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  Nonequilibrium steady states and transient dynamics of conventional superconductors under phonon driving

Murakami, Y., Tsuji, N., Eckstein, M., & Werner, P. (2017). Nonequilibrium steady states and transient dynamics of conventional superconductors under phonon driving. Physical Review B, 96(4): 045125. doi:10.1103/PhysRevB.96.045125.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-9D9B-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-4877-8
Genre: Journal Article

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https://dx.doi.org/10.1103/PhysRevB.96.045125 (Publisher version)
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 Creators:
Murakami, Y.1, Author
Tsuji, N.2, Author
Eckstein, M.3, Author              
Werner, P.1, Author
Affiliations:
1Department of Physics, University of Fribourg, ou_persistent22              
2RIKEN Center for Emergent Matter Science (CEMS), ou_persistent22              
3Theory of Correlated Systems out of Equilibrium, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_1938296              

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 Abstract: We perform a systematic analysis of the influence of phonon driving on the superconducting Holstein model coupled to heat baths by studying both the transient dynamics and the nonequilibrium steady state (NESS) in the weak and strong electron-phonon coupling regimes. Our study is based on the nonequilibrium dynamical mean-field theory, and for the NESS we present a Floquet formulation adapted to electron-phonon systems. The analysis of the phonon propagator suggests that the effective attractive interaction can be strongly enhanced in a parametric resonant regime because of the Floquet side bands of phonons. While this may be expected to enhance the superconductivity (SC), our fully self-consistent calculations, which include the effects of heating and nonthermal distributions, show that the parametric phonon driving generically results in a suppression or complete melting of the SC order. In the strong coupling regime, the NESS always shows a suppression of the SC gap, the SC order parameter, and the superfluid density as a result of the driving, and this tendency is most prominent at the parametric resonance. Using the real-time nonequilibrium DMFT formalism, we also study the dynamics towards the NESS, which shows that the heating effect dominates the transient dynamics, and SC is weakened by the external driving, in particular at the parametric resonance. In the weak coupling regime, we find that the SC fluctuations above the transition temperature are generally weakened under the driving. The strongest suppression occurs again around the parametric resonances because of the efficient energy absorption.

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Language(s): eng - English
 Dates: 2017-05-222017-02-232017-07-192017-07-19
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevB.96.045125
arXiv: 1702.02942
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Project name : The authors wish to thank D. Golež, H. Strand, and J. Okamoto for fruitful discussions. Y.M. is supported by the Swiss National Science Foundation through NCCR Marvel. P.W. acknowledges support from FP7 ERC Starting Grant No. 278023. N.T. is supported by JSPS KAKENHI (Grant No. 16K17729). M.E. acknowledges support by the Deutsche Forschungsgemeinschaft within the Sonderforschungsbereich 925 (projects B4).
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 96 (4) Sequence Number: 045125 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: /journals/resource/954925225008