Impurity state and variable range hopping conduction in graphene

Sang Zi Liang, Jorge O. Sofo

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


The variable range hopping theory, as formulated for exponentially localized impurity states, does not necessarily apply in the case of graphene with covalently attached impurities. We analyze the localization of impurity states in graphene using the nearest-neighbor, tight-binding model of an adatom-graphene system with Green's function perturbation methods. The amplitude of the impurity state wave function is determined to decay as a power law with exponents depending on sublattice, direction, and the impurity species. We revisit the variable range hopping theory in view of this result and find that the conductivity depends as a power law of the temperature with an exponent related to the localization of the wave function. We show that this temperature dependence is in agreement with available experimental results.

Original languageEnglish (US)
Article number256601
JournalPhysical review letters
Issue number25
StatePublished - Dec 20 2012

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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