TY - JOUR
T1 - Giant capacitance of a plane capacitor with a two-dimensional electron gas in a magnetic field
AU - Skinner, Brian
AU - Shklovskii, B. I.
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/1/9
Y1 - 2013/1/9
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevB.87.035409
DO - 10.1103/PhysRevB.87.035409
M3 - Article
AN - SCOPUS:84872903284
VL - 87
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
SN - 1098-0121
IS - 3
M1 - 035409
ER -