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Dynamical magnetic breakdown and quantum oscillations from hot-spot scattering

Léo Mangeolle and Johannes Knolle

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Phys. Rev. B 113, 245132 – Published 15 June, 2026

DOI: https://doi.org/10.1103/ytcj-6zkg

Abstract

Quantum oscillations (QOs) are a well-established probe of Fermi-surface (FS) geometry and in the presence of long-range density wave order can display new QO frequencies from reconstructed FS pockets. We show that such reconstructed frequencies can arise even in the absence of long-range density order. Considering electrons coupled to a fluctuating bosonic mode that scatters quasiparticles between sharp hot spots on the FS, we develop a semiclassical theory in which the interaction generates time-dependent tunneling processes analogous to magnetic breakdown. This dynamical magnetic breakdown produces new semiclassical orbits corresponding to reconstructed FS areas despite the absence of static order. Because tunneling probabilities depend on the thermal population of bosonic excitations, the resulting oscillation amplitudes exhibit characteristic deviations from standard Lifshitz-Kosevich behavior. Our results provide a mechanism to probe bosonic fluctuations in quantum critical metals and provide a framework for dynamical magnetic breakdown.

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References (66)

  1. A. B. Pippard, Experimental analysis of the electronic structure of metals, Rep. Prog. Phys. 23, 176 (1960).
  2. D. Shoenberg, Magnetic Oscillations in Metals (Cambridge University Press, Cambridge, 1984).
  3. A. Alexandradinata and L. Glazman, Fermiology of topological metals, Annu. Rev. Condens. Matter Phys. 14, 261 (2023).
  4. I. M. Lifshitz et al., Anomalies of electron characteristics of a metal in the high pressure region, Sov. Phys. JETP 11, 1130 (1960).
  5. A. W. Overhauser, Spin density waves in an electron gas, Phys. Rev. 128, 1437 (1962).
  6. J. A. Hertz, Quantum critical phenomena, Phys. Rev. B 14, 1165 (1976).
  7. P. Monthoux, A. V. Balatsky, and D. Pines, Toward a theory of high-temperature superconductivity in the antiferromagnetically correlated cuprate oxides, Phys. Rev. Lett. 67, 3448 (1991).
  8. S. Sachdev, A. V. Chubukov, and A. Sokol, Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions, Phys. Rev. B 51, 14874 (1995).
  9. D. Pines, Nearly antiferromagnetic Fermi liquids: A progress report, Z. Phys. B 103, 129 (1996).
  10. N. Doiron-Leyraud, C. Proust, D. LeBoeuf, J. Levallois, J.-B. Bonnemaison, R. Liang, D. A. Bonn, W. N. Hardy, and L. Taillefer, Quantum oscillations and the Fermi surface in an underdoped high-t c superconductor, Nature (London) 447, 565 (2007).
  11. S. Chakravarty and H.-Y. Kee, Fermi pockets and quantum oscillations of the Hall coefficient in high-temperature superconductors, Proc. Natl. Acad. Sci. USA 105, 8835 (2008).
  12. S. E. Sebastian, N. Harrison, and G. G. Lonzarich, Towards resolution of the Fermi surface in underdoped high-tc superconductors, Rep. Prog. Phys. 75, 102501 (2012).
  13. S. E. Sebastian and C. Proust, Quantum oscillations in hole-doped cuprates, Annu. Rev. Condens. Matter Phys. 6, 411 (2015).
  14. S. E. Sebastian, J. Gillett, N. Harrison, P. H. C. Lau, D. J. Singh, C. H. Mielke, and G. G. Lonzarich, Quantum oscillations in the parent magnetic phase of an iron arsenide high temperature superconductor, J. Phys.: Condens. Matter 20, 422203 (2008).
  15. A. Carrington, Quantum oscillation studies of the Fermi surface of iron-pnictide superconductors, Rep. Prog. Phys. 74, 124507 (2011).
  16. E. Hassinger, G. Knebel, T. D. Matsuda, D. Aoki, V. Taufour, and J. Flouquet, Similarity of the Fermi surface in the hidden order state and in the antiferromagnetic state of URu2Si2, Phys. Rev. Lett. 105, 216409 (2010).
  17. H. Shishido, K. Hashimoto, T. Shibauchi, T. Sasaki, H. Oizumi, N. Kobayashi, T. Takamasu, K. Takehana, Y. Imanaka, T. D. Matsuda, et al., Possible phase transition deep inside the hidden order phase of ultraclean URu2Si2, Phys. Rev. Lett. 102, 156403 (2009).
  18. A. Allais, D. Chowdhury, and S. Sachdev, Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates, Nat. Commun. 5, 5771 (2014).
  19. V. Leeb, N. Huber, C. Pfleiderer, J. Knolle, and M. A. Wilde, A field guide to non-Onsager quantum oscillations in metals, Adv. Phys. Res. 4, 2400134 (2025).
  20. J. Knolle and N. R. Cooper, Quantum oscillations without a Fermi surface and the anomalous de Haas–van Alphen effect, Phys. Rev. Lett. 115, 146401 (2015).
  21. J. Knolle and N. R. Cooper, Anomalous de Haas–van Alphen effect in InAs/GaSb quantum wells, Phys. Rev. Lett. 118, 176801 (2017).
  22. A. Allocca and N. R. Cooper, Quantum oscillations in interaction-driven insulators, SciPost Phys. 12, 123 (2022).
  23. L. Mangeolle and J. Knolle, Anomalous quantum oscillations from boson-mediated interband scattering, Phys. Rev. Lett. 134, 146502 (2025).
  24. V. Leeb and J. Knolle, Theory of difference-frequency quantum oscillations, Phys. Rev. B 108, 054202 (2023).
  25. N. Huber, V. Leeb, A. Bauer, G. Benka, J. Knolle, C. Pfleiderer, and M. A. Wilde, Quantum oscillations of the quasiparticle lifetime in a metal, Nature (London) 621, 276 (2023).
  26. M. Fowler and R. E. Prange, Electron-phonon renormalization effects in high magnetic fields, Phys. Phys. Fiz. 1, 315 (1965).
  27. S. Engelsberg and G. Simpson, Influence of electron-phonon interactions on the de Haas-van Alphen effect, Phys. Rev. B 2, 1657 (1970).
  28. L. Onsager, Interpretation of the de Haas–van Alphen effect, London, Edinburgh, Dublin Philos. Mag. J. Sci. 43, 1006 (1952).
  29. I. M. Lifshitz and A. M. Kosevich, Theory of magnetic susceptibility in metals at low temperatures, Sov. Phys. JETP 2, 636 (1956).
  30. S. Sachdev, Quantum Phase Transitions, 2nd ed. (Cambridge University Press, Cambridge, 2011).
  31. A. r. Abanov, A. V. Chubukov, and J. Schmalian, Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis, Adv. Phys. 52, 119 (2003).
  32. B. L. Altshuler, A. G. Aronov, and D. E. Khmelnitsky, Effects of electron-electron collisions with small energy transfers on quantum localisation, J. Phys. C 15, 7367 (1982).
  33. I. L. Aleiner, B. L. Altshuler, and M. E. Gershenson, Interaction effects and phase relaxation in disordered systems, Waves Random Media 9, 201 (1999).
  34. A. Kampf and J. R. Schrieffer, Pseudogaps and the spin-bag approach to high-t c superconductivity, Phys. Rev. B 41, 6399 (1990).
  35. D. V. Khveshchenko and P. C. E. Stamp, Low-energy properties of two-dimensional fermions with long-range current-current interactions, Phys. Rev. Lett. 71, 2118 (1993).
  36. M. Franz and A. J. Millis, Phase fluctuations and spectral properties of underdoped cuprates, Phys. Rev. B 58, 14572 (1998).
  37. A. B. Migdal, Interaction between electrons and lattice vibrations in a normal metal, Sov. Phys. JETP 7, 996 (1958).
  38. E. I. Blount, Bloch electrons in a magnetic field, Phys. Rev. 126, 1636 (1962).
  39. M. V. Berry and K. E. Mount, Semiclassical approximations in wave mechanics, Rep. Prog. Phys. 35, 315 (1972).
  40. M. Grifoni and P. Hänggi, Driven quantum tunneling, Phys. Rep. 304, 229 (1998).
  41. B. I. Ivlev and V. I. Mel'nikov, Stimulation of tunneling by a high-frequency field: Decay of the zero-voltage state in Josephson junctions, Phys. Rev. Lett. 55, 1614 (1985).
  42. A. Kamenev, Field Theory of Non-Equilibrium Systems (Cambridge University Press, Cambridge, 2011).
  43. E. O. Kane, Zener tunneling in semiconductors, J. Phys. Chem. Solids 12, 181 (1960).
  44. M. Y. Azbel, Quasiclassical quantization in the neighborhood of singular classical trajectories, Sov. Phys. JETP 12, 891 (1961).
  45. M. Y. Azbel, Energy spectrum of a conduction electron in a magnetic field, Sov. Phys. JETP 19, 634 (1964).
  46. L. C. Davis and S. H. Liu, Landau spectrum and line broadening in real metals, Phys. Rev. 158, 689 (1967).
  47. A. A. Slutskin, Dynamics of conduction electrons under magnetic breakdown conditions, Sov. Phys. JETP 26, 474 (1968).
  48. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Vol. 3 (Pergamon Press, New York, 1965).
  49. A. B. Pippard, Quantization of coupled orbits in metals I. Proc. R. Soc. London A 270, 1 (1962).
  50. A. B. Pippard, Quantization of coupled orbits in metals II. The two-dimensional network, with special reference to the properties of zinc, Philos. Trans. R. Soc. A 256, 317 (1964).
  51. J. B. Keller, Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems, Ann. Phys. 4, 180 (1958).
  52. L. M. Roth, Semiclassical theory of magnetic energy levels and magnetic susceptibility of Bloch electrons, Phys. Rev. 145, 434 (1966).
  53. R. G. Chambers, Magnetic breakdown in real metals, Proc. Phys. Soc. 88, 701 (1966).
  54. L. M. Falicov and H. Stachowiak, Theory of the de Haas-van Alphen effect in a system of coupled orbits. Application to magnesium, Phys. Rev. 147, 505 (1966).
  55. S. E. Sebastian, N. Harrison, M. M. Altarawneh, C. H. Mielke, R. Liang, D. A. Bonn, W. N. Hardy, and G. G. Lonzarich, Metal-insulator quantum critical point beneath the high Tc superconducting dome, Proc. Natl. Acad. Sci. 107, 6175 (2010).
  56. G. W. Martin, D. L. Maslov, and M. Y. Reizer, Quantum magneto-oscillations in a two-dimensional Fermi liquid, Phys. Rev. B 68, 241309(R) (2003).
  57. P. A. Nosov, Y.-M. Wu, and S. Raghu, Entropy and de Haas–van Alphen oscillations of a three-dimensional marginal Fermi liquid, Phys. Rev. B 109, 075107 (2024).
  58. F. D. M. Haldane, Berry curvature on the Fermi surface: Anomalous Hall effect as a topological Fermi-liquid property, Phys. Rev. Lett. 93, 206602 (2004).
  59. K. Yamaji, On the angle dependence of the magnetoresistance in quasi-two-dimensional organic superconductors, J. Phys. Soc. Jpn. 58, 1520 (1989).
  60. M. K. Chan, K. A. Schreiber, O. E. Ayala-Valenzuela, E. D. Bauer, A. Shekhter, and N. Harrison, Observation of the Yamaji effect in a cuprate superconductor, Nat. Phys. 21, 1753 (2025).
  61. J.-Y. Zhao, S. Chatterjee, S. Sachdev, and Y.-H. Zhang, Yamaji effect in models of underdoped cuprates, arXiv:2510.13943.
  62. Z. E. Krix, O. A. Tkachenko, V. A. Tkachenko, D. Q. Wang, O. Klochan, A. R. Hamilton, and O. P. Sushkov, Quantum magnetic oscillations in the absence of closed electron trajectories, arXiv:2404.04592.
  63. A. Alexandradinata and L. Glazman, Semiclassical theory of Landau levels and magnetic breakdown in topological metals, Phys. Rev. B 97, 144422 (2018).
  64. A. Alexandradinata and L. Glazman, Geometric phase and orbital moment in quantization rules for magnetic breakdown, Phys. Rev. Lett. 119, 256601 (2017).
  65. F. J. Dyson, Divergence of perturbation theory in quantum electrodynamics, Phys. Rev. 85, 631 (1952).
  66. C. A. Hurst, An example of a divergent perturbation expansion in field theory, in Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 48 (Cambridge University Press, Cambridge, 1952), pp. 625–639.

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Phys. Rev. B 113, 245132– Published 15 June, 2026
  • Received 28 March 2026
  • Revised 19 May 2026
  • Accepted 3 June 2026
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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.

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