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arXiv:1907.12163

Quantum critical fluctuations, Planckian dissipation, and compactification scale

Sudip Chakravarty

Published Jul 28, 2019• 2 citations
arXivHTMLPDF

Abstract

The most striking result here is that the notion of Planckian dissipation is also applicable to the $c$-axis resistivity of the high temperature cuprate superconductors, and to my knowledge this aspect has not been previously addressed. The derivation involves Kubo formula and does not require any mechanism beyond a non-Fermi liquid assumption. The $c$-axis resistivity, in its essential aspects, is discussed in the context of quantum critical point. Finally, I consider a zero temperature problem with one of its spatial dimensions compactified. The warning is that this compatification scale at the quantum critical point behaves similarly to the finite temperature problem, but obviously being at zero temperature there is no dissipation.

DOI
10.48550/arxiv.1907.12163

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The most striking result here is that the notion of Planckian dissipation is also applicable to the ccc-axis resistivity of the high temperature cuprate superconductors, and to my knowledge this aspect has not been previously addressed. The derivation involves Kubo formula and does not require any mechanism beyond a non-Fermi liquid assumption. The ccc-axis resistivity, in its essential aspects, is discussed in the context of quantum critical point. Finally, I consider a zero temperature problem with one of its spatial dimensions compactified. The warning is that this compatification scale at the quantum critical point behaves similarly to the finite temperature problem, but obviously being at zero temperature there is no dissipation.
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