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Collisionless Transport Close to a Fermionic Quantum Critical Point in Dirac Materials
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 22018 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 121, no 13, article id 137601Article in journal (Refereed) Published
Abstract [en]

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 collisionless regime ((sic)omega >> 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 a critical point, gapless fermionic and bosonic excitations are strongly coupled, leading to a universal suppression of the interband 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 the fermion flavor number and epsilon = 3 - d. Correction to the OC at such a non-Gaussian critical point due to the longrange 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 nonperturbative gauge-gravity duality, for example.

Place, publisher, year, edition, pages
2018. Vol. 121, no 13, article id 137601
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-161196DOI: 10.1103/PhysRevLett.121.137601ISI: 000445515500012OAI: oai:DiVA.org:su-161196DiVA, id: diva2:1260080
Available from: 2018-11-01 Created: 2018-11-01 Last updated: 2018-11-01Bibliographically approved

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Juričić, Vladimir
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