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Non-linear quantum critical transport and the Schwinger Mechanism

Green, AG; Sondhi, SL; (2005) Non-linear quantum critical transport and the Schwinger Mechanism. ArXiv Green open access

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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.

Type: Article
Title: Non-linear quantum critical transport and the Schwinger Mechanism
Open access status: An open access version is available from UCL Discovery
Publisher version: https://doi.org/10.48550/arXiv.cond-mat/0501758
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: https://discovery.ucl.ac.uk/id/eprint/1333460
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