Dielectric anomalies and interactions in the three-dimensional quadratic band touching Luttinger semimetal Pr2Ir2O7

Bing Cheng, T. Ohtsuki, Dipanjan Chaudhuri, S. Nakatsuji, Mikk Lippmaa and N. P. Armitage ()
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Bing Cheng: The Johns Hopkins University
T. Ohtsuki: The University of Tokyo
Dipanjan Chaudhuri: The Johns Hopkins University
S. Nakatsuji: The University of Tokyo
Mikk Lippmaa: The University of Tokyo
N. P. Armitage: The Johns Hopkins University

Nature Communications, 2017, vol. 8, issue 1, 1-6

Abstract: Abstract Dirac and Weyl semimetals with linearly crossing bands are the focus of much recent interest in condensed matter physics. Although they host fascinating phenomena, their physics can be understood in terms of weakly interacting electrons. In contrast, more than 40 years ago, Abrikosov pointed out that quadratic band touchings are generically strongly interacting. We have performed terahertz spectroscopy on the films of the conducting pyrochlore Pr2Ir2O7, which has been shown to host a quadratic band touching. A dielectric constant as large as $$\tilde{ \varepsilon} {\mathrm{/}}\epsilon _0 \sim 180$$ ε ̃ ∕ ϵ 0 ~ 180 is observed at low temperatures. In such systems, the dielectric constant is a measure of the relative scale of interactions, which are therefore in our material almost two orders of magnitude larger than the kinetic energy. Despite this, the scattering rate exhibits a T 2 dependence, which shows that for finite doping a Fermi liquid state survives—however, with a scattering rate close to the maximal value allowed.

Date: 2017
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DOI: 10.1038/s41467-017-02121-y

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