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

Journal Article · Thu Apr 15 04:00:00 EDT 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.81.155125· OSTI ID:21366724

Hartnoll, Sean A; Hofman, Diego M ^[1]

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1. Department of Physics, Harvard University, Cambridge, Massachusetts 02138 (United States)

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.

• OSTI ID: 21366724
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 15 Vol. 81; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AMPLITUDES
BASIC INTERACTIONS
BY-PRODUCTS
COMPUTERIZED SIMULATION
FERMI GAS
FERMIONS
HOLOGRAPHY
INTERACTIONS
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
OSCILLATIONS
PHYSICAL PROPERTIES
SCALING
SIMULATION
STRONG INTERACTIONS
TEMPERATURE DEPENDENCE