2012
DOI: 10.1021/ct3003496
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Efficient Quantum Simulations of Metals within the Γ-Point Approximation: Application to Carbon and Inorganic 1D and 2D Materials

Abstract: Molecular dynamics simulations using quantum mechanics for the electronic system, i.e., within the Born-Oppenheimer or related Car-Parrinello approximation, became feasible and popular in recent years for very large systems. The most common setup for these simulations is the supercell method in conjunction with the Γ-point approximation. Here we provide a tool which is useful to choose the supercell of the considered system such that it makes it appear to have either an as large as possible band gap (optimized… Show more

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Cited by 8 publications
(18 citation statements)
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“…Apparently this would imply an increased metallic character, but in fact one should not forget that pristine graphene has a zero gap at the K point of the Brillouin zone, a point that does not fold into G in our supercell. 42 We verified for the graphene + Rh system that the HOMO and LUMO orbital shapes change, nevertheless, very little in different k-points of a 8 Â 8 Â 1 Monkhorst-Pack grid. These changes are definitely negligible for a qualitative orbital analysis.…”
Section: Analysis Of Frontier Orbitalsmentioning
confidence: 71%
“…Apparently this would imply an increased metallic character, but in fact one should not forget that pristine graphene has a zero gap at the K point of the Brillouin zone, a point that does not fold into G in our supercell. 42 We verified for the graphene + Rh system that the HOMO and LUMO orbital shapes change, nevertheless, very little in different k-points of a 8 Â 8 Â 1 Monkhorst-Pack grid. These changes are definitely negligible for a qualitative orbital analysis.…”
Section: Analysis Of Frontier Orbitalsmentioning
confidence: 71%
“…In this direction, the periodicity is described by the Γ-point approximation, recently justified for analogues systems. 27 To avoid spurious overlap between atoms from the image cells, we have used twelve unit cells in the direction perpendicular to the current. In this way, the edge effects arising from the typical one-dimensional representation of the layers as nanoribbons are discarded from the simulations.…”
Section: Methodsmentioning
confidence: 99%
“…The coherent electronic transport calculations were carried out using the density functional based tight-binding (DFTB) [47][48][49] method in conjunction with the non-equilibrium Green's function technique [50,51] and the Landauer-Büttiker approach. The present approach was already validated and described in detail in our previous works on various TMC materials [14,41,52].…”
Section: Computational Detailsmentioning
confidence: 96%