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arXiv · 0912.0008

Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence

Sean A. Hartnoll·Diego M. Hofman
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Abstract

We characterize quantum oscillations in the magnetic susceptibility of a quantum critical non-Fermi liquid. The computation is performed in a strongly interacting regime using the nonperturbative holographic correspondence. The temperature dependence of the amplitude of the oscillations is shown to depend on a critical exponent nu. For general nu the temperature scaling is distinct from the textbook Lifshitz-Kosevich formula. At the `marginal' value nu = 1/2, the Lifshitz-Kosevich formula is recovered despite strong interactions. As a by-product of our analysis we present a formalism for computing the amplitude of quantum oscillations for general fermionic theories very efficiently.

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Sean A. Hartnoll, Diego M. Hofman. 2009-12-01. Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence. https://doi.org/10.1103/physrevb.81.155125

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