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From Ohmic to Ballistic Transport in Oriented Graphite

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dc.creator García García, Nicolás
dc.creator Esquinazi, Pablo D.
dc.creator Barzola-Quiquia, J.
dc.creator Bai, Ming
dc.creator Spoddig, D.
dc.date 2008-06-08T23:59:12Z
dc.date 2008-06-08T23:59:12Z
dc.date 2008-05-28
dc.date.accessioned 2017-01-31T01:36:02Z
dc.date.available 2017-01-31T01:36:02Z
dc.identifier arXiv:0803.2203v2 [cond-mat.str-el]
dc.identifier 1098-0121
dc.identifier http://hdl.handle.net/10261/4870
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/4870
dc.description 28 pages, 8 figures. To be published in Phys. Rev. B (2008).-- Submitted on 14 Mar 2008 (v1), last revised 28 May 2008 (this version, v2).-- PACS Nr.: 72.15.Lh, 72.80.Cw, 73.23.Ad, 81.05.Uw
dc.description In this work we show that for a quasi-2D system of size $\Omega$ and thickness $t$ the resistance goes as $(2\rho/\pi t)\ln(\Omega/W)$, diverging logarithmically with the size. Measurements in highly oriented pyrolytic graphite (HOPG) as well as numerical simulations confirm this relation. Furthermore, we present an experimental method that allows us to obtain the carriers mean free path $l(T)$, the Fermi wavelength $\lambda(T)$ and the mobility $\mu(T)$ directly from experiments without adjustable parameters. Measuring the electrical resistance through microfabricated constrictions in HOPG and observing the transition from ohmic to ballistic regime we obtain that $0.2 \mu$m $\lesssim l \lesssim 10 \mu$m, $0.1 \mu$m $\lesssim \lambda \lesssim 2 \mu$m and a mobility $5 \times 10^4$ cm$^2$/Vs $ \lesssim \mu \lesssim 4 \times 10^7$ cm$^2$/Vs when the temperature decreases from 270K to 3K. A comparison of these results with those from literature indicates that conventional, multiband Boltzmann-Drude approaches are inadequate for oriented graphite. The upper value obtained for the mobility is much larger than the mobility graphene samples of micrometer size can have.
dc.description This work was done with the support of a HBFG-grant no. 036-371, the Spanish CACyT and Ministerio de Educación y Ciencia, the Deutsche Forschungsgesellschaft under DFG ES 86/16-1, the European Union project "Ferrocarbon" and the DAAD under D/07/13369 “Acciones Integradas Hispano-Alemanas”.
dc.description Peer reviewed
dc.format 774881 bytes
dc.format application/pdf
dc.language eng
dc.publisher American Physical Society
dc.relation Preprint
dc.rights openAccess
dc.subject Strongly Correlated Electrons
dc.subject Materials Science
dc.title From Ohmic to Ballistic Transport in Oriented Graphite
dc.type Pre-print


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