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aänetic Resonance in Solids
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Volume 19, Issue 2 Paper No 17206, 1-4 pages 2017
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Yoshio Kitaoka (Osaka University,
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Boris Malkin (KFU, Kazan) Alexander Shengelaya (Tbilisi State University, Tbilisi) Jörg Sichelschmidt (Max Planck Institute for Chemical Physics of Solids, Dresden) Haruhiko Suzuki (Kanazawa University, Kanazava) Murat Tagirov (KFU, Kazan) Dmitrii Tayurskii (KFU, Kazan) Valentine Zhikharev (KNRTU,
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* In Kazan University the Electron Paramagnetic Resonance (EPR) was discovered by Zavoisky E.K. in 1944.
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Short cite this: Magn. Reson. Solids 19, 17206 (2017)
Superhyperfine interactions in Ce3+ doped LiYF4 crystal: ENDOR measurements
MR. Gafurov*, G.V. Mamin, I.N. Kurkin, A.A. Rodionov, S.B. Orlinskii
Kazan Federal University, Kremlevskaya 18, Kazan 420008, Russia
*E-mail: [email protected]
(Received November 10, 2017; revised December 13, 2017; accepted December 13, 2017)
The first observation of the resolved Mims electron-nuclear double resonance (ENDOR) spectra from the nearby and remote nuclei of 19F and 7Li nuclei on impurity Ce3+ ions in LiYF4 crystal is reported. It shows that LiYF4:Ce3+ system can be exploited as a convenient matrix for performing spin manipulations and adjusting quantum computation protocols while ENDOR technique could be used for the investigation of electron-nuclear interaction with all the nuclei of the system and exploited for the electron-nuclear spin manipulations
PACS: 76.70.Dx, 75.10.Dg, 61.43.Bn. Keywords: crystal, fluoride, rare earth, ENDOR, EPR.
1. Introduction
As a significant class of rare earth compounds, rare earth (RE) fluorides (REF) have been become anew a research focus in the material science due to their unique applications in optical communications, three-dimensional displays, solid-state laser, catalysis, solar cells, biochemical probes and medical diagnostics. They also has been regarded as the excellent host lattices for performing multicolor upconversion luminescence of the doped RE ions, due to their low phonon energy, high chemical stability and good optical transparency over a wide wavelength range. [1, 2].
Apart from being the cornerstone of modern laser technology, crystals and glasses doped with RE metals are known to have excellent properties for classical and quantum information storage and for performing quantum computation protocols [3-5]. In addition, LiYF4 crystals, having a relatively simple crystalline structure and growing almost without defects, are unique model systems for studying the crystal field, electron-phonon, interionic, hyperfine interactions, and also isotopic effects [6]. To make good use of the excellent properties of REF, their morphology and microstructure should be carefully controlled. One of the powerful method of the RE doped crystals inspection is an electron paramagnetic/spin resonance (EPR/ESR). The interaction of paramagnetic ions in crystals with the magnetic moments of the ligand nuclei (superhyperfine interaction) usually leads to broadening of the EPR lines, their overlap and even the impossibility of observing the allowed superhyperfine structure (SHS) in the spectra [6]. Analysis of the SHS allows one to obtain important information on inter-ion interactions and distribution of electron spin density in crystals. For fluoride systems, SHS can vary in a huge range even in the same ligand environment depending on the paramagnetic ion: from 10 MHz for RE ions up to 300 MHz for Pb3+ [7, 8]. The nuclear Zeeman splitting for F- in the X-band (about 9 GHz) range is also of about 10 MHz that complicates the decoding of the EPR spectra.
To the best of our knowledge, up to now in LiYF4: Ce3+ systems the SHS with only the nearest fluorine environment (first coordination sphere) has been experimentally and theoretically investigated. Here we show that exploiting pulsed electron-nuclear double resonance (ENDOR) techniques one can study and use the superhyperfine interaction with the remote nuclei.
2. Experimental Part
Crystals of LiYF4 doped with « 0.05 at % of Ce3+ were grown in Kazan Federal University by the
Bridgman-Stockbarger technique in argon atmosphere. EPR investigations were done by using helium
flow cryostats by using X-band ESP 300 and Bruker Elexsys E580 spectrometers (T = 5-25 K,
microwave frequency v « 9.5 GHz). We used two-pulse field swept electron spin echo (FS ESE) measurements for the detection of the primary Hahn-echo (%/2 - x - % - echo), where t is the interpulse delay time of 240 ns, with initial n/2 and n pulse lengths of 18 and 36 ns, respectively. For ENDOR experiments we used special double (for nuclei and electron) cavities and Mims pulse sequence (%/2 - x - %/2 - T - %/2) with an additional radiofrequency (RF) pulse %rf = 18 ^.s inserted between the second and third microwave %/2 pulses. RF frequency in our setup could be swept in the range of 1-200 MHz. In the presented ENDOR results value of the magnetic field B was kept constant, corresponding to the orientation of B i c (c is the optical axis of crystal). Some basics of ENDOR are briefly described, for example, in our papers [9, 10].
3. Results and Discussion
Conventional EPR spectrum from Ce3+ ions is shown in Fig. 1. Resonant magnetic fields in the orientations B || c and B i c correspond to the g factors given in ref. [11]: gll = 2.737; gi = 1.475. For Ce3+ ions none of the stable isotopes (136Ce, 138Ce, 140Ce, 142Ce) has a nuclear spin and, therefore, no hyperfine structure (HFS) exists.
The position of ENDOR spectrum and ENDOR splitting, aENDOR, can help not only to identify a type of nuclei coupled with the electron spins but also provide spatial relationships between them. Additionally, for I >1 an electric nuclear quadrupole coupling exists that can split or shift the ENDOR lines: the nuclear quadrupole interaction is sensitive to the electric field gradient at the site of the nucleus. While for the nearby nuclei a scalar coupling (also known as Fermy contact coupling or influence of the covalent bonding) should be taken into account, for the remote nuclei the pure electron-nuclei dipole-dipole interaction is often a good approximation. Indeed, earlier conventional ENDOR measurements for rare-earth ions in cubic and also in tetragonal sites in CaF2 crystals have shown very little covalent bonding between the rare-earth ion (including Ce3+ one) and fluorine nuclei even for the nearest environment [12, 13].
All nuclei in LiYF4 compound have sensible magnetic moment capable to create a perceptible additional magnetic field at the location of the RE impurity. In Table 1 some data for them which are important for the interpretation of ENDOR spectra are given.
ENDOR spectra for B i c presented in Fig. 2 are clearly due to the electron-nuclear interactions with 7Li and 19F isotopes. For other crystal orientations the ENDOR spectra shift correspondingly to the B value (data are not shown). The ability to observe narrow ENDOR lines at various RF frequencies from the Larmor ones testifies that Ce3+ is an appropriate probe to sense remote nuclei. The knowledge of the nuclear gyromagnetic ratios (Table 1) permits to define the values of g components obtained by the stationary method precisely: g|| = 2.7374, gi = 1.4752.
Table 1. Nuclear spin, natural abundance, relative gyromagnetic ratio and calculated Larmor frequency in B = 4720 G for the LiYF4 nuclei.
Nuclei Isotope I Natural Relative to 1H Larmor frequency
abundance, % gyromagnetic ratio (B = 4720 G), MHz
3Li 6 1 7.6 0.1471 2.96
7 3/2 92.4 0.3887 7.81
9f 19 1/2 100 0.9413 18.91
39y 89 1/2 100 0.0492 0.99
4500 4550 4600 4650
B, G
Figure 1. EPR line detected by conventional EPR technique with the SHS of Ce3+ ions in LiYF4. B i c, T = 20 K, v = 9.38 GHz.
M.R.Gafurov, G. V.Mamin, I.N. Kurkin et al
= 7.812 MHz
,= 18.917 MHz
r\
amin = 017 MHz
19
F
7.0 7.5 8.0 8.5
ENDOR frequency, MHz
9.0
17 18 19 20 ENDOR frequency, MHz
21
22
Figure 2. ENDOR spectra caused by interactions with 7Li (left panel) and 19F (right panel) isotopes in LiYF4: Ce3+ monocrystals for B ± c orientation. B = 4721 G, T = 10 K, v = 9.75 GHz. Corresponding Larmor frequencies are marked by arrows. Dashed lines mark the minimal observed ENDOR splitting for 19F.
V
V
Technical limitations did not allow us to register low frequency (RF frequency of about and less than 1 MHz) ENDOR features which probably exist due to the presence of 39Y nuclei. Interpretation of 7Li ENDOR is complicated due to the influence of quadrupole interaction (I = 3/2, see Table 1) and is on the way.
Following the results and conclusions of papers [14, 15] for zinc oxide crystals, we suppose that the observed multitude of 19F ENDOR lines in Fig. 2 indicates that we are dealing with a de localized electron spin density of Ce3+ ions. Exact estimation of the electron-nuclear distance to the first neighbours and to the most remote nuclei is a quite demanding task [16]. We hope that high frequency (microwave frequency of 94 GHz) experiments will shed light on the distribution of the electron density and will give the detailed information of electron-nuclear interactions in fluorides.
The rich, well-resolved, intensive ENDOR spectra show that LiYF4:Ce3+ system potentially can be used as an element (or model system) of the many qubit quantum computer. Indeed, it is known that electrons are natural candidates as physical qubits to be exploited for quantum computing and information processing (QC/QIP), and therefore magnetic resonance techniques, consisting of EPR and NMR are among the most appropriate techniques to be exploited for quantum computing. Pulsed EPR enables manipulation of electron spin and nuclear spin qubits in an equivalent manner and ENDOR can be used as the most useful spin manipulation technology in implementing QCs/QIPSs. The comprehensive review of the application of ENDOR techniques in quantum computations up to date is given in [17]. But to the best of our knowledge, up to now REF was not even considered as an appropriate system for the realization of many qubits operations.
Acknowledgments
The work is financially supported by the Russian Science Foundation, Project # 17-72-20053. References
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