2016
DOI: 10.1103/physrevb.94.155406
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Efficient many-body calculations for two-dimensional materials using exact limits for the screened potential: Band gaps ofMoS2, h-BN, and phosphorene

Abstract: Calculating the quasiparticle (QP) band structure of two-dimensional (2D) materials within the GW self-energy approximation has proven to be a rather demanding computational task. The main reason is the strong q-dependence of the 2D dielectric function around q = 0 that calls for a much denser sampling of the Brillouin zone than is necessary for similar 3D solids. Here we use an analytical expression for the small q-limit of the 2D response function to perform the BZ integral over the critical region around q … Show more

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Cited by 88 publications
(100 citation statements)
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“…We stress that these are the only two QSHI candidates of the Kane-Mele type we found (in addition to graphene itself which is not included here owing to its vanishing small band gap). tions when predicting topological phases [37], especially for 2D materials where dielectric screening is weak and the dielectric function has a strong spatial dependence [40,41]. AsCuLi 2 .…”
Section: Resultsmentioning
confidence: 99%
“…We stress that these are the only two QSHI candidates of the Kane-Mele type we found (in addition to graphene itself which is not included here owing to its vanishing small band gap). tions when predicting topological phases [37], especially for 2D materials where dielectric screening is weak and the dielectric function has a strong spatial dependence [40,41]. AsCuLi 2 .…”
Section: Resultsmentioning
confidence: 99%
“…GW calculations for 2D materials pose additional challenges due to the analytical behavior of the 2D electronic screening, which is different from 3 dimensional (3D) systems, and the need to remove interactions between period images33343536. The rapid change in the 2D dielectric function as requires rather dense k -point sampling even with clever integration techniques3336; the spurious interlayer interaction can be reduced with increasing interlayer distance and with the use of truncated Coulomb potential3334.…”
Section: Resultsmentioning
confidence: 99%
“…The rapid change in the 2D dielectric function as requires rather dense k -point sampling even with clever integration techniques3336; the spurious interlayer interaction can be reduced with increasing interlayer distance and with the use of truncated Coulomb potential3334. Unfortunately, even with these creative methods, fully converged GW calculations for 2D materials remain a serious challenge since the number of conduction bands required in the calculation scales linearly with cell volume.…”
Section: Resultsmentioning
confidence: 99%
“…3 is the quasiparticle (QP) excitation energy E QP at the fixed geometry R q , which can be calculated accurately using the GW method [16,22,23]. However, GW calculations of quasiparticle energies in 2D materials exhibit serious convergence difficulties [24][25][26] that make the calculations of charged defects that require large supercells extremely challenging.…”
Section: Computationmentioning
confidence: 99%