Published May 26, 2022 | Version Submitted
Discussion Paper Open

Is the optical conductivity of heavy fermion strange metals Planckian?

Abstract

Strange metal behavior appears across a variety of condensed matter settings and beyond, and achieving a universal understanding is an exciting prospect. The beyond-Landau quantum criticality of Kondo destruction has had considerable success in describing the behavior of strange metal heavy fermion compounds, and there is some evidence that the associated partial localization-delocalization nature can be generalized to diverse materials classes. Other potential overarching principles at play are also being explored. An intriguing proposal is that Planckian scattering, with a rate of k_BT/ℏ, captures the linear temperature dependence of the (dc) electrical resistivity, which is a hallmark of strange metal behavior. Here we extend a previously introduced analysis scheme based of the Drude description of the dc resistivity to optical conductivity data. When they are well described by a simple (ac) Drude model, the scattering rate can be directly extracted. This avoids the need to determine the ratio of charge carrier concentration to effective mass, which has complicated previous analyses based on the dc resistivity. However, we point out that strange metals may exhibit strong deviations from Drude behavior, as exemplified by the "extreme" strange metal YbRh₂Si₂. This calls for alternative approaches, and we point to the power of scaling relationships in terms of temperature and energy (or frequency).

Additional Information

We acknowledge fruitful discussion with Patrick Lee, Marc Scheffler, T. Senthil, Mathieu Taupin, and Eric van Heumen. XL acknowledges support from the Caltech Postdoctoral Prize Fellowship and the IQIM. JK acknowledges support from the Robert A. Welch Foundation through Grant No. C-1509. QS acknowledges support from the Air Force Office of Scientific Research under Grant No. FA9550-21-1-0356 and the Robert A. Welch Foundation under Grant No. C-1411. SP acknowledges funding from the European Union's Horizon 2020 Research and Innovation Programme under Grant Agreement no 824109 and from the Austrian Science Fund (FWF Grants 29296-N27 and I5868-N–FOR 5249 - QUAST). SP and QS acknowledge the hospitality of the Aspen Center for Physics, which is supported by NSF grant No. PHY-1607611. AUTHOR CONTRIBUTIONS. XL performed the Drude analyses, SP conceived the work and wrote the paper, with input from XL, JK, and QS. All authors contributed to the discussion. The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

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Additional details

Identifiers

Eprint ID
115410
Resolver ID
CaltechAUTHORS:20220707-204118082

Related works

Funding

Caltech Postdoctoral Fellowship
Institute for Quantum Information and Matter (IQIM)
Robert A. Welch Foundation
C-1509
Air Force Office of Scientific Research (AFOSR)
FA9550-21-1-0356
Robert A. Welch Foundation
C-1411
European Research Council (ERC)
824109
FWF Der Wissenschaftsfonds
29296-N27
FWF Der Wissenschaftsfonds
I5868-N–FOR 5249
NSF
PHY-1607611

Dates

Created
2022-07-08
Created from EPrint's datestamp field
Updated
2023-06-02
Created from EPrint's last_modified field

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