AI Article Synopsis
- The text discusses how localization increases near the Dirac point in doped graphene by mapping its honeycomb lattice into a triangular one and examining the effects of frustration.
- It highlights that eigenstates in this new triangular lattice exhibit bonding and antibonding characteristics, leading to the formation of a Lifshitz tail.
- Additionally, it explains that as disorder increases, fewer bonds become frustrated, which correlates with heightened localization in the system.
Article Abstract
An intuitive explanation of the increase in localization observed near the Dirac point in doped graphene is presented. To do this, we renormalize the tight binding Hamiltonians in such a way that the honeycomb lattice maps into a triangular one. Then, we investigate the frustration effects that emerge in this Hamiltonian. In this doped triangular lattice, the eigenstates have a bonding and antibonding contribution near the Dirac point, and thus there is a kind of Lifshitz tail. The increase in frustration is related to an increase in localization, since the number of frustrated bonds decreases with disorder, while the frustration contribution raises.
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| http://dx.doi.org/10.1088/0953-8984/23/37/375501 | DOI Listing |
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