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

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arxiv 0912.0008 v2 pith:A3NXQZK5 submitted 2009-12-01 cond-mat.str-el cond-mat.supr-conhep-th

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

classification cond-mat.str-el cond-mat.supr-conhep-th
keywords quantumlifshitz-kosevichoscillationsamplitudecorrespondencecriticalformulageneral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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