Nano Archive

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

Cho, Sungjae and Fuhrer, Michael (2011) Massless and massive particle-in-a-box states in single- and bi-layer graphene. Nano Research, 4 (4). pp. 385-392. ISSN 1998-0124 (Print) 1998-0000 (Online)

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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) ∼ n 1/2 for massless 2-D fermions (electrons in single-layer graphene) and D(n) ∼ 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 υ F = 1.1 × 106 m/s and effective mass m* = 0.032 m e, where m e is the electron mass, in excellent agreement with theoretical expectations.

Item Type:Article
Subjects:Physical Science > Nanophysics
Physical Science > Nano objects
Physical Science > Quantum phenomena
ID Code:10689
Deposited By:M T V
Deposited On:09 May 2011 10:17
Last Modified:09 May 2011 10:17

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