Signatures of Cooper pair dynamics and quantum-critical superconductivity in tunable carrier bands

Dong, Zhiyu; Lee, Patrick A.; Levitov, Leonid S.

doi:10.1073/pnas.2305943120

Title: Signatures of Cooper pair dynamics and quantum-critical superconductivity in tunable carrier bands

Journal Article · 21 September 2023 · Proceedings of the National Academy of Sciences of the United States of America

DOI: https://doi.org/10.1073/pnas.2305943120 · OSTI ID:2004624

Dong, Zhiyu ^[1]; Lee, Patrick A. ^[1];

^[1]

Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139

Different superconducting pairing mechanisms are markedly distinct in the underlying Cooper pair kinematics. Quantum-critical soft modes drive pairing interactions in which the pair scattering processes are highly collinear and can be classified into two categories: forward scattering and backscattering. Conversely, in conventional phonon mechanisms, Cooper pair scattering is of a generic noncollinear character. In this study, we present a method to discern the kinematic type by observing the evolution of superconductivity while adjusting the Fermi surface geometry. To demonstrate our approach, we utilize the recently reported phase diagrams of untwisted graphene multilayers. Our analysis connects the emergence of superconductivity at “ghost crossings” of Fermi surfaces in distinct valleys to the pair kinematics of a backscattering type. Together with the observed nonmonotonic behavior of superconductivity near its onset (sharp rise followed by a drop), it lends strong support to a particular quantum-critical superconductivity scenario in which pairing is driven by intervalley coherence fluctuations. These findings offer direct insights into the genesis of pairing in these systems, providing compelling evidence for the electron–electron interactions driving superconductivity. More broadly, our work highlights the potential of tuning bands via ghost crossings as a promising means of boosting superconductivity.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-03ER46076

OSTI ID:: 2004624

Alternate ID(s):: OSTI ID: 2418995

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 39 Vol. 120; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

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