Condensed Matter > Mesoscale and Nanoscale Physics
[Submitted on 10 Jan 2018 (v1), last revised 28 Sep 2018 (this version, v3)]
Title:Collisionless Transport Close to a Fermionic Quantum Critical Point in Dirac Materials
View PDFAbstract:Quantum transport close to a critical point is a fundamental, but enigmatic problem due to fluctuations, persisting at all length scales. We report the scaling of optical conductivity (OC) in the \emph{collisionless} regime ($\hbar \omega \gg k_B T$) in the vicinity of a relativistic quantum critical point, separating two-dimensional ($d=2$) massless Dirac fermions from a fully gapped insulator or superconductor. Close to such critical point gapless fermionic and bosonic excitations are strongly coupled, leading to a \emph{universal} suppression of the inter-band OC as well as of the Drude peak (while maintaining its delta function profile) inside the critical regime, which we compute to the leading order in $1/N_f$- and $\epsilon$-expansions, where $N_f$ counts fermion flavor number and $\epsilon=3-d$. Correction to the OC at such a non-Gaussian critical point due to the long-range Coulomb interaction and generalizations of these scenarios to a strongly interacting three-dimensional Dirac or Weyl liquid are also presented, which can be tested numerically and possibly from non-pertubative gauge-gravity duality, for example.
Submission history
From: Bitan Roy [view email][v1] Wed, 10 Jan 2018 18:59:42 UTC (554 KB)
[v2] Thu, 20 Sep 2018 13:10:43 UTC (575 KB)
[v3] Fri, 28 Sep 2018 11:56:38 UTC (575 KB)
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