Coherent Superconductivity with a Large Gap Ratio from Incoherent Metals

Patel, Aavishkar A.; Lawler, Michael J.; Kim, Eun-Ah

doi:10.1103/physrevlett.121.187001

Title: Coherent Superconductivity with a Large Gap Ratio from Incoherent Metals

Journal Article · 29 October 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.121.187001 · OSTI ID:1611390

Patel, Aavishkar A. ^[1]; Lawler, Michael J. ^[2]; Kim, Eun-Ah ^[3]

Harvard Univ., Cambridge, MA (United States); Univ. of California, Santa Barbara, CA (United States); DOE/OSTI
Cornell Univ., Ithaca, NY (United States); Binghamton Univ., Vestal, NY (United States)
Cornell Univ., Ithaca, NY (United States)

Here, a mysterious incoherent metallic (IM) normal state with T-linear resistivity is ubiquitous among strongly correlated superconductors. Recent progress with microscopic models exhibiting IM transport has presented the opportunity for us to study new models that exhibit direct transitions into a superconducting state out of IM states within the framework of connected Sachdev-Ye-Kitaev “quantum dots.” Here, local Sachdev-Ye-Kitaev interactions within a dot produce IM transport in the normal state, while local attractive interactions drive superconductivity. Through explicit calculations, we find two features of superconductivity arising from an IM normal state. First, despite the absence of quasiparticles in the normal state, the superconducting state still exhibits coherent superfluid transport. Second, the nonquasiparticle nature of the IM Green’s functions produces a large enhancement in the ratio of the zero-temperature superconducting gap Δ and transition temperature T_SC, 2Δ/T_SC, with respect to its BCS value of 3.53.

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Research Organization:: Cornell Univ., Ithaca, NY (United States)

Sponsoring Organization:: NSF; USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0010313

OSTI ID:: 1611390

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 121; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model Lantagne-Hurtubise, Étienne; Pathak, Vedangi; Sahoo, Sharmistha arXiv https://doi.org/10.48550/arxiv.2012.12491	text	January 2020
Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one dimensional incoherent semimetal Jose, Geo; Seo, Kangjun; Uchoa, Bruno arXiv https://doi.org/10.48550/arxiv.2103.12110	text	January 2021
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Low-energy antiferromagnetic spin fluctuations limit the coherent superconducting gap in cuprates Li, Yangmu; Zhong, Ruidan; Stone, M. B. Physical Review B, Vol. 98, Issue 22 https://doi.org/10.1103/physrevb.98.224508	journal	December 2018
Theory of a Planckian Metal Patel, Aavishkar A.; Sachdev, Subir Physical Review Letters, Vol. 123, Issue 6 https://doi.org/10.1103/physrevlett.123.066601	journal	August 2019
Low-energy antiferromagnetic spin fluctuations limit the coherent superconducting gap in cuprates Li, Yangmu; Zhong, Ruidan; Stone, M. B. arXiv https://doi.org/10.48550/arxiv.1806.10633	text	January 2018
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Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition Wang, Yuxuan arXiv https://doi.org/10.48550/arxiv.1904.07240	text	January 2019
Theory of a Planckian metal Patel, Aavishkar A.; Sachdev, Subir arXiv https://doi.org/10.48550/arxiv.1906.03265	text	January 2019

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Title: Coherent Superconductivity with a Large Gap Ratio from Incoherent Metals

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