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  • Letter
  • Open Access

Shot noise and universal Fano factor as a characterization of strongly correlated metals

Yiming Wang1, Chandan Setty1,2,3, Shouvik Sur1, Liyang Chen1, Silke Paschen4, Douglas Natelson1, and Qimiao Si1

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Phys. Rev. Research 6, L042045 – Published 21 November, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L042045

Abstract

Shot noise measures out-of-equilibrium current fluctuations and is a powerful tool to probe the nature of current-carrying excitations in quantum systems. Recent shot-noise measurements in the heavy-fermion strange metal YbRh2Si2 exhibit a strong suppression of the Fano factor (F)—the ratio of the current noise to the average current in the dc limit. This system is representative of metals in which electron correlations are extremely strong. Here we carry out the first theoretical study on the shot noise of diffusive metals in the regime of strong correlations. A Boltzmann-Langevin equation formulation is constructed in a quasiparticle description in the presence of strong correlations. We find that F=3/4 in such a correlation regime. Thus, we establish the aforementioned Fano factor as universal to Fermi liquids, and we show that the Fano factor suppression observed in experiments on YbRh2Si2 necessitates a loss of the quasiparticles. Our work opens the door to systematic theoretical studies of shot noise as a means of characterizing strongly correlated metallic phases and materials.

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References (38)

  1. B. Keimer and J. E. Moore, The physics of quantum materials, Nat. Phys. 13, 1045 (2017).
  2. S. Paschen and Q. Si, Quantum phases driven by strong correlations, Nat. Rev. Phys. 3, 9 (2021).
  3. H. Hu, L. Chen, and Q. Si, Quantum critical metals and loss of quasiparticles, arXiv:2210.14183 [Nat. Phys. (to be published)].
  4. P. W. Phillips, N. E. Hussey, and P. Abbamonte, Stranger than metals, Science 377, eabh4273 (2022).
  5. S. Kirchner, S. Paschen, Q. Chen, S. Wirth, D. Feng, J. D. Thompson, and Q. Si, Colloquium: Heavy-electron quantum criticality and single-particle spectroscopy, Rev. Mod. Phys. 92, 011002 (2020).
  6. P. Coleman and A. J. Schofield, Quantum criticality, Nature (London) 433, 226 (2005).
  7. G. R. Stewart, Non-Fermi-liquid behavior in d- and f-electron metals, Rev. Mod. Phys. 73, 797 (2001).
  8. Q. Si, S. Rabello, K. Ingersent, and J. Smith, Locally critical quantum phase transitions in strongly correlated metals, Nature (London) 413, 804 (2001).
  9. P. Coleman, C. Pépin, Q. Si, and R. Ramazashvili, How do Fermi liquids get heavy and die? J. Phys.: Condens. Matter 13, R723 (2001).
  10. T. Senthil, M. Vojta, and S. Sachdev, Weak magnetism and non-Fermi liquids near heavy-fermion critical points, Phys. Rev. B 69, 035111 (2004).
  11. S. Paschen, T. Lühmann, S. Wirth, P. Gegenwart, O. Trovarelli, C. Geibel, F. Steglich, P. Coleman, and Q. Si, Hall-effect evolution across a heavy-fermion quantum critical point, Nature (London) 432, 881 (2004).
  12. S. Friedemann, N. Oeschler, S. Wirth, C. Krellner, C. Geibel, F. Steglich, S. Paschen, S. Kirchner, and Q. Si, Fermi-surface collapse and dynamical scaling near a quantum-critical point, Proc. Natl. Acad. Sci. USA 107, 14547 (2010).
  13. H. Shishido, R. Settai, H. Harima, and Y. Ōnuki, A drastic change of the Fermi surface at a critical pressure in CeRhIn5: dHvA study under pressure, J. Phys. Soc. Jpn. 74, 1103 (2005).
  14. A. Schröder, G. Aeppli, R. Coldea, M. Adams, O. Stockert, H. v. Löhneysen, E. Bucher, R. Ramazashvili, and P. Coleman, Onset of antiferromagnetism in heavy-fermion metals, Nature (London) 407, 351 (2000).
  15. M. C. Aronson, R. Osborn, R. A. Robinson, J. W. Lynn, R. Chau, C. L. Seaman, and M.B. Maple, Non-Fermi-liquid scaling of the magnetic response in UCu5−xPdx(x=1,1.5), Phys. Rev. Lett. 75, 725 (1995).
  16. L. Prochaska, X. Li, D. C. MacFarland, A. M. Andrews, M. Bonta, E. F. Bianco, S. Yazdi, W. Schrenk, H. Detz, A. Limbeck, Q. Si, E. Ringe, G. Strasser, J. Kono, and S. Paschen, Singular charge fluctuations at a magnetic quantum critical point, Science 367, 285 (2020).
  17. G. V. Chester and A. Thellung, The law of Wiedemann and Franz, Proc. Phys. Soc. 77, 1005 (1961).
  18. C. Castellani, C. DiCastro, G. Kotliar, P. A. Lee, and G. Strinati, Thermal conductivity in disordered interacting-electron systems, Phys. Rev. Lett. 59, 477 (1987).
  19. Y. M. Blanter and M. Buttiker, Shot noise in mesoscopic conductors, Phys. Rep. 336, 1 (2000).
  20. K. Kobayashi and M. Hashisaka, Shot noise in mesoscopic systems: From single particles to quantum liquids, J. Phys. Soc. Jpn. 90, 102001 (2021).
  21. R. de-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Direct observation of a fractional charge, Phys. B: Condens. Matter 249-251, 395 (1998).
  22. L. Saminadayar, D. C. Glattli, Y. Jin, and B. Etienne, Observation of the e/3 fractionally charged Laughlin quasiparticle, Phys. Rev. Lett. 79, 2526 (1997).
  23. P. Zhou, L. Chen, Y. Liu, I. Sochnikov, A. T. Bollinger, M.-G. Han, Y. Zhu, X. He, I. Bozovic, and D. Natelson, Electron pairing in the pseudogap state revealed by shot noise in copper oxide junctions, Nature (London) 572, 493 (2019).
  24. K. M. Bastiaans, D. Chatzopoulos, J.-F. Ge, D. Cho, W. O. Tromp, J. M. van Ruitenbeek, M. H. Fischer, P. J. de Visser, D. J. Thoen, E. F. C. Driessen et al., Direct evidence for Cooper pairing without a spectral gap in a disordered superconductor above Tc, Science 374, 608 (2021).
  25. C. W. J. Beenakker and M. Buttiker, Suppression of shot noise in metallic diffusive conductors, Phys. Rev. B 46, 1889 (1992).
  26. K. E. Nagaev, On the shot noise in dirty metal contacts, Phys. Lett. A 169, 103 (1992).
  27. V. I. Kozub and A. M. Rudin, Shot noise in mesoscopic diffusive conductors in the limit of strong electron-electron scattering, Phys. Rev. B 52, 7853 (1995).
  28. K. E. Nagaev, Influence of electron-electron scattering on shot noise in diffusive contacts, Phys. Rev. B 52, 4740 (1995).
  29. L. Chen, D. T. Lowder, E. Bakali, A. M. Andrews, W. Schrenk, M. Waas, R. Svagera, G. Eguchi, L. Prochaska, Y. Wang, C. Setty, S. Sur, Q. Si, S. Paschen, and D. Natelson, Shot noise indicates the lack of quasiparticles in a strange metal, Science 382, 907 (2023).
  30. O. Betbeder-Matibet and P. Nozieres, Transport equation for quasiparticles in a system of interacting fermions colliding on dilute impurities, Ann. Phys. 37, 17 (1966).
  31. Sh. M. Kogan and A. Ya Shulman, Theory of fluctuations in a nonequilibrium electron gas, Sov. Phys. JETP 29, 104 (1969).
  32. L. P. Pitajewski and E. M. Lifschitz, Physical Kinetics, 1st ed. (Butterworth-Heinemann, Amsterdam, 1981), Vol. 10.
  33. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L042045 for (i) additional details for the derivation of the Boltzmann equations, (ii) local-equilibrium solution of the Boltzmann equation, (iii) further details on the fluctuations of the nonequilibrium Boltzmann-Langevin equations for a Fermi liquid, (iv) comparison with previous literature, and (v) estimation of the normalized mean free path in YbRh2Si2.
  34. C. L. Kane and M. P. A. Fisher, Nonequilibrium noise and fractional charge in the quantum Hall effect, Phys. Rev. Lett. 72, 724 (1994).
  35. K. E. Nagaev, Long-range Coulomb interaction and frequency dependence of shot noise in mesoscopic diffusive contacts, Phys. Rev. B 57, 4628 (1998).
  36. A. Nikolaenko, S. Sachdev, and A. A. Patel, Theory of shot noise in strange metals, Phys. Rev. Res. 5, 043143 (2023).
  37. T. C. Wu and M. S. Foster, Suppression of shot noise in a dirty marginal Fermi liquid, Phys. Rev. B 110, L081102 (2024).
  38. Y. Wang, S. Sur, C. Setty, and Q. Si, Shot noise in coupled electron-boson systems, arXiv:2404.14515.

Outline

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Phys. Rev. Research 6, L042045– Published 21 November, 2024
  • Received 22 November 2022
  • Accepted 25 October 2024
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