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Capacitance of graphene bilayer as a probe of layer-specific properties

2011/05/31 by Andrea F. Young, Leonid Levitov, Leonid S. Levitov · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #Bilayer #Bilayer graphene #Capacitance #Capacitance probe #Chemistry #Condensed matter physics #Differential capacitance #Electrode #Electron #Fermi level #Graphene #Graphene research and applications #Materials science #Nanotechnology #Optoelectronics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Surface and Thin Film Phenomena #Van Hove singularity #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.84.085441

published as Phys. Rev. B 84, 085441 (2011) · Minor changes, references added

arxiv created 2011/07/31 · openalex publication_date 2011/08/29 · arxiv updated 2013/05/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The unique capabilities of capacitance measurements in bilayer graphene enable probing of layer-specific properties that are normally out of reach in transport measurements. Furthermore, capacitance measurements in the top-gate and penetration field geometries are sensitive to different physical quantities: The penetration field capacitance probes the two layers equally, whereas the top-gate capacitance preferentially samples the near layer, resulting in the ``near-layer capacitance enhancement'' effect observed in recent top-gate capacitance measurements. We present a detailed theoretical description of this effect and show that capacitance can be used to determine the equilibrium layer polarization, a potentially useful tool in the study of broken symmetry states in graphene, stemming from the interplay between interlayer screening, disorder, and the inverse-square-root van Hove singularity particular to the bilayer graphene band structure. We show how capacitance experiments can be used to probe the ground-state layer polarization, a potentially useful tool in the study of broken symmetry states in graphene.

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