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Slow quantum oscillations without fine-grained Fermi surface reconstruction in cuprate superconductors

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Abstract

The Fourier transform of the observed magnetic quantum oscillations (MQOs) in YBa2Cu3O6+δ high-temperature superconductors has a prominent low-frequency peak with two smaller neighboring peaks. The separation and positions of these three peaks are almost independent of doping. This pattern has been explained previously by rather special, exquisitely detailed, Fermi-surface reconstruction. We propose that these MQOs have a different origin, and their frequencies are related to the bilayer and inter-bilayer electron hopping rather than directly to the areas of tiny Fermi-surface pockets. Such so-called “slow oscillations” explain more naturally many features of the observed oscillations and allow us to estimate the inter-layer transfer integrals and in-plane Fermi momentum.

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References

  1. A. A. Abrikosov, Fundamentals of the Theory of Metals (North-Holland, Amsterdam, 1988).

    Google Scholar 

  2. D. Shoenberg, Magnetic Oscillations in Metals (Cambridge Univ. Press, Cambridge, 1984).

    Book  Google Scholar 

  3. J. M. Ziman, Principles of the Theory of Solids (Cambridge Univ. Press, Cambridge, 1972).

    Book  MATH  Google Scholar 

  4. N. Doiron-Leyraud, C. Proust, D. le Boeuf, J. Levallois, J.-B. Bonnemaison, R. Liang, D. A. Bonn, W. N. Hardy, and L. Taillefer, Nature 447, 565 (2007).

    Article  ADS  Google Scholar 

  5. S. E. Sebastian and C. Proust, Ann. Rev. Condens. Matter Phys. 6, 411 (2015).

    Article  ADS  Google Scholar 

  6. T. Helm, M. V. Kartsovnik, C. Proust, B. Vignolle, C. Putzke, E. Kampert, I. Sheikin, E.-S. Choi, J. S. Brooks, N. Bittner, W. Biberacher, A. Erb, J. Wosnitza, and R. Gross, Phys. Rev. B 92, 094501 (2015).

    Article  ADS  Google Scholar 

  7. T. Terashima, N. Kurita, M. Tomita, K. Kihou, C.-H. Lee, Y. Tomioka, T. Ito, A. Iyo, H. Eisaki, T. Liang, M. Nakajima, S. Ishida, S.-I. Uchida, H. Harima, and S. Uji, Phys. Rev. Lett. 107, 176402 (2011).

    Article  ADS  Google Scholar 

  8. D. Graf, R. Stillwell, T. P. Murphy, J.-H. Park, E. C. Palm, P. Schlottmann, R. D. McDonald, J. G. Analytis, I. R. Fisher, and S. W. Tozer, Phys. Rev. B 85, 134503 (2012).

    Article  ADS  Google Scholar 

  9. A. I. Coldea, D. Braithwaite, and A. Carrington, C. R. Phys. 14, 94 (2013).

    Article  ADS  Google Scholar 

  10. T. Terashima, N. Kikugawa, A. Kiswandhi, E.-S. Choi, J. S. Brooks, S. Kasahara, T. Watashige, H. Ikeda, T. Shibauchi, Y. Matsuda, T. Wolf, A. E. Böhmer, F. Hardy, C. Meingast, H. v. Löhneysen, M.-T. Suzuki, R. Arita, and S. Uji, Phys. Rev. B 90, 144517 (2014).

    Article  ADS  Google Scholar 

  11. A. Audouard, F. Duc, L. Drigo, P. Toulemonde, S. Karlsson, P. Strobel, and A. Sulpice, Europhys. Lett. 109, 27003 (2015).

    Article  ADS  Google Scholar 

  12. M. D. Watson, T. K. Kim, A. A. Haghighirad, N. R. Davies, A. McCollam, A. Narayanan, S. F. Blake, Y. L. Chen, S. Ghannadzadeh, A. J. Schofield, M. Hoesch, C. Meingast, T. Wolf, and A. I. Coldea, Phys. Rev. B 91, 155106 (2015).

    Article  ADS  Google Scholar 

  13. M. D. Watson, T. Yamashita, S. Kasahara, W. Knafo, M. Nardone, J. Beard, F. Hardy, A. McCollam, A. Narayanan, S. F. Blake, T. Wolf, A. A. Haghighirad, C. Meingast, A. J. Schofield, H. v. Löhneysen, Y. Matsuda, A. I. Coldea, and T. Shibauchi, Phys. Rev. Lett. 115, 027006 (2015).

    Article  ADS  Google Scholar 

  14. S. E. Sebastian, N. Harrison, E. Palm, T. P. Murphy, C. H. Mielke, R. Liang, D. A. Bonn, W. N. Hardy, and G. G. Lonzarich, Nature 454, 200 (2008).

    Article  ADS  Google Scholar 

  15. A. Audouard, C. Jaudet, D. Vignolles, R. Liang, D. A. Bonn, W. N. Hardy, L. Taillefer, and C. Proust, Phys. Rev. Lett. 103, 157003 (2009).

    Article  ADS  Google Scholar 

  16. J. Singleton, C. de la Cruz, R. D. McDonald, S. Li, M. Altarawneh, P. Goddard, I. Franke, D. Rickel, C. H. Mielke, X. Yao, and P. Dai, Phys. Rev. Lett. 104, 086403 (2010).

    Article  ADS  Google Scholar 

  17. S. E. Sebastian, N. Harrison, M. M. Altarawneh, C. H. Mielke, R. Liang, D. A. Bonn, W. N. Hardy, and G. G. Lonzarich, Proc. Natl. Acad. Sci. USA 107, 6175 (2010).

    Article  ADS  Google Scholar 

  18. S. E. Sebastian, N. Harrison, P. A. Goddard, M. M. Altarawneh, C. H. Mielke, R. Liang, D. A. Bonn, W. N. Hardy, O. K. Andersen, and G. G. Lonzarich, Phys. Rev. B 81, 214524 (2010).

    Article  ADS  Google Scholar 

  19. S. E. Sebastian, N. Harrison, R. Liang, D. A. Bonn, W. N. Hardy, C. H. Mielke, and G. G. Lonzarich, Phys. Rev. Lett. 108, 196403 (2012).

    Article  ADS  Google Scholar 

  20. S. E. Sebastian, N. Harrison, F. F. Balakirev, M. M. Altarawneh, P. A. Goddard, R. Liang, D. A. Bonn, W. N. Hardy, and G. G. Lonzarich, Nature 511, 61 (2014).

    Article  ADS  Google Scholar 

  21. N. Doiron-Leyraud, S. Badoux, S. Rene de Cotret, S. Lepault, D. LeBoeuf, F. Laliberte, E. Hassinger, B. J. Ramshaw, D. A. Bonn, W. N. Hardy, R. Liang, J.-H. Park, D. Vignolles, B. Vignolle, L. Taillefer, and C. Proust, Nat. Commun. 6, 6034 (2015).

    Article  Google Scholar 

  22. S. E. Sebastian, N. Harrison, and G. G. Lonzarich, Rep. Prog. Phys. 75, 102501 (2012).

    Article  ADS  Google Scholar 

  23. B. Vignolle, D. Vignolles, M.-H. Julien, and C. Proust, C.R. Phys. 14, 39 (2013).

    Article  ADS  Google Scholar 

  24. S. E. Sebastian, N. Harrison, and G. G. Lonzarich, Phil. Trans. R. Soc. A 369, 1687 (2011).

    Article  ADS  Google Scholar 

  25. I. S. Elfimov, G. A. Sawatzky, and A. Damascelli, Phys. Rev. B 77, 060504(R) (2008).

    Article  ADS  Google Scholar 

  26. D. Garcia-Aldea and S. Chakravarty, New J. Phys. 12, 105005 (2010).

    Article  ADS  Google Scholar 

  27. N. Harrison and S. E. Sebastian, New J. Phys. 14, 095023 (2012).

    Article  ADS  Google Scholar 

  28. N. Harrison, B. J. Ramshaw, and A. Shekhter, Sci. Rep. 5, 10914 (2015).

    Article  ADS  Google Scholar 

  29. A. K. R. Briffa, E. Blackburn, S. M. Hayden, E. A. Yelland, M. W. Long, and E. M. Forgan, Phys. Rev. B 93, 094502 (2016).

    Article  ADS  Google Scholar 

  30. G. Ghiringhelli, M. le Tacon, M. Minola, et al., Science 337, 821 (2012).

    Article  ADS  Google Scholar 

  31. J. Chang, E. Blackburn, A. Holmes, et al., Nat. Phys. 8, 871 (2012).

    Article  Google Scholar 

  32. A. J. Achkar, R. Sutarto, X. Mao, F. He, A. Frano, S. Blanco-Canosa, M. le Tacon, G. Ghiringhelli, L. Braicovich, M. Minola, M. Moretti Sala, C. Mazzoli, R. Liang, D. A. Bonn, W. N. Hardy, B. Keimer, G. A. Sawatzky, and D. G. Hawthorn, Phys. Rev. Lett. 109, 167001 (2012).

    Article  ADS  Google Scholar 

  33. S. Gerber, H. Jang, H. Nojiri, S. Matsuzawa, H. Yasumura, D. A. Bonn, R. Liang, W. N. Hardy, Z. Islam, A. Mehta, S. Song, M. Sikorski, D. Stefanescu, Y. Feng, S. A. Kivelson, T. P. Devereaux, Z.-X. Shen, C.-C. Kao, W.-S. Lee, D. Zhu, and J.-S. Lee, Science 350, 949 (2015).

    Article  Google Scholar 

  34. H. Jang, W.-S. Lee, H. Nojiri, S. Matsuzawa, H. Yasumura, L. Nie, A. V. Maharaj, S. Gerber, Y. Liu, A.Mehta, D. A. Bonn, R. Liang, W. N. Hardy, C. A. Burns, Z. Islam, et al., arXiv:1607.05359.

  35. T. Wu, H. Mayaffre, S. Krämer, M. Horvatic, C. Berthier, W. Hardy, R. Liang, D. Bonn, and M.-H. Julien, Nature (London) 477, 191 (2011).

    Article  ADS  Google Scholar 

  36. T. Wu, H. Mayaffre, S. Krämer, M. Horvatic, C. Berthier, W. Hardy, R. Liang, D. Bonn, and M.-H. Julien, Nat. Commun. 6, 6438 (2015).

    Article  Google Scholar 

  37. D. LeBoeuf, S. Krämer, W. N. Hardy, R. Liang, D. A. Bonn, and C. Proust, Nat. Phys. 9, 79 (2013).

    Article  Google Scholar 

  38. E. A. Yelland, J. Singleton, C. H. Mielke, N. Harrison, F. F. Balakirev, B. Dabrowski, and J. R. Cooper, Phys. Rev. Lett. 100, 047003 (2008).

    Article  ADS  Google Scholar 

  39. A. F. Bangura, J. D. Fletcher, A. Carrington, J. Levallois, M. Nardone, B. Vignolle, P. J. Heard, N. Doiron-Leyraud, D. LeBoeuf, L. Taillefer, S. Adachi, C. Proust, and N. E. Hussey, Phys. Rev. Lett. 100, 047004 (2008).

    Article  ADS  Google Scholar 

  40. B. S. Tan, N. Harrison, Z. Zhu, F. Balakirev, B. J. Ramshaw, A. Srivastava, S. A. Sabok-Sayr, B. Dabrowski, G. G. Lonzarich, and S. E. Sebastian, Proc. Natl. Acad. Sci. USA 112, 9568 (2015).

    Article  ADS  Google Scholar 

  41. T. Helm, M. V. Kartsovnik, M. Bartkowiak, N. Bittner, M. Lambacher, A. Erb, J. Wosnitza, and R. Gross, Phys. Rev. Lett. 103, 157002 (2009).

    Article  ADS  Google Scholar 

  42. T. Helm, M. V. Kartsovnik, I. Sheikin, M. Bartkowiak, F. Wolff-Fabris, N. Bittner, W. Biberacher, M. Lambacher, A. Erb, J. Wosnitza, and R. Gross, Phys. Rev. Lett. 105, 247002 (2010).

    Article  ADS  Google Scholar 

  43. B. J. Ramshaw, S. E. Sebastian, R. D. McDonald, J. Day, B. S. Tan, Z. Zhu, J. B. Betts, R. Liang, D. A. Bonn, W. N. Hardy, and N. Harrison, Science 348, 317 (2015).

    Article  ADS  Google Scholar 

  44. T. Pereg-Barnea, H. Weber, G. Refael, and M. Franz, Nat. Phys. 6, 44 (2010).

    Article  Google Scholar 

  45. D. Fournier, G. Levy, Y. Pennec, J. L. McChesney, A. Bostwick, E. Rotenberg, R. Liang, W. N. Hardy, D. A. Bonn, I. S. Elfimov, and A. Damascelli, Nat. Phys. 6, 905 (2010).

    Article  Google Scholar 

  46. D. LeBoeuf, N. Doiron-Leyraud, J. Levallois, R. Daou, J.-B. Bonnemaison, N. E. Hussey, L. Balicas, B. J. Ramshaw, R. Liang, D. A. Bonn, W. N. Hardy, S. Adachi, C. Proust, and L. Taillefer, Nature 450, 533 (2007).

    Article  ADS  Google Scholar 

  47. S. Badoux, W. Tabis, F. Laliberte, G. Grissonnanche, B. Vignolle, D. Vignolles, J. Beard, D. A. Bonn, W. N. Hardy, R. Liang, N. Doiron-Leyraud, L. Taillefer, and C. Proust, Nature 531, 210 (2016).

    Article  ADS  Google Scholar 

  48. J. Chang, R. Daou, C. Proust, D. LeBoeuf, N. Doiron-Leyraud, F. Laliberte, B. Pingault, B. J. Ramshaw, R.Liang, D. A. Bonn, W. N. Hardy, H. Takagi, A. B. Antunes, I. Sheikin, K. Behnia, and L. Taillefer, Phys. Rev. Lett. 104, 057005 (2010).

    Article  ADS  Google Scholar 

  49. M. V. Kartsovnik, P. D. Grigoriev, W. Biberacher, N. D. Kushch, and P. Wyder, Phys. Rev. Lett. 89, 126802 (2002).

    Article  ADS  Google Scholar 

  50. P. D. Grigoriev, Phys. Rev. B 67, 144401 (2003); arXiv:cond-mat/0204270.

    Article  ADS  Google Scholar 

  51. P. D. Grigoriev, A. A. Sinchenko, P. Lejay, A. Hadj-Azzem, J. Balay, O. Leynaud, V. N. Zverev, and P. Monceau, Eur. Phys. J. B 89, 151 (2016).

    Article  ADS  Google Scholar 

  52. R. B. Dingle, Proc. R. Soc. A 211, 517 (1952).

    Article  ADS  Google Scholar 

  53. Yu. A. Bychkov, Sov. Phys. JETP 12, 977 (1961).

    Google Scholar 

  54. V. M. Gvozdikov, Sov. Phys. Solid State 26, 1560 (1984).

    Google Scholar 

  55. T. Champel and V. P. Mineev, Philos. Mag. B 81, 55 (2001).

    Article  ADS  Google Scholar 

  56. M. V. Kartsovnik, P. A. Kononovich, V. N. Laukhin, and I. F. Shchegolev, JETP Lett. 48, 541 (1988).

    ADS  Google Scholar 

  57. R. Yagi, Y. Iye, T. Osada, and S. Kagoshima, J. Phys. Soc. Jpn. 59, 3069 (1990).

    Article  ADS  Google Scholar 

  58. K. Yamaji, J. Phys. Soc. Jpn. 58, 1520 (1989).

    Article  ADS  Google Scholar 

  59. O. K. Andersen, A. I. Liechtenstein, O. Jepsen, and F. Paulsen, J. Phys. Chem. Solids 56, 1573 (1995).

    Article  ADS  Google Scholar 

  60. C. Bergemann, S. R. Julian, A. P. Mackenzie, S. Nishi Zaki, and Y. Maeno, Phys. Rev. Lett. 84, 2662 (2000).

    Article  ADS  Google Scholar 

  61. P. D. Grigoriev, Phys. Rev. B 81, 205122 (2010).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia

    P. D. Grigoriev

  2. National University of Science and Technology MISiS, Moscow, 119049, Russia

    P. D. Grigoriev

  3. Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991, Russia

    P. D. Grigoriev

  4. Institut Laue-Langevin, Grenoble Cedex 9, 38042, France

    T. Ziman

  5. LPMMC (UMR 5493), Université de Grenobles-Alpes and CNRS, Maison des Magistères, Grenoble Cedex 9, 38042, France

    T. Ziman

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Grigoriev, P.D., Ziman, T. Slow quantum oscillations without fine-grained Fermi surface reconstruction in cuprate superconductors. Jetp Lett. 106, 371–377 (2017). https://doi.org/10.1134/S0021364017180023

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