Elementary Electronic Excitations in Graphene Nanoribbons

Details Elementary Electronic Excitations in Graphene Nanoribbons Elementary Electronic Excitations in Graphene Nanoribbons

2007-01-31

arxiv.org/abs/cond-mat/0701787v1

Physical Review B, {\bf 75}, 125434 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages. 5 figures included

Scientific paper

We analyze the collective mode spectrum of graphene nanoribbons within the random phase approximation. In the undoped case, only metallic armchair nanoribbons support a propagating plasmon mode. Landau damping of this mode is shown to be suppressed through the chirality of the single particle wavefunctions. We argue that undoped zigzag nanoribbons should not support plasmon excitations because of a broad continuum of particle-hole excitations associated with surface states, into which collective modes may decay. Doped nanoribbons have properties similar to those of semiconductor nanowires, including a plasmon mode dispersing as $q\sqrt{-\ln qW}$ and a static dielectric response that is divergent at $q=2k_F$.

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