- Physical Review Journals
All JournalsPhysics Magazine

Physical Review Materials

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Effects of dynamical screening on the BCS-BEC crossover in double bilayer graphene: Density functional theory for exciton bilayers

F. Nilsson* and F. Aryasetiawan

  • Department of Physics, Division of Mathematical Physics, Lund University, Professorsgatan 1, S-223 63 Lund, Sweden

  • *fredrik.nilsson@teorfys.lu.se
PDF

Phys. Rev. Materials 5, L050801 – Published 13 May, 2021

DOI: https://doi.org/10.1103/PhysRevMaterials.5.L050801

Abstract

We derive a gap equation for bilayer excitonic systems based on density functional theory and benchmark our results against quantum Monte Carlo simulations and recent experiments on double bilayer graphene. The gap equation has a mean-field form but includes a consistent treatment of dynamical screening. We show that the gap survives at much higher densities than previously thought from mean-field estimates which gives strong indications that the double-bilayer graphene systems at zero magnetic field can be used as model systems to investigate the BCS-BEC crossover. Furthermore, we show that Josephson-like transfer of pairs can be substantial for small band gaps and densities.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (36)

  1. G. W. Burg, N. Prasad, K. Kim, T. Taniguchi, K. Watanabe, A. H. MacDonald, L. F. Register, and E. Tutuc, Phys. Rev. Lett. 120, 177702 (2018).
  2. X. Liu, K. Watanabe, T. Taniguchi, B. I. Halperin, and P. Kim, Nat. Phys. 13, 746 (2017).
  3. J. Li, T. Taniguchi, K. Watanabe, J. Hone, and C. Dean, Nat. Phys. 13, 751 (2017).
  4. S. K. Banerjee, L. F. Register, E. Tutuc, D. Reddy, and A. H. MacDonald, IEEE Electron Device Lett. 30, 158 (2009).
  5. Y. E. Lozovik, S. L. Ogarkov, and A. A. Sokolik, Phys. Rev. B 86, 045429 (2012).
  6. A. Perali, D. Neilson, and A. R. Hamilton, Phys. Rev. Lett. 110, 146803 (2013).
  7. M. Zarenia, A. Perali, D. Neilson, and F. Peeters, Sci. Rep. 4, 7319 (2014).
  8. D. Neilson, A. Perali, and A. R. Hamilton, Phys. Rev. B 89, 060502(R) (2014).
  9. S. Conti, A. Perali, F. M. Peeters, and D. Neilson, Phys. Rev. Lett. 119, 257002 (2017).
  10. S. Conti, A. Perali, F. M. Peeters, and D. Neilson, Phys. Rev. B 99, 144517 (2019).
  11. S. Conti, A. Perali, F. M. Peeters, and D. Neilson, Condensed Matter 6, 14 (2021).
  12. S. De Palo, F. Rapisarda, and G. Senatore, Phys. Rev. Lett. 88, 206401 (2002).
  13. R. Maezono, P. López Ríos, T. Ogawa, and R. J. Needs, Phys. Rev. Lett. 110, 216407 (2013).
  14. P. López Ríos, A. Perali, R. J. Needs, and D. Neilson, Phys. Rev. Lett. 120, 177701 (2018).
  15. I. Sodemann, D. A. Pesin, and A. H. MacDonald, Phys. Rev. B 85, 195136 (2012).
  16. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevMaterials.5.L050801 for a detailed derivation of the gap equation (Eq. (15)) as well as details on the numerical implementation. We also provide additional results related to the temperature dependence of the superfluid gap as well as the frequency dependence of the screened electron-hole interaction.
  17. B. Partoens and F. M. Peeters, Phys. Rev. B 74, 075404 (2006).
  18. E. McCann and M. Koshino, Rep. Prog. Phys. 76, 056503 (2013).
  19. A. B. Kuzmenko, I. Crassee, D. van der Marel, P. Blake, and K. S. Novoselov, Phys. Rev. B 80, 165406 (2009).
  20. R. W. Godby, M. Schlüter, and L. J. Sham, Phys. Rev. Lett. 56, 2415 (1986).
  21. R. W. Godby, M. Schlüter, and L. J. Sham, Phys. Rev. B 35, 4170 (1987).
  22. R. W. Godby, M. Schlüter, and L. J. Sham, Phys. Rev. B 36, 6497 (1987).
  23. M. Lüders, M. A. L. Marques, N. N. Lathiotakis, A. Floris, G. Profeta, L. Fast, A. Continenza, S. Massidda, and E. K. U. Gross, Phys. Rev. B 72, 024545 (2005).
  24. M. Lüders and E. Gross, Ph.D. thesis, Bayerischen Julius-Maximilians-Universität Würzburg, 1999.
  25. M. Marques and E. Gross, Ph.D. thesis, Bayerischen Julius-Maximilians-Universität Würzburg, 2000.
  26. Y. E. Lozovik and A. Sokolik, Eur. Phys. J. B 73, 195 (2010).
  27. P. Kumar, Y. S. Chauhan, A. Agarwal, and S. Bhowmick, J. Phys. Chem. C 120, 17620 (2016).
  28. R. Akashi and R. Arita, Phys. Rev. Lett. 111, 057006 (2013).
  29. Computer code matsubarasum, https://github.com/EverettYou/MatsubaraSum.
  30. M. Casula, P. Werner, L. Vaugier, F. Aryasetiawan, T. Miyake, A. J. Millis, and S. Biermann, Phys. Rev. Lett. 109, 126408 (2012).
  31. T. Ohta, A. Bostwick, T. Seyller, K. Horn, and E. Rotenberg, Science 313, 951 (2006).
  32. H. Min, B. Sahu, S. K. Banerjee, and A. H. MacDonald, Phys. Rev. B 75, 155115 (2007).
  33. E. V. Castro, K. S. Novoselov, S. V. Morozov, N. M. R. Peres, J. M. B. Lopes dos Santos, J. Nilsson, F. Guinea, A. K. Geim, and A. H. Castro Neto, Phys. Rev. Lett. 99, 216802 (2007).
  34. J. B. Oostinga, H. B. Heersche, X. Liu, A. F. Morpurgo, and L. M. Vandersypen, Nat. Mater. 7, 151 (2008).
  35. J. M. Kosterlitz and D. J. Thouless, J. Phys. C: Solid State Phys. 6, 1181 (1973).
  36. N. Prasad (2020) (private communication).

Outline

Information

Phys. Rev. Materials 5, L050801– Published 13 May, 2021
  • Received 22 January 2021
  • Accepted 29 April 2021
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by Bibsam.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation