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arXiv · 2404.14079

Dynamical scaling and Planckian dissipation due to heavy-fermion quantum criticality

Andreas Gleis·Seung-Sup B. Lee·Gabriel Kotliar·Jan von Delft
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Abstract

We study dynamical scaling associated with a Kondo-breakdown quantum critical point (KB-QCP) of the periodic Anderson model, treated by two-site cellular dynamical mean-field theory (2CDMFT). In the quantum critical region, the staggered spin exhibits SYK-like slow dynamics and its dynamical susceptibility shows $\omega/T$ scaling. We propose a scaling Ansatz that describes this behavior. It also implies Planckian dissipation for the longest-lived excitations. The current susceptibility follows the same scaling ansatz, leading to strange-metal scaling. This demonstrates that the KB-QCP described by 2CDMFT is an intrinsic (i.e., disorder-free) strange-metal fixed point. Surprisingly, the SYK-like dynamics and scaling are driven by strong vertex contributions to the susceptibilities. Our results for the optical conductivity match experimental observations on YbRh${}_2$Si${}_2$ and CeCoIn${}_5$.

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Andreas Gleis, Seung-Sup B. Lee, Gabriel Kotliar, Jan von Delft. 2024-04-22. Dynamical scaling and Planckian dissipation due to heavy-fermion quantum criticality. https://arxiv.org/abs/2404.14079

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