Quantum acoustics unravels Planckian resistivity

Abstract

Strange metals exhibit universal linear-in-temperature resistivity described by a Planckian scattering rate, the origin of which remains elusive. By employing a novel approach inspired by quantum optics, we arrive at the coherent state representation of lattice vibrations: quantum acoustics. Utilizing this nonperturbative framework, we demonstrate that lattice vibrations could serve as active drivers in the Planckian resistivity phenomenon, challenging prevailing theories. By treating charge carriers as quantum wave packets negotiating the dynamic acoustic field, we find that a competition ensues between localization and delocalization giving rise to the previously conjectured universal quantum bound of diffusion, $\hslash /m^{\ast }$, independent of temperature or any other material parameters. This leads to the enigmatic $T$-linear resistivity over hundreds of degrees, except at very low temperatures. Quantum diffusion also explains why strange metals have much higher electrical resistivity than typical metals. Our work elucidates the critical role of phonons in Planckian resistivity from a new perspective and reconsiders their significance in the transport properties of strange metals.

15 pages, 4 figures

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Cited by in corpus (7)

• Precursors to Anderson Localization in the Holstein Model: Quantum and Quantum-Classical Solutions
• Theory of phonon spectroscopy with the quantum twisting microscope
• The Lorenz ratio as a guide to scattering contributions to Planckian transport
• Polaron catastrophe within quantum acoustics
• Quantum birthmarks: Ergodicity breaking beyond scarring
• Quantum-classical study of charge transport in organic semiconductors with multiple low-frequency vibrational modes
• Path-Integral Approach to Quantum Acoustics