The fate of the resonating valence bond in graphene

Details The fate of the resonating valence bond in graphene The fate of the resonating valence bond in graphene

2011-03-21

arxiv.org/abs/1103.4053v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures, submitted to Phys. Rev. Lett

Scientific paper

We apply a variational wave function capable of describing qualitatively and quantitatively the so called "resonating valence bond" in realistic materials, by improving standard ab initio calculations by means of quantum Monte Carlo methods. In this framework we clearly identify the Kekul\'e and Dewar contributions to the chemical bond of the benzene molecule, and we establish the corresponding resonating valence bond energy of these well known structures ($\simeq 0.01$eV/atom). We apply this method to unveil the nature of the chemical bond in undoped graphene and show that this picture remains only within a small "resonance length" of few atomic units.

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