Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Express

Crystal field analysis of Dy and Tm implanted silicon for photonic and quantum technologies

Mark Hughes, Manon A. Lourenco, J. David Carey, Benedict N Murdin, Kevin Peter Homewood

Published Nov 17, 2014• 17 citations
Publisher

Abstract

implanted Si. Local symmetry was determined by fitting crystal field parameters (CFPs), corresponding to various common symmetries, to the ground state splitting determined by photoluminescence measurements. These CFP values were then used to calculate the splitting of every J manifold. We find that both Dy and Tm ions are in a Si substitution site with local tetragonal symmetry. Knowledge of rare-earth ion symmetry is important in maximising the number of optically active centres and for quantum technology applications where local symmetry can be used to control decoherence.

DOI
10.1364/oe.22.029292

Related papers

Optically modulated magnetic resonance of erbium implanted silicon

Mark Hughes, Heqing Li, Nafsika Theodoropoulou +1 more

Abstract Er implanted Si is a candidate for quantum and photonic applications; however, several different Er centres are generated, and their symmetry, energy level structure, magnetic and optical properties, and mutual interactions have been poorly understood, which has been a major barrier to the development of these applications. Optically modulated magnetic resonance (OMMR) gives a spectrum of the modulation of an electron paramagnetic resonance (EPR) signal by a tuneable optical field. Our OMMR spectrum of Er implanted Si agrees with three independent measurements, showing that we have made the first measurement of the crystal field splitting of the 4I13/2 manifold of Er implanted Si, and allows us to revise the crystal field splitting of the 4I15/2 manifold. This splitting originates from a photoluminescence (PL) active O coordinated Er centre with orthorhombic C2v symmetry, which neighbours an EPR active O coordinated Er centre with monoclinic C1h symmetry. This pair of centres could form the basis of a controlled NOT (CNOT) gate.

Scientific Reports•Dec 13, 2019•12 citations

CRYSTAL-FIELD SPLITTING OF Er3+ IN SILICON

Hongbing Lei, Qinqing Yang, WANG QI-MING +1 more

Rare earth element of erbium implanted into silicon was studied by photoluminescence,and nine spectral lines were observed.The analysis of the symmetry of crystal field shows that the nine spectral lines come from the crystal-field splitting of the transition 4I13/2→4I15/2.We concludethat the symmetry of the two low-energy excited (initial) state levels,in order of increasing energy,are Γ8 and Γ6, from which to the splitting state levels of 4I15/2 nine radiative transitions are allowed.Oxygen codopants can increase greatly the PL intensity of Er3+, but the spectral features are similar,indicating oxygen codopants can enhance the intensity of Td crystal field rather than change the Td symmetry of the crystal field on the Er3+ sites.

Acta Physica Sinica•Jan 1, 1998•7 citations

CRYSTAL FIELD SPLITTING OF Er 3+ IN SILICON

Ong B

Abstract Rare earth element of erbium implanted into silicon was studied by photoluminescence,and nine spectral lines were observed.The analysis of the symmetry of crystal field shows that the nine spectral lines come from the crystal field splitting of the transition 4 I 13/2 → 4 I 15/2 .We conclude that the symmetry of the two low energy excited (initial) state levels,in order of increasing energy,are Γ 8 and Γ 6 , from which to the splitting state levels of 4 I 15/2 nine radiative transitions are allowed.Oxygen codopants can increase greatly the PL intensity of Er 3+ , but the spectral features are similar,indicating oxygen codopants can enhance the intensity of T d crystal field rather than change the T d symmetry of the crystal field on the Er 3+ sites.

Acta Physica Sinica•Jan 1, 1998•0 citations

Rapid quench annealing of Er implanted Si for quantum networking applications

Mark Hughes, Huan Liu, Adam Brookfield +3 more

Erbium implanted silicon (Er:Si) is a promising platform for quantum networking applications, but a major obstacle is the formation of multiple Er centres. We show that the previously identified cubic centre (Er-C) has C2v or lower symmetry. Using crystal field analysis of Er-C and other Er centres, and by comparison with extended X-ray absorption fine structure (EXAFS) measurements, we show that Er centres can be arranged in a sequence, ranging from entirely Si coordinated, through mixed Si and oxygen (O) coordination, to entirely O coordinated. G-factors calculated from our crystal field fitting closely match those determined by Zeeman splitting and electron paramagnetic resonance (EPR) measurements. We co-implanted Si with Er and O (each to a concentration of 1019 cm-3). By increasing the quenching rate of the subsequent thermal anneal from ~100 °C/s to ~1000 °C/s, we change the dominant optically active centre, formed from Er2O3 clusters to the less energetically favourable Er-C centre with mixed Si and O coordination. Temperature dependent photoluminescence (PL) shows that Er2O3 clusters and Er-C centres have an O-related defect state at ~200 and 90 meV above the 4I13/2 Er manifold, respectively. PL lifetime measurements show that the Er2O3 clusters and Er-C centres fall into two or three classes, characterised by different non-radiative PL decay rates. Our high quench rate annealing process could facilitate the formation of a single, optically active Er centre, which is preferable for quantum networking applications of Er:Si.

arXiv:2408.09470•Aug 18, 2024•0 citations

Extending Phenomenological Crystal-Field Methods to C1 Point-Group Symmetry: Characterization of the Optically Excited Hyperfine Structure of Er1673+:Y2SiO5

Sebastian P. Horvath, Jelena V. Rakonjac, Yu‐Hui Chen +4 more

We show that crystal-field calculations for C_{1} point-group symmetry are possible, and that such calculations can be performed with sufficient accuracy to have substantial utility for rare-earth based quantum information applications. In particular, we perform crystal-field fitting for a C_{1}-symmetry site in ^{167}Er^{3+}:Y_{2}SiO_{5}. The calculation simultaneously includes site-selective spectroscopic data up to 20 000 cm^{-1}, rotational Zeeman data, and ground- and excited-state hyperfine structure determined from high-resolution Raman-heterodyne spectroscopy on the 1.5 μm telecom transition. We achieve an agreement of better than 50 MHz for assigned hyperfine transitions. The success of this analysis opens the possibility of systematically evaluating the coherence properties, as well as transition energies and intensities, of any rare-earth ion doped into Y_{2}SiO_{5}.

arXiv:1809.01058•Physical Review Letters•Jul 31, 2019•35 citations

Rapid quench annealing of Er implanted Si for quantum networking applications

Mark Hughes, Huan Liu, Adam Brookfield +3 more

Erbium-implanted silicon (Er) holds promise for quantum networking, but the formation of multiple Er centres poses a challenge. We show that the cubic centre (Er-C) has C2v or lower symmetry, with Er centres ranging from fully Si- to fully O-coordinated. By co-implanting Si with Er and O (each at 1019 cm-3) and increasing the thermal anneal quenching rate from ~100 °C/s to ~1000 °C/s, we shifted the dominant optically active centre from Er2O3 clusters to the less stable Er-C centre with mixed Si and O coordination. Temperature-dependent photoluminescence reveals Er2O3 clusters and Er-C centres have O-related defect states at ~200 and 90 meV above the 4I13/2 Er manifold, respectively.

Optics Express•Oct 29, 2024•1 citation
implanted Si. Local symmetry was determined by fitting crystal field parameters (CFPs), corresponding to various common symmetries, to the ground state splitting determined by photoluminescence measurements. These CFP values were then used to calculate the splitting of every J manifold. We find that both Dy and Tm ions are in a Si substitution site with local tetragonal symmetry. Knowledge of rare-earth ion symmetry is important in maximising the number of optically active centres and for quantum technology applications where local symmetry can be used to control decoherence.
Abstract Er implanted Si is a candidate for quantum and photonic applications; however, several different Er centres are generated, and their symmetry, energy level structure, magnetic and optical properties, and mutual interactions have been poorly understood, which has been a major barrier to the development of these applications. Optically modulated magnetic resonance (OMMR) gives a spectrum of the modulation of an electron paramagnetic resonance (EPR) signal by a tuneable optical field. Our OMMR spectrum of Er implanted Si agrees with three independent measurements, showing that we have made the first measurement of the crystal field splitting of the 4I13/2 manifold of Er implanted Si, and allows us to revise the crystal field splitting of the 4I15/2 manifold. This splitting originates from a photoluminescence (PL) active O coordinated Er centre with orthorhombic C2v symmetry, which neighbours an EPR active O coordinated Er centre with monoclinic C1h symmetry. This pair of centres could form the basis of a controlled NOT (CNOT) gate.
Rare earth element of erbium implanted into silicon was studied by photoluminescence,and nine spectral lines were observed.The analysis of the symmetry of crystal field shows that the nine spectral lines come from the crystal-field splitting of the transition 4I13/2→4I15/2.We concludethat the symmetry of the two low-energy excited (initial) state levels,in order of increasing energy,are Γ8 and Γ6, from which to the splitting state levels of 4I15/2 nine radiative transitions are allowed.Oxygen codopants can increase greatly the PL intensity of Er3+, but the spectral features are similar,indicating oxygen codopants can enhance the intensity of Td crystal field rather than change the Td symmetry of the crystal field on the Er3+ sites.
Abstract Rare earth element of erbium implanted into silicon was studied by photoluminescence,and nine spectral lines were observed.The analysis of the symmetry of crystal field shows that the nine spectral lines come from the crystal field splitting of the transition 4 I 13/2 → 4 I 15/2 .We conclude that the symmetry of the two low energy excited (initial) state levels,in order of increasing energy,are Γ 8 and Γ 6 , from which to the splitting state levels of 4 I 15/2 nine radiative transitions are allowed.Oxygen codopants can increase greatly the PL intensity of Er 3+ , but the spectral features are similar,indicating oxygen codopants can enhance the intensity of T d crystal field rather than change the T d symmetry of the crystal field on the Er 3+ sites.
Erbium implanted silicon (Er:Si) is a promising platform for quantum networking applications, but a major obstacle is the formation of multiple Er centres. We show that the previously identified cubic centre (Er-C) has C2v or lower symmetry. Using crystal field analysis of Er-C and other Er centres, and by comparison with extended X-ray absorption fine structure (EXAFS) measurements, we show that Er centres can be arranged in a sequence, ranging from entirely Si coordinated, through mixed Si and oxygen (O) coordination, to entirely O coordinated. G-factors calculated from our crystal field fitting closely match those determined by Zeeman splitting and electron paramagnetic resonance (EPR) measurements. We co-implanted Si with Er and O (each to a concentration of 1019 cm-3). By increasing the quenching rate of the subsequent thermal anneal from ~100 °C/s to ~1000 °C/s, we change the dominant optically active centre, formed from Er2O3 clusters to the less energetically favourable Er-C centre with mixed Si and O coordination. Temperature dependent photoluminescence (PL) shows that Er2O3 clusters and Er-C centres have an O-related defect state at ~200 and 90 meV above the 4I13/2 Er manifold, respectively. PL lifetime measurements show that the Er2O3 clusters and Er-C centres fall into two or three classes, characterised by different non-radiative PL decay rates. Our high quench rate annealing process could facilitate the formation of a single, optically active Er centre, which is preferable for quantum networking applications of Er:Si.
We show that crystal-field calculations for C_{1} point-group symmetry are possible, and that such calculations can be performed with sufficient accuracy to have substantial utility for rare-earth based quantum information applications. In particular, we perform crystal-field fitting for a C_{1}-symmetry site in ^{167}Er^{3+}:Y_{2}SiO_{5}. The calculation simultaneously includes site-selective spectroscopic data up to 20 000 cm^{-1}, rotational Zeeman data, and ground- and excited-state hyperfine structure determined from high-resolution Raman-heterodyne spectroscopy on the 1.5 μm telecom transition. We achieve an agreement of better than 50 MHz for assigned hyperfine transitions. The success of this analysis opens the possibility of systematically evaluating the coherence properties, as well as transition energies and intensities, of any rare-earth ion doped into Y_{2}SiO_{5}.
Erbium-implanted silicon (Er) holds promise for quantum networking, but the formation of multiple Er centres poses a challenge. We show that the cubic centre (Er-C) has C2v or lower symmetry, with Er centres ranging from fully Si- to fully O-coordinated. By co-implanting Si with Er and O (each at 1019 cm-3) and increasing the thermal anneal quenching rate from ~100 °C/s to ~1000 °C/s, we shifted the dominant optically active centre from Er2O3 clusters to the less stable Er-C centre with mixed Si and O coordination. Temperature-dependent photoluminescence reveals Er2O3 clusters and Er-C centres have O-related defect states at ~200 and 90 meV above the 4I13/2 Er manifold, respectively.