Skip to Main content Skip to Navigation
Journal articles

Unveiling quantum Hall transport by Efros-Shklovskii to Mott variable range hopping transition in Graphene

Keyan Bennaceur 1, 2 Patrice Jacques 1, 2 Fabien Portier 1, 2 Patrice Roche 1, 2 D. C. Glattli 1, 2
2 GNE - Groupe Nano-Electronique
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
Abstract : The quantum Hall effect is universal and expected to occur in all two-dimensional electron systems in perpendicular high-magnetic field. We revisit quantum localization thanks to the high-energy scale of the quantum Hall effect in graphene, where the electron dynamics obey the Dirac equation. We solve a long debated question on the nature of electron transport in the transition region between Hall resistance plateaus. Is it of metallic or of variable-range hopping type as proposed, respectively, by Pruisken and Polyakov-Shklovskii? To the best of our knowledge, no experiment was able to discriminate between these models. Here, measurements of the conductance peak width scaling exponents with both temperature and current and determination of the localization length validates the variable-range hopping scenario. This shows that the usual assumption of a metallic behavior of the two-dimensional electron gas (2DEG) between Hall resistance plateaus is unnecessary for macroscopic samples.
Complete list of metadata

Cited literature [26 references]  Display  Hide  Download
Contributor : Bruno Savelli Connect in order to contact the contributor
Submitted on : Thursday, October 1, 2020 - 2:47:26 PM
Last modification on : Monday, December 13, 2021 - 9:16:41 AM
Long-term archiving on: : Monday, January 4, 2021 - 8:53:21 AM


Files produced by the author(s)




Keyan Bennaceur, Patrice Jacques, Fabien Portier, Patrice Roche, D. C. Glattli. Unveiling quantum Hall transport by Efros-Shklovskii to Mott variable range hopping transition in Graphene. Physical Review B, American Physical Society, 2012, ⟨10.1103/PhysRevB.86.085433⟩. ⟨cea-01073043⟩



Les métriques sont temporairement indisponibles