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

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