Dynamical scaling and Planckian dissipation due to heavy-fermion quantum criticality
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929323990056960 |
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| author | Gleis, Andreas Lee, Seung-Sup B. Kotliar, Gabriel von Delft, Jan |
| author_facet | Gleis, Andreas Lee, Seung-Sup B. Kotliar, Gabriel von Delft, Jan |
| contents | 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 $ω/T$ 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${}_5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14079 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical scaling and Planckian dissipation due to heavy-fermion quantum criticality Gleis, Andreas Lee, Seung-Sup B. Kotliar, Gabriel von Delft, Jan Strongly Correlated Electrons 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 $ω/T$ 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${}_5$. |
| title | Dynamical scaling and Planckian dissipation due to heavy-fermion quantum criticality |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2404.14079 |