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Higher derivative corrections to incoherent metallic transport in holography
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2017, no 3, 170Article in journal (Refereed) Published
Abstract [en]

Transport in strongly-disordered, metallic systems is governed by diffusive processes. Based on quantum mechanics, it has been conjectured that these diffusivities obey a lower bound D/v2 ≳ ℏ/kBT , the saturation of which provides a mechanism for the T-linear resistivity of bad metals. This bound features a characteristic velocity v, which was later argued to be the butterfly velocity vB, based on holographic models of transport. This establishes a link between incoherent metallic transport, quantum chaos and Planckian timescales. Here we study higher derivative corrections to an effective holographic action of homogeneous disorder. The higher derivative terms involve only the charge and translation symmetry breaking sector. We show that they have a strong impact on the bound on charge diffusion Dc/νB 2 ≳ ℏ/kBT, by potentially making the coefficient of its right-hand side arbitrarily small. On the other hand, the bound on energy diffusion is not affected.

Place, publisher, year, edition, pages
2017. Vol. 2017, no 3, 170
Keyword [en]
AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT)
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-208060DOI: 10.1007/JHEP03(2017)170Scopus ID: 2-s2.0-85016930717OAI: oai:DiVA.org:kth-208060DiVA: diva2:1103865
Note

QC 20170531

Available from: 2017-05-31 Created: 2017-05-31 Last updated: 2017-05-31Bibliographically approved

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Goutéraux, Blaise
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