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Electron-hole generation and recombination rates for Coulomb scattering in graphene Farhan Rana*
 

Summary: Electron-hole generation and recombination rates for Coulomb scattering in graphene
Farhan Rana*
School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14853, USA
Received 14 May 2007; revised manuscript received 2 August 2007; published 24 October 2007
We calculate electron-hole generation and recombination rates for Coulomb scattering Auger recombination
and impact ionization in zero band-gap graphene. The conduction and valence band dispersion relation in
graphene together with energy and momentum conservation requirements restrict the phase space for Coulomb
scattering so that electron-hole recombination times can be much longer than 1 ps for electron-hole densities
smaller than 1012
cm-2
.
DOI: 10.1103/PhysRevB.76.155431 PACS number s : 73.21. b, 72.20.Jv, 73.50.Bk, 71.55.Cn
I. INTRODUCTION
Graphene is a single two-dimensional 2D atomic layer
of carbon atoms forming a dense honeycomb crystal lattice.1
The electronic properties of graphene have generated tre-
mendous interest in both experimental and theoretical
arenas.27 The linear energy dispersion relation of electrons
and holes with zero band-gap results in behavior of both
single-particle and collective excitations that is different

  

Source: Afshari, Ehsan - School of Electrical and Computer Engineering, Cornell University

 

Collections: Engineering