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Quantum capacitance in bilayer graphene nanoribbon

Bhattacharya, Sitangshu and Mahapatra, Santanu (2012) Quantum capacitance in bilayer graphene nanoribbon. In: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 44 (7-8). pp. 1127-1131.

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Official URL: http://dx.doi.org/10.1016/j.physe.2011.09.033


We address a physically based analytical model of quantum capacitance (C-Q) in a bilayer graphene nanoribbon (BGN) under the application of an external longitudinal static bias. We demonstrate that as the gap (Delta) about the Dirac point increases, a phenomenological population inversion of the carriers in the two sets of subbands occurs. This results in a periodic and composite oscillatory behavior in the C-Q with the channel potential, which also decreases with increase in Delta. We also study the quantum size effects on the C-Q, which signatures heavy spatial oscillations due to the occurrence of van Hove singularities in the total density-of-states function of both the sets of subbands. All the mathematical results as derived in this paper converge to the corresponding well-known solution of graphene under certain limiting conditions and this compatibility is an indirect test of our theoretical formalism. (C) 2012 Elsevier By. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to Elsivers Ltd.
Department/Centre: Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology)
Date Deposited: 13 Aug 2012 09:52
Last Modified: 13 Aug 2012 09:52
URI: http://eprints.iisc.ac.in/id/eprint/44948

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