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Title: Emergence of superconductivity in the cuprates via a universal percolation process

A pivotal step toward understanding unconventional superconductors would be to decipher how superconductivity emerges from the unusual normal state. In the cuprates, traces of superconducting pairing appear above the macroscopic transition temperature T c, yet extensive investigation has led to disparate conclusions. The main difficulty has been to separate superconducting contributions from complex normal-state behaviour. Here we avoid this problem by measuring nonlinear conductivity, an observable that is zero in the normal state. We uncover for several representative cuprates that the nonlinear conductivity vanishes exponentially above T c, both with temperature and magnetic field, and exhibits temperature-scaling characterized by a universal scale Ξ0. Attempts to model the response with standard Ginzburg-Landau theory are systematically unsuccessful. Instead, our findings are captured by a simple percolation model that also explains other properties of the cuprates. We thus resolve a long-standing conundrum by showing that the superconducting precursor in the cuprates is strongly affected by intrinsic inhomogeneity.
Authors:
ORCiD logo [1] ;  [1] ; ORCiD logo [1] ; ORCiD logo [1] ;  [2] ;  [3] ;  [2] ;  [4]
  1. Univ. of Zagreb (Croatia)
  2. Univ. of Minnesota, Minneapolis, MN (United States)
  3. Tokyo Inst. of Technology (Japan)
  4. Univ. of Minnesota, Minneapolis, MN (United States); Technische Univ. Wien, Vienna (Austria)
Publication Date:
Grant/Contract Number:
SC0016371
Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 9; Journal Issue: 1; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Research Org:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1483611

Pelc, Damjan, Vučković, Marija, Grbić, Mihael S., Požek, Miroslav, Yu, Guichuan, Sasagawa, Takao, Greven, Martin, and Barišić, Neven. Emergence of superconductivity in the cuprates via a universal percolation process. United States: N. p., Web. doi:10.1038/s41467-018-06707-y.
Pelc, Damjan, Vučković, Marija, Grbić, Mihael S., Požek, Miroslav, Yu, Guichuan, Sasagawa, Takao, Greven, Martin, & Barišić, Neven. Emergence of superconductivity in the cuprates via a universal percolation process. United States. doi:10.1038/s41467-018-06707-y.
Pelc, Damjan, Vučković, Marija, Grbić, Mihael S., Požek, Miroslav, Yu, Guichuan, Sasagawa, Takao, Greven, Martin, and Barišić, Neven. 2018. "Emergence of superconductivity in the cuprates via a universal percolation process". United States. doi:10.1038/s41467-018-06707-y. https://www.osti.gov/servlets/purl/1483611.
@article{osti_1483611,
title = {Emergence of superconductivity in the cuprates via a universal percolation process},
author = {Pelc, Damjan and Vučković, Marija and Grbić, Mihael S. and Požek, Miroslav and Yu, Guichuan and Sasagawa, Takao and Greven, Martin and Barišić, Neven},
abstractNote = {A pivotal step toward understanding unconventional superconductors would be to decipher how superconductivity emerges from the unusual normal state. In the cuprates, traces of superconducting pairing appear above the macroscopic transition temperature Tc, yet extensive investigation has led to disparate conclusions. The main difficulty has been to separate superconducting contributions from complex normal-state behaviour. Here we avoid this problem by measuring nonlinear conductivity, an observable that is zero in the normal state. We uncover for several representative cuprates that the nonlinear conductivity vanishes exponentially above Tc, both with temperature and magnetic field, and exhibits temperature-scaling characterized by a universal scale Ξ0. Attempts to model the response with standard Ginzburg-Landau theory are systematically unsuccessful. Instead, our findings are captured by a simple percolation model that also explains other properties of the cuprates. We thus resolve a long-standing conundrum by showing that the superconducting precursor in the cuprates is strongly affected by intrinsic inhomogeneity.},
doi = {10.1038/s41467-018-06707-y},
journal = {Nature Communications},
number = 1,
volume = 9,
place = {United States},
year = {2018},
month = {10}
}

Works referenced in this record:

Percolation and Conduction
journal, October 1973