Superconductivity at an antiferromagnetic quantum critical point: Role of energy fluctuations

Jian Kang, Rafael M Fernandes, Elihu Abrahams, Peter Wölfle

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Abstract

Motivated by recent experiments reporting superconductivity only at very low temperature in a class of heavy fermion compounds, we study the impact of energy fluctuations with small momentum transfer on the pairing instability near an antiferromagnetic quantum critical point. While these fluctuations, formed by composite spin fluctuations, were proposed to explain the thermodynamic and transport properties near the quantum critical point of compounds such as YbRh2Si2 and CeCu6-xAux at x≈0.1, here they are found to strongly suppress Tc of the d-wave pairing of the hot quasiparticles promoted by the spin fluctuations. Interestingly, if energy fluctuations are strong enough, they can induce triplet pairing involving the quasiparticles of the cold regions of the Fermi surface. Overall, the opposing effects of energy and spin fluctuations lead to a suppression of Tc.

Original languageEnglish (US)
Article number214515
JournalPhysical Review B
Volume98
Issue number21
DOIs
StatePublished - Dec 26 2018

Bibliographical note

Funding Information:
J.K., R.M.F., and P.W. are grateful to have had the pleasure of collaborating in this project with E.A., who passed away during the final stages of preparation of this paper. The authors acknowledge fruitful discussions with A. Chubukov and J. Schmalian. J.K. was supported by the National High Magnetic Field Laboratory through NSF Grant No. DMR-1157490 and the State of Florida. R.M.F. was supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, under Award No. DE-SC0012336. Part of this work was developed when the authors attended research programs at the Aspen Center for Physics (R.M.F., E.A., and P.W.), which is supported by the National Science Foundation under Grant No. PHY-1066293, and at KITP (J.K., R.M.F., and E.A.), which is supported by the National Science Foundation under Grant No. PHY17-48958.

Funding Information:
J.K., R.M.F., and P.W. are grateful to have had the pleasure of collaborating in this project with E.A., who passed away during the final stages of preparation of this paper. The authors acknowledge fruitful discussions with A. Chubukov and J. Schmalian. J.K. was supported by the National High Magnetic Field Laboratory through NSF Grant No. DMR-1157490 and the State of Florida. R.M.F. was supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, under Award No. DE-SC0012336. Part of this work was developed when the authors attended research programs at the Aspen Center for Physics (R.M.F., E.A., and P.W.), which is supported by the National Science Foundation under Grant No. PHY-1066293, and at KITP (J.K., R.M.F., and E.A.), which is supported by the National Science Foundation under Grant No. PHY17-48958.

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