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Unconventional Superconductivity arising from Multipolar Kondo Interactions

by Adarsh S. Patri, Yong Baek Kim

This is not the latest submitted version.

This Submission thread is now published as SciPost Phys. 12, 057 (2022)

Submission summary

As Contributors: Adarsh Patri
Preprint link: scipost_202104_00029v3
Date submitted: 2021-10-29 00:04
Submitted by: Patri, Adarsh
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical


The nature of unconventional superconductivity is intimately linked to the microscopic nature of the pairing interactions. In this work, motivated by cubic heavy fermion compounds with embedded multipolar moments, we theoretically investigate superconducting instabilities instigated by multipolar Kondo interactions. Employing multipolar fluctuations (mediated by RKKY interaction) coupled to conduction electrons via two-channel Kondo and novel multipolar Kondo interactions, we uncover a variety of superconducting states characterized by higher-angular momentum Cooper pairs, J=0,1,2,3. We demonstrate that both odd and even parity pairing functions are possible, regardless of the total angular momentum of the Cooper pairs, which can be traced back to the atypical nature of the multipolar Kondo interaction that intertwines conduction electron spin and orbital degrees of freedom. We determine that different (point-group) irrep classified pairing functions may coexist with each other, with some of them characterized by gapped and point node structures in their corresponding quasiparticle spectra. This work lays the foundation for discovery and classification of superconducting states in rare-earth metallic compounds with multipolar local moments.

Current status:
Has been resubmitted

Reports on this Submission

Anonymous Report 1 on 2021-11-30 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_202104_00029v3, delivered 2021-11-30, doi: 10.21468/SciPost.Report.3978


I am satisfied with the changes in the discussion about the momentum dependence. The discussion about “coupled” order parameters is now just absent from the text, with no explanation of what it means to have coupled order parameters (it sounds like this means they were found together in solving the coupled BCS equations for some sets of parameters). Some brief discussion of this should be added somewhere (perhaps on page 9). After this change, I think the paper is okay to be published.

Requested changes

1. Add some brief discussion on page 9 (or elsewhere) of what it means to have "coupled" order parameters.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Author:  Adarsh Patri  on 2021-12-01  [id 1998]

(in reply to Report 1 on 2021-11-30)
answer to question

Dear Reviewer,

We thank you for your comment and the suggested revision.
We have revised our manuscript to discuss the existence of the multiple order parameter solutions (found by solving the coupled BCS equations) at the bottom of Page 10.

Adarsh S. Patri and Yong-Baek Kim

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