Fluctuation-induced giant magnetoresistance in charge-neutral graphene

2025/12/10 by Levchenko, A., Kirkinis, E., Andreev, A. V.
#FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · doi:10.48550/arxiv.2512.09988

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.

Citations

• Proximity screening greatly enhances electronic quality of graphene
• Hydrodynamic electronic transport
• Hydrodynamic approach to two-dimensional electron systems
• Ultrahigh electron mobility in suspended graphene
• Large-distance and long-time properties of a randomly stirred fluid

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