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Sci Adv. 2016 Mar 04;2(3):e1501329. doi: 10.1126/sciadv.1501329. eCollection 2016 Mar.

Quantitative determination of pairing interactions for high-temperature superconductivity in cuprates.

Science advances

Jin Mo Bok, Jong Ju Bae, Han-Yong Choi, Chandra M Varma, Wentao Zhang, Junfeng He, Yuxiao Zhang, Li Yu, X J Zhou

Affiliations

  1. Department of Physics and Institute for Basic Science Research, SungKyunKwan University, Suwon 440-746, Korea.; National Laboratory for Superconductivity, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
  2. Department of Physics and Institute for Basic Science Research, SungKyunKwan University, Suwon 440-746, Korea.
  3. Department of Physics and Institute for Basic Science Research, SungKyunKwan University, Suwon 440-746, Korea.; Asia Pacific Center for Theoretical Physics, Pohang 790-784, Korea.
  4. Department of Physics and Astronomy, University of California, Riverside, CA 92521, USA.
  5. National Laboratory for Superconductivity, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.; Department of Physics and Astronomy, Shanghai JiaoTong University, Shanghai 200240, China.
  6. National Laboratory for Superconductivity, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
  7. National Laboratory for Superconductivity, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.

PMID: 26973872 PMCID: PMC4783123 DOI: 10.1126/sciadv.1501329

Abstract

A profound problem in modern condensed matter physics is discovering and understanding the nature of fluctuations and their coupling to fermions in cuprates, which lead to high-temperature superconductivity and the invariably associated strange metal state. We report the quantitative determination of normal and pairing self-energies, made possible by laser-based angle-resolved photoemission measurements of unprecedented accuracy and stability. Through a precise inversion procedure, both the effective interactions in the attractive d-wave symmetry and the repulsive part in the full symmetry are determined. The latter is nearly angle-independent. Near T c, both interactions are nearly independent of frequency and have almost the same magnitude over the complete energy range of up to about 0.4 eV, except for a low-energy feature at around 50 meV that is present only in the repulsive part, which has less than 10% of the total spectral weight. Well below T c, they both change similarly, with superconductivity-induced features at low energies. Besides finding the pairing self-energy and the attractive interactions for the first time, these results expose the central paradox of the problem of high T c: how the same frequency-independent fluctuations can dominantly scatter at angles ±π/2 in the attractive channel to give d-wave pairing and lead to angle-independent repulsive scattering. The experimental results are compared with available theoretical calculations based on antiferromagnetic fluctuations, the Hubbard model, and quantum-critical fluctuations of the loop-current order.

Keywords: ARPES; Eliashberg functions; condensed matter physics; superconductivity

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