2013
DOI: 10.1103/physrevb.87.205113
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Excited Cr impurity states in Al2O3from constraint density functional theory

Abstract: The excited states, 4 T 2g and 2 E g , of a Cr impurity in Al 2 O 3 were treated by constraint density functional theory by imposing a density matrix constraint (constraint field) to control the electron occupation numbers of the d-orbitals. The calculated excitation energies, directly calculated from the self-consistent total energies of the 4 A 2g ground states and the various excited states, correctly reproduce the experimental ordering. In addition, we find that there is no stationary solution for the exci… Show more

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Cited by 22 publications
(11 citation statements)
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“…∆SCF calculations of excited states for systems with reduced dimensions abound (e.g., Refs. [38][39][40]), and the ∆SCF method as implemented in the ABINIT code [41] is employed to predict structural effects of direct optical transitions at the valley edges of ferroelectric SnS and SnSe monolayers here. Calculations were performed with GBRV projected-augmented-wave [42] pseudopotentials [43] of the PBE type [44], which are known to underestimate the electronic band gap.…”
Section: Görling Formulated the Interacting Photoexcitedmentioning
confidence: 99%
“…∆SCF calculations of excited states for systems with reduced dimensions abound (e.g., Refs. [38][39][40]), and the ∆SCF method as implemented in the ABINIT code [41] is employed to predict structural effects of direct optical transitions at the valley edges of ferroelectric SnS and SnSe monolayers here. Calculations were performed with GBRV projected-augmented-wave [42] pseudopotentials [43] of the PBE type [44], which are known to underestimate the electronic band gap.…”
Section: Görling Formulated the Interacting Photoexcitedmentioning
confidence: 99%
“…[15][16][17][18] Generally, Cr 3+ with 3d 3 electron configuration exhibits a broad emission band (650~1600 nm) ascribing to the 4 T 2 → 4 A 2 transition, or a narrow emission band (~700 nm) due to the 2 E→ 4 A 2 radiation, which strongly depends on the crystal-field environment of the host lattices. In the intermediate or high-strength crystal filed, such as in ruby and alexandrite, 19, 20 2 E is the lowest excited state and the transition of 2 E→ 4 A 2 is doubly forbidden by parity and spin, which shows a long decay lifetime; while in a low-strength crystal field, 4 T 2 is the lowest excited state and the transition of 4 T 2 → 4 A 2 is spin-allowed, which results in a short decay lifetime. As a consequence, significant variety in temperature-dependent lifetime can be expected and a useful level control is made possible by modifying the crystal-field strength via the variation of the host material.…”
Section: Introductionmentioning
confidence: 99%
“…Previous studies concerning the defect structure of sapphire and other polymorphs of Al 2 O 3 have been essential in understanding its optical properties and methods to optimise its functionality. [4][5][6][7][8][9] These studies, however, have not connected the multiple optical processes that occur within and between these cation impurities in a complete analysis.…”
Section: Introductionmentioning
confidence: 99%