Quantisation of Hopping Magnetoresistance Prefactor in Strongly Correlated Two-Dimensional Electron Systems

Abstract

We report an universal behaviour of hopping transport in strongly interacting mesoscopic two-dimensional electron systems (2DES). In a certain window of background disorder, the resistivity at low perpendicular magnetic fields follows the expected relation $\rho (B_{\perp })={\rho }_{\mathrm{B}}\exp (\alpha B_{\perp }^2)$. The prefactor ${\rho }_{\mathrm{B}}$ decreases exponentially with increasing electron density but saturates to a finite value at higher densities. Strikingly, this value is found to be universal when expressed in terms of absolute resistance and and shows quantisation at $R_{\mathrm{B}}\approx h/e^2$ and $R_{\mathrm{B}}\approx 1/2$ $h/e^2$. We suggest a strongly correlated electronic phase as a possible explanation.

5 pages, 3 figures, Proceedings of EP2DS 17, Reference added

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• Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
• Experimental Evidence for a Coulomb Gap in Two Dimensions
• Magnetotransport in disordered delta-doped heterostructures
• Local transport in a disorder-stabilized correlated insulating phase
• Coherent "metallic" resistance and medium localisation in a disordered 1D insulator
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Cited by in corpus (1)

• Magnetic Field Induced Instabilities in Localised Two-Dimensional Electron Systems