What question did this study set out to answer?

To investigate the electronic structure and localization effects produced by lattice vacancies within a half-filled honeycomb lattice.

January 23, 2006Physical Review LettersOpen Access

Disorder Induced Localized States in Graphene

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Theoretical analysis reveals vacancy-induced localized states in honeycomb lattices, highlighting mechanisms of electron localization in graphene.

To investigate the electronic structure and localization effects produced by lattice vacancies within a half-filled honeycomb lattice.
Modeled the electronic structure around single vacancies and systems with a finite density of vacancies in a half-filled honeycomb lattice.
Analyzed the effects of breaking particle-hole symmetry on vacancy-induced electronic states.
Calculated the electronic density of states and evaluated conditions governing electronic localization.
Lattice vacancies directly induce the formation of localized electronic states in the honeycomb lattice.
Breaking particle-hole symmetry shifts localized states into resonances situated close to the Fermi level.
Finite vacancy densities modify the electronic density of states, yielding analytical insights transferable to disorder in d-wave superconductors.

Pereira et al. (2006) studied this question.

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Theoretical analysis reveals vacancy-induced localized states in honeycomb lattices, highlighting mechanisms of electron localization in graphene.