Giant capacitance of a plane capacitor with a two-dimensional electron gas in a magnetic field

Brian Skinner, B. I. Shklovskii

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

If a clean two-dimensional electron gas (2DEG) with a low concentration n comprises one electrode of a plane capacitor, the resulting capacitance C can be higher than the "geometric capacitance" Cg determined by the physical separation d between electrodes. A recent paper argued that when the effective Bohr radius aB of the 2DEG satisfies a Bâ‰d, one can achieve Câ‰Cg at a low concentration nd2â‰1. Here we show that even for devices with aB>d, including graphene, for which aB is effectively infinite, one also arrives at Câ‰Cg at low electron concentrations if there is a strong perpendicular magnetic field.

Original languageEnglish (US)
Article number035409
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume87
Issue number3
DOIs
StatePublished - Jan 9 2013

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