Dynamical Response near Quantum Critical Points

Andrew Lucas, Snir Gazit, Daniel Podolsky, William Witczak-Krempa

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We study high-frequency response functions, notably the optical conductivity, in the vicinity of quantum critical points (QCPs) by allowing for both detuning from the critical coupling and finite temperature. We consider general dimensions and dynamical exponents. This leads to a unified understanding of sum rules. In systems with emergent Lorentz invariance, powerful methods from quantum field theory allow us to fix the high-frequency response in terms of universal coefficients. We test our predictions analytically in the large-N O(N) model and using the gauge-gravity duality and numerically via quantum Monte Carlo simulations on a lattice model hosting the interacting superfluid-insulator QCP. In superfluid phases, interacting Goldstone bosons qualitatively change the high-frequency optical conductivity and the corresponding sum rule.

Original languageAmerican English
Article number056601
JournalPhysical Review Letters
Issue number5
StatePublished - 2 Feb 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.


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