| Home > Publications database > Quantum Monte Carlo calculations for carbon nanotubes |
| Journal Article | FZJ-2017-01542 |
;
2016
Inst.
Woodbury, NY
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Please use a persistent id in citations: http://hdl.handle.net/2128/13791 doi:10.1103/PhysRevB.93.155106
Abstract: We show how lattice quantum Monte Carlo can be applied to the electronic properties of carbon nanotubes in the presence of strong electron-electron correlations. We employ the path-integral formalism and use methods developed within the lattice QCD community for our numerical work. Our lattice Hamiltonian is closely related to the hexagonal Hubbard model augmented by a long-range electron-electron interaction. We apply our method to the single-quasiparticle spectrum of the (3,3) armchair nanotube configuration, and consider the effects of strong electron-electron correlations. Our approach is equally applicable to other nanotubes, as well as to other carbon nanostructures. We benchmark our Monte Carlo calculations against the two- and four-site Hubbard models, where a direct numerical solution is feasible.
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