Size dependent electronic properties of silicon quantum dots-An analysis with hybrid, screened hybrid and local density functional theory

作者: D. Gabay , X. Wang , V. Lomakin , A. Boag , M. Jain

DOI: 10.1016/J.CPC.2017.08.005

关键词:

摘要: Abstract We use an efficient projection scheme for the Fock operator to analyze size dependence of silicon quantum dots (QDs) electronic properties. compare behavior hybrid, screened hybrid and local density functionals as a function dot up ∼ 800 atoms volume 20 nm 3 . This allows comparing calculations experimental results over wide range QD sizes. demonstrate dependent band gap, states, ionization potential HOMO level shift after ionization. also how Graphical Processing Units (GPUs) can further accelerate such calculations.

参考文章(47)
Sivan Refaely-Abramson, Manish Jain, Sahar Sharifzadeh, Jeffrey B. Neaton, Leeor Kronik, Solid-state optical absorption from optimally tuned time-dependent range-separated hybrid density functional theory Physical Review B. ,vol. 92, pp. 081204- ,(2015) , 10.1103/PHYSREVB.92.081204
Michael Zuzovski, Amir Boag, Amir Natan, An auxilliary grid method for the calculation of electrostatic terms in density functional theory on a real-space grid. Physical Chemistry Chemical Physics. ,vol. 17, pp. 31550- 31557 ,(2015) , 10.1039/C5CP01090J
Igor Vasiliev, Serdar Öğüt, James R. Chelikowsky, Ab Initio Absorption Spectra and Optical Gaps in Nanocrystalline Silicon Physical Review Letters. ,vol. 86, pp. 1813- 1816 ,(2001) , 10.1103/PHYSREVLETT.86.1813
C. S. Garoufalis, Aristides D. Zdetsis, Stefan Grimme, High level ab initio calculations of the optical gap of small silicon quantum dots Physical Review Letters. ,vol. 87, pp. 276402- 276402 ,(2001) , 10.1103/PHYSREVLETT.87.276402
Julien Toulouse, François Colonna, Andreas Savin, Long-range/short-range separation of the electron-electron interaction in density functional theory Physical Review A. ,vol. 70, pp. 062505- ,(2004) , 10.1103/PHYSREVA.70.062505
Serdar Öğüt, James R. Chelikowsky, Steven G. Louie, Quantum Confinement and Optical Gaps in Si Nanocrystals Physical Review Letters. ,vol. 79, pp. 1770- 1773 ,(1997) , 10.1103/PHYSREVLETT.79.1770
James R. Chelikowsky, N. Troullier, Y. Saad, Finite-difference-pseudopotential method: Electronic structure calculations without a basis. Physical Review Letters. ,vol. 72, pp. 1240- 1243 ,(1994) , 10.1103/PHYSREVLETT.72.1240
J. P. Wilcoxon, G. A. Samara, P. N. Provencio, Optical and Electronic Properties of Si Nanoclusters Synthesized in Inverse Micelles Physical Review B. ,vol. 60, pp. 2704- 2714 ,(1999) , 10.1103/PHYSREVB.60.2704
Ivan Duchemin, François Gygi, A scalable and accurate algorithm for the computation of Hartree–Fock exchange Computer Physics Communications. ,vol. 181, pp. 855- 860 ,(2010) , 10.1016/J.CPC.2009.12.021
Aliaksandr V. Krukau, Oleg A. Vydrov, Artur F. Izmaylov, Gustavo E. Scuseria, Influence of the exchange screening parameter on the performance of screened hybrid functionals. Journal of Chemical Physics. ,vol. 125, pp. 224106- 224106 ,(2006) , 10.1063/1.2404663