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Updated: Apr 13, 2026

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Published on: January 21, 2016
Fluctuation-Induced Giant Magnetoresistance in Charge-Neutral Graphene
A Levchenko1, E Kirkinis2, A V Andreev3
1University of Wisconsin-Madison, Department of Physics, Madison, Wisconsin 53706, USA.
Abstract:
The Johnson-Nyquist noise associated with the intrinsic conductivity of the electron liquid induces fluctuations of the electron density in charge-neutral graphene devices. In the presence of external electric and magnetic fields, the fluctuations of charge density and electric current induce a fluctuating hydrodynamic flow. We show that the resulting advection of charge produces a fluctuation contribution to the macroscopic conductivity of the system, σ_{fl}, and develop a quantitative theory of σ_{fl}. At zero magnetic field, σ_{fl} diverges logarithmically with the system size and becomes rapidly suppressed at relatively small fields. This results in giant magnetoresistance of the system.
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