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Joule—Thomson Cooling in Graphene

Abstract

Electrons in graphene exhibit hydrodynamic behavior in a certain range of temperatures. We indicate that in this regime electric current can result in cooling of electron fluid due to the Joule-Thomson effect. Cooling occurs in the Fermi-liquid regime, while for the Dirac fluid the effect results in heating.

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References

  1. 1.

    R. Gurzhi, Sov. Phys. JETP 17, 521 (1963).

  2. 2.

    I. Torre, A. Tomadin, A. K. Geim, and M. Polini, Phys. Rev. B 92, 165433 (2015); 1508.00363.

  3. 3.

    L. Levitov and G. Falkovich, Nat. Phys. 12, 672 (2016); 1508.00836.

  4. 4.

    D. A. Bandurin, I. Torre, R. K. Kumar, M. Ben Shalom, A. Tomadin, A. Principi, G. H. Auton, E. Khestanova, K. S. Novoselov, I. V. Grigorieva, L. A. Ponomarenko, A. K. Geim, and M. Polini, Science 351, 1055 (2016); 1509.04165.

  5. 5.

    J. Crossno, J. K. Shi, K. Wang, X. Liu, A. Harzheim, A. Lucas, S. Sachdev, P. Kim, T. Taniguchi, K. Watanabe, T. A. Ohki, and K. C. Fong, Science 351, 1058 (2016); 1509.04713.

  6. 6.

    R. Krishna Kumar, D. A. Bandurin, F. M. D. Pellegrino et al. (Collaboration), Nat. Phys. 13, 1182 (2017); 1703.06672.

  7. 7.

    D. A. Bandurin, A. V. Shytov, L. S. Levitov, R. K. Kumar, A. I. Berdyugin, M. Ben Shalom, I. V. Grigorieva, A. K. Geim, and G. Falkovich, Nat. Commun. 9, 4533 (2018); 1806.03231.

  8. 8.

    P. J. W. Moll, P. Kushwaha, N. Nandi, B. Schmidt, and A. P. Mackenzie, Science 351, 1061 (2016); 1509.05691.

  9. 9.

    J. Gooth, F. Menges, N. Kumar, V. Sü, C. Shekhar, Y. Sun, U. Drechsler, R. Zierold, C. Felser, and B. Gotsmann, Nat. Commun. 9, 4093 (2018); 1706.05925.

  10. 10.

    H. Guo, E. Ilseven, G. Falkovich, and L. S. Levitov, Proc. Natl. Acad. Sci. USA 114, 3068 (2017); 1607.07269.

  11. 11.

    A. Lucas, J. Crossno, K. C. Fong, P. Kim, and S. Sachdev, Phys. Rev. B 93, 075426 (2016); 1510.01738.

  12. 12.

    A. Lucas, R. A. Davison, and S. Sachdev, Proc. Natl. Acad. Sci. USA 113, 9463 (2016); 1604.08598.

  13. 13.

    A. Lucas and K. Ch. Fong, J. Phys. Condens. Matter 30, 053001 (2018); 1710.08425.

  14. 14.

    B. N. Narozhny, I. V. Gornyi, A. D. Mirlin, and J. Schmalian, Ann. der Phys. 529, 1700043 (2017); 1704.03494.

  15. 15.

    B. N. Narozhny, Ann. Phys. 411, 167979 (2019); 1905.09686.

  16. 16.

    W. Thomson and J. P. Joule, Philos. Trans. R. Soc. London 143, 357 (1853).

  17. 17.

    F. Vischi, M. Carrega, A. Braggio, F. Paolucci, F. Bianco, S. Roddaro, and F. Giazotto, 1906.10988.

  18. 18.

    M. S. Foster and I. L. Aleiner, Phys. Rev. B 79, 085415 (2009); 0810.4342.

  19. 19.

    E. I. Kiselev and J. Schmalian, Phys. Rev. B 99, 035430 (2019); 1806.03933.

  20. 20.

    G. Falkovich and L. Levitov, Phys. Rev. Lett. 119, 066601 (2017); 1607.00986.

  21. 21.

    J. Erdmenger, I. Matthaiakakis, R. Meyer, and D. R. Fernández, Phys. Rev. B 98, 195143 (2018); 1806.10635.

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Author information

Correspondence to K. Zarembo.

Additional information

The author would like to thank A. Balatsky and G. Falkovich for discussions. This work was supported by the Swedish Research Council (VR) grant 2013-4329, by the grant “Exact Results in Gauge and String Theories” from the Knut and Alice Wallenberg foundation, and by Russian Foundation for Basic Research grant 18-01-00460A.

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Zarembo, K. Joule—Thomson Cooling in Graphene. Jetp Lett. (2020). https://doi.org/10.1134/S0021364020030030

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