Quantum acoustics: the coherent state formalism for electron-lattice interaction

ORAL

Abstract

The electron-lattice interplay is a linchpin in numerous solid-state phenomena. However, lattice vibrations have been (almost) exclusively considered within the phonon and number state framework, neglecting their dual description emphasizing the wave aspect. To address this limitation, we have developed the coherent state picture of lattice vibrations, following the development of quantum optics. This formalism offers an intuitive and powerful methodology for understanding the interaction between electrons and the lattice in real space. In particular, by means of quantum-acoustical theory, we have been able to treat the electron-lattice interaction nonperturbatively and coherently. While our results align with those obtained through perturbation theory in the weak-coupling regime, we find that nonperturbative coherence effects can be the key to some of the most puzzling enigmas in condensed matter, such as the mysteries of universal Planckian resistivity and temperature-dependent Drude peak shift in strange metals.

* J.K.-R. thanks the Emil Aaltonen Foundation, the Vaisala Foudation and the Oskar Huttunen Foundation for financial support. A.M.G. thanks the Harvard Quantum Initiative for financial support. S.Y. and X.O. thanks School of Phyics, Peking University for financial support.

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Publication: D. Kim, A. Aydin, A. Daza, K.N. Avanaki, J. Keski-Rahkonen, E.J. Heller, Phys. Rev. B 106, 054311 (2022)

A. Aydin, D.Kim, J. Keski-Rahkonen, and E.J. Heller, Quantum Acoustics Spawns Planckian Resistivity (arXiv:2303.06077v2)

J. Keski-Rahkonen, X. Ouyang, S. Yuan, A.M. Graf, A. Aydin, and E.J. Heller, Quantum-Acoustical Drude Peak Shift (In preparation)

Presenters

  • Shaobing Yuan

    Peking University, Peking Univ

Authors

  • Shaobing Yuan

    Peking University, Peking Univ

  • Xiaoyu Ouyang

    Department of Physics, Harvard University, Harvard University, Cambridge, MA 02138, USA, Peking University

  • Joonas Keski-Rahkonen

    Harvard University

  • Alhun Aydin

    Sabanci University

  • Anton M Graf

    Department of Physics, Harvard University, Harvard University, Cambridge, MA 02138, USA, Harvard University

  • Eric J Heller

    Department of Physics, Harvard University, Harvard University, Cambridge, MA 02138, USA, Harvard University