Non-linear quantum critical transport and the Schwinger Mechanism

A. G. Green; S. L. Sondhi

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arXiv · cond-mat/0501758

Non-linear quantum critical transport and the Schwinger Mechanism

A. G. Green·S. L. Sondhi

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Abstract

Scaling arguments imply that quantum critical points exhibit universal non-linear responses to external probes. We investigate the origins of such non-linearities in transport, which is especially problematic since the system is necessarily driven far from equilibrium. We argue that for a wide class of systems the new ingredient that enters is the Schwinger mechanism--the production of carriers from the vacuum by the applied field-- which is then balanced against a scattering rate which is itself set by the field. We show by explicit computation how this works for the case of the symmetric superfluid-Mott insulator transition of bosons.

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A. G. Green, S. L. Sondhi. 2005-01-31. Non-linear quantum critical transport and the Schwinger Mechanism. https://arxiv.org/abs/cond-mat/0501758

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