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BCS theory of driven superconductivity

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Abstract

We study the impact of a time-dependent external driving of the lattice phonons in a minimal model of a BCS superconductor. Upon evaluating the driving-induced vertex corrections of the phonon-mediated electron-electron interaction, we show that parametric phonon driving can be used to elevate the critical temperature T c , while a dipolar phonon drive has no effect. We provide simple analytic expressions for the enhancement factor of T c . Furthermore, a mean-field analysis of a nonlinear phonon-phonon interaction also shows that phonon anharmonicities further amplify T c . Our results hold universally for the large class of normal BCS superconductors.

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References

  1. M. Först, R. Mankowsky, A. Cavalleri, Acc. Chem. Res. 48, 380 (2015)

    Article  Google Scholar 

  2. D. Fausti, R.I. Tobey, N. Dean, S. Kaiser, A. Dienst, M.C. Hoffmann, S. Pyon, T. Takayama, H. Takagi, A. Cavalleri, Science 331, 189 (2011)

    Article  ADS  Google Scholar 

  3. R. Mankowsky, A. Subedi, M. Först, S.O. Mariager, M. Chollet, H.T. Lemke, J.S. Robinson, J.M. Glownia, M.P. Minitti, A. Frano, M. Fechner, N.A. Spaldin, T. Loew, B. Keimer, A. Georges, A. Cavalleri, Nature 516, 71 (2014)

    Article  ADS  Google Scholar 

  4. W. Hu, S. Kaiser, D. Nicoletti, C.R. Hunt, I. Gierz, M.C. Hoffmann, M. Le Tacon, T. Loew, B. Keimer, A. Cavalleri, Nat. Mater. 13, 705 (2014)

    Article  ADS  Google Scholar 

  5. S. Kaiser, C.R. Hunt, D. Nicoletti, W. Hu, I. Gierz, H.Y. Liu, M. Le Tacon, T. Loew, D. Haug, B. Keimer, A. Cavalleri, Phys. Rev. B 89, 184516 (2014)

    Article  ADS  Google Scholar 

  6. M. Först, A.D. Caviglia, R. Scherwitzl, R. Mankowsky, P. Zubko, V. Khanna, H. Bromberger, S.B. Wilkins, Y.-D. Chuang, W.S. Lee, W.F. Schlotter, J.J. Turner, G.L. Dakovski, M.P. Minitti, J. Robinson, S.R. Clark, D. Jaksch, J.-M. Triscone, J.P. Hill, S.S. Dhesi, A. Cavalleri, Nat. Mater. 14, 883 (2015)

    Article  ADS  Google Scholar 

  7. R. Singla, G. Cotugno, S. Kaiser, M. Först, M. Mitrano, H.-Y. Liu, A. Cartella, C. Manzoni, H. Okamoto, T. Hasegawa, S.-R. Clark, D. Jaksch, A. Cavalleri, Phys. Rev. Lett. 115, 187401 (2015)

    Article  ADS  Google Scholar 

  8. M. Mitrano, A. Cantaluppi, D. Nicoletti, S. Kaiser, A. Perucchi, S. Lupi, P. Di Pietro, D. Pontiroli, M. Ricco, A. Subedi, S.R. Clark, D. Jaksch, A. Cavalleri, Nature 530, 461 (2016)

    Article  ADS  Google Scholar 

  9. F. Schmitt, P.S. Kirchmann, U. Bovensiepen, R.G. Moore, L. Rettig, M. Krenz, J.-H. Chu, N. Ru, L. Perfetti, D.H. Lu, M. Wolf, I.R. Fisher, Z.-X. Shen, Science 321, 1649 (2008)

    Article  ADS  Google Scholar 

  10. R. Yusupov, T. Mertelj, V.V. Kabanov, S. Brazovskii, P. Kusar, J.-H. Chu, I.R. Fisher, D. Mihailovic, Nat. Phys. 6, 681 (2010)

    Article  Google Scholar 

  11. S. Hellmann, M. Beye, C. Sohrt, T. Rohwer, F. Sorgenfrei, H. Redlin, M. Kalläne, M. Marczynski-Bühlow, F. Hennies, M. Bauer, A. Föhlisch, L. Kipp, W. Wurth, K. Rossnagel, Phys. Rev. Lett. 105, 187401 (2010)

    Article  ADS  Google Scholar 

  12. T. Rohwer, S. Hellmann, M. Wiesenmayer, C. Sohrt, A. Stange, B. Slomski, A. Carr, Y. Liu, L.M. Avila, M. Kalläne, S. Mathias, L. Kipp, K. Rossnagel, M. Bauer, Nature 471, 490 (2011)

    Article  ADS  Google Scholar 

  13. M. Rini, R. Tobey, N. Dean, J. Itatani, Y. Tomioka, Y. Tokura, R.W. Schoenlein, A. Cavalleri, Nature 449, 72 (2007)

    Article  ADS  Google Scholar 

  14. D.J. Hilton, R.P. Prasankumar, S. Fourmaux, A. Cavalleri, D. Brassard, M.A. El Khakani, J.C. Kieffer, A.J. Taylor, R.D. Averitt, Phys. Rev. Lett. 99, 226401 (2007)

    Article  ADS  Google Scholar 

  15. M. Liu, H.Y. Hwang, H. Tao, A.C. Strikwerda, K. Fan, G.R. Keiser, A.J. Sternbach, K.G. West, S. Kittiwatanakul, J. Lu, S.A. Wolf, F.G. Omenetto, X. Zhang, K.A. Nelson, R.D. Averitt, Nature 487, 345 (2012)

    Article  ADS  Google Scholar 

  16. J. Demsar, R.D. Averitt, A.J. Taylor, V.V. Kabanov, W.N. Kang, H.J. Kim, E.M. Choi, S.I. Lee, Phys. Rev. Lett. 91, 267002 (2003)

    Article  ADS  Google Scholar 

  17. J. Graf, C. Jozwiak, C.L. Smallwood, H. Eisaki, R.A. Kaindl, D.-H. Lee, A. Lanzara, Nat. Phys. 7, 805 (2011)

    Article  Google Scholar 

  18. C.L. Smallwood, J.P. Hinton, C. Jozwiak, W. Zhang, J.D. Koralek, H. Eisaki, D.-H. Lee, J. Orenstein, A. Lanzara, Science 336, 1137 (2012)

    Article  ADS  Google Scholar 

  19. R. Matsunaga, Y.I. Hamada, K. Makise, Y. Uzawa, H. Terai, Z. Wang, R. Shimano, Phys. Rev. Lett. 111, 057002 (2013)

    Article  ADS  Google Scholar 

  20. M. Först, C. Manzoni, S. Kaiser, Y. Tomioka, Y. Tokura, R. Merlin, A. Cavalleri, Nat. Phys. 7, 854 (2011)

    Article  Google Scholar 

  21. A. Subedi, A. Cavalleri, A. Georges, Phys. Rev. B 89, 220301 (R) (2014)

    Article  ADS  Google Scholar 

  22. A.F. Kemper, M.A. Sentef, B. Moritz, J.K. Freericks, T.P. Devereaux, Phys. Rev. B 92, 224517 (2015)

    Article  ADS  Google Scholar 

  23. Z.M. Raines, V. Stanev, V.M. Galitski, Phys. Rev. B 91, 184506 (2015)

    Article  ADS  Google Scholar 

  24. M.A. Sentef, A.F. Kemper, A. Georges, C. Kollath, Phys. Rev. B 93, 144506 (2016)

    Article  ADS  Google Scholar 

  25. Y. Murakami, P. Werner, N. Tsuji, H. Aoki, Phys. Rev. B 93, 094509 (2016)

    Article  ADS  Google Scholar 

  26. M. Knap, M. Babadi, G. Refael, I. Martin, E. Demler, arXiv:1511.07874 (2016)

  27. G.M. Eliashberg, J. Exp. Theor. Phys. Lett. 11, 114 (1970)

    Google Scholar 

  28. A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinskii, Quantum field theoretical methods in statistical physics (Pergamon, Oxford, 1965)

  29. I.S. Gradshteyn, I.M. Ryzhik, Table of integrals, series, and products (Elsevier/Academic Press, Amsterdam, 2007)

  30. N. Enaki, S. Colun, J. Phys.: Conf. Ser. 338, 012006 (2012)

    ADS  Google Scholar 

  31. J.K. Freericks, M. Jarrell, G.D. Mahan, Phys. Rev. Lett. 77, 4588 (1996)

    Article  ADS  Google Scholar 

  32. A. Komnik, M. Thorwart, to be published (2016)

  33. J. Appel, Phys. Rev. Lett. 21, 1164 (1968)

    Article  ADS  Google Scholar 

  34. C.R. Leavens, E. Talbot, Phys. Rev. B 28, 1304 (1983)

    Article  ADS  Google Scholar 

  35. D.A. Kirzhnits, J. Exp. Theor. Phys. Lett. 9, 213 (1969)

    Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 12, 69120, Heidelberg, Germany

    Andreas Komnik

  2. I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstr. 9, 20355, Hamburg, Germany

    Michael Thorwart

  3. The Hamburg Center for Ultrafast Imaging, Luruper Chaussee 149, 22761, Hamburg, Germany

    Michael Thorwart

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  1. Andreas Komnik
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  2. Michael Thorwart
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Correspondence to Michael Thorwart.

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Komnik, A., Thorwart, M. BCS theory of driven superconductivity. Eur. Phys. J. B 89, 244 (2016). https://doi.org/10.1140/epjb/e2016-70528-1

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  • DOI: https://doi.org/10.1140/epjb/e2016-70528-1

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