Massless and massive particle-in-a-box states in single- and bi-layer graphene

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Electron transport through short, phase-coherent metal-graphene-metal devices occurs via resonant transmission through particle-in-a-box-like states defined by the atomically-sharp metal leads. We study the spectrum of particle-in-a-box states for single- and bi-layer graphene, corresponding to massless and massive two-dimensional (2-D) fermions. The density of states D as a function of particle number n shows the expected relationships D(n)similar to n (1/2) for massless 2-D fermions (electrons in single-layer graphene) and D(n) similar to constant for massive 2-D fermions (electrons in bi-layer graphene). The single parameters of the massless and massive dispersion relations are found, namely Fermi velocity upsilon (F) = 1.1 x 10(6) m/s and effective mass m* = 0.032 m (e), where m (e) is the electron mass, in excellent agreement with theoretical expectations.
Publisher
TSINGHUA UNIV PRESS
Issue Date
2011-04
Language
English
Article Type
Article
Keywords

QUANTUM INTERFERENCE; DIRAC FERMIONS; BERRYS PHASE; TRANSPORT; GRAPHITE

Citation

NANO RESEARCH, v.4, no.4, pp.385 - 392

ISSN
1998-0124
DOI
10.1007/s12274-011-0093-1
URI
http://hdl.handle.net/10203/201404
Appears in Collection
PH-Journal Papers(저널논문)
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