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Condensed Matter > Strongly Correlated Electrons
Title: Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals
(Submitted on 11 Jan 2022 (v1), last revised 23 Apr 2024 (this version, v4))
Abstract: Luttinger semimetals represent materials with strong spin-orbit coupling, harbouring doubly-degenerate quadratic band touchings at the Brillouin zone center. In the presence of Coulomb interactions, such a system exhibits a non-Fermi liquid phase [dubbed as the Luttinger-Abrikosov-Beneslavskii (LAB) phase], at low temperatures and zero doping. However, a clear experimental evidence of this emergent state remains elusive to this date. Hence, we focus on extracting the Raman response as a complementary experimental signature. At frequencies much larger than the temperature, the Raman response exhibits a power-law behavior, which can be verified experimentally. On the other hand, at lower frequencies, the Raman response displays a quasi-elastic peak. We also compute the ratio of the shear viscosity and the entropy density, and the value obtained is a consequence of the hyperscaling violation that emerges in the LAB phase.
Submission history
From: Ipsita Mandal [view email][v1] Tue, 11 Jan 2022 16:44:15 GMT (224kb,D)
[v2] Wed, 13 Apr 2022 20:27:55 GMT (193kb,D)
[v3] Fri, 13 May 2022 14:44:41 GMT (193kb,D)
[v4] Tue, 23 Apr 2024 14:19:50 GMT (207kb,D)
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