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Condensed Matter > Strongly Correlated Electrons
Title: Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
(Submitted on 14 Dec 2020 (v1), last revised 10 Jul 2022 (this version, v5))
Abstract: Luttinger semimetals have quadratic band crossings at the Brillouin zone-center in three spatial dimensions. Coulomb interactions in a model that describes these systems stabilize a non-trivial fixed point associated with a non-Fermi liquid state, also known as the Luttinger-Abrikosov-Beneslavskii phase. We calculate the optical conductivity $\sigma (\omega) $ and the dc conductivity $\sigma_{dc} (T) $ of this phase, by means of the Kubo formula and the Mori-Zwanzig memory matrix method, respectively. Interestingly, we find that $\sigma (\omega) $, as a function of the frequency $\omega$ of an applied ac electric field, is characterized by a small violation of the hyperscaling property in the clean limit, which is in marked contrast to the low-energy effective theories that possess Dirac quasiparticles in the excitation spectrum and obey hyperscaling. Furthermore, the effects of weak short-ranged disorder on the temperature-dependence of $\sigma_{dc} (T)$ give rise to a much stronger power-law suppression at low temperatures compared to the clean limit. Our findings demonstrate that these disordered systems are actually power-law insulators. Our theoretical results agree qualitatively with the data from recent experiments performed on Luttinger semimetal compounds like the pyrochlore iridates [ (Y$_{1-x}$Pr$_x$)$_2$Ir$_2$O$_7$ ].
Submission history
From: Ipsita Mandal [view email][v1] Mon, 14 Dec 2020 19:00:05 GMT (124kb,D)
[v2] Fri, 7 May 2021 16:31:46 GMT (666kb,D)
[v3] Wed, 12 Jan 2022 19:02:56 GMT (666kb,D)
[v4] Mon, 7 Feb 2022 12:18:54 GMT (666kb,D)
[v5] Sun, 10 Jul 2022 16:24:48 GMT (666kb,D)
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