instrum. 79(2), 023105 (2008)
He, J., Zhang, W., Bok, J.M., Mou, D., Zhao, L., Peng, Y., He, S., Liu, G., Dong, X., Zhang, J., Wen, J.S., Xu, Z.J., Gu, G.D., Wang, X., Peng, Q., Wang, Z., Zhang, S., Yang, F., Chen, C., Xu, Z., Choi, H.-Y., Varma, C.M., Zhou, X.J.: Coexistence of two sharp-mode couplings and their unusual momentum dependence in the superconducting state of Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_{8+\delta }\) revealed by laser-based angle-resolved photoemission. Phys. Rev. Lett. 111(10), 107005 (2013)
Sandvik, A.W., Scalapino, D.J., Bickers, N.E.: Effect of an electron-phonon interaction on the one-electron spectral weight of a d-wave superconductor. Phys. Rev. B 69, 094523 (2004)
Engelsberg, S., Schrieffer, J.R.: Coupled electron-phonon system. Phys. Rev. 131, 993–1008 (1963)
Lee, W.S., Meevasana, W., Johnston, S., Lu, D.H., Vishik, I.M., Moore, R.G., Eisaki, H., Kaneko, N., Devereaux, T.P., Shen, Z.X.: Superconductivity-induced self-energy evolution of the nodal electron of optimally doped Bi\(_2\)Sr\(_2\)Ca\(_{0.92}\)Y\(_{0.08}\)Cu\(_2\)O\(_{8+\delta }\). Phys. Rev. B 77, 140504(R) (2008)
Kulic, M.L., Dolgov, O.V.: Dominance of the electron-phonon interaction with forward scattering peak in high-T\(_c\) superconductors: theoretical explanation of the ARPES kink. Phys. Rev. B 71(9), 092505 (2005)
Johnston, S., Vishik, I.M., Lee, W.S., Schmitt, F., Uchida, S., Fujita, K., Ishida, S., Nagaosa, N., Shen, Z.-X., Devereaux, T.P.: Evidence for the importance of extended Coulomb interactions and forward scattering in cuprate superconductors. Phys. Rev. Lett. 108(16), 166404 (2012)
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He, J. (2016). Coexistence of Two Sharp-Mode Couplings in Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_8\) \(_+\) \(_\delta \) . In: Angle-Resolved Photoemission Spectroscopy on High-Temperature Superconductors. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52732-0_4
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DOI: https://doi.org/10.1007/978-3-662-52732-0_4
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