Distribution function of random strains in an elastically anisotropic continuum and defect strengths of Tm3+ impurity ions in crystals with zircon structure

B. Z. Malkin, N. M. Abishev, E. I. Baibekov, D. S. Pytalev, K. N. Boldyrev, M. N. Popova, and M. Bettinelli
Phys. Rev. B 96, 014116 – Published 24 July 2017
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Abstract

We construct a distribution function of the strain-tensor components induced by point defects in an elastically anisotropic continuum, which can be used to account quantitatively for many effects observed in different branches of condensed matter physics. Parameters of the derived six-dimensional generalized Lorentz distribution are expressed through the integrals computed over the array of strains. The distribution functions for the cubic diamond and elpasolite crystals and tetragonal crystals with the zircon and scheelite structures are presented. Our theoretical approach is supported by a successful modeling of specific line shapes of singlet-doublet transitions of the Tm3+ ions doped into ABO4 (A=Y, Lu; B=P, V) crystals with zircon structure, observed in high-resolution optical spectra. The values of the defect strengths of impurity Tm3+ ions in the oxygen surroundings, obtained as a result of this modeling, can be used in future studies of random strains in different rare-earth oxides.

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  • Received 12 February 2017
  • Revised 14 June 2017

DOI:https://doi.org/10.1103/PhysRevB.96.014116

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

B. Z. Malkin, N. M. Abishev, and E. I. Baibekov

  • Kazan Federal University, 18, Kremlevskaya Str., Kazan 420008, Russian Federation

D. S. Pytalev, K. N. Boldyrev, and M. N. Popova

  • Institute of Spectroscopy, Russian Academy of Sciences, 5, Fizicheskaya Str., Troitsk, Moscow 108840, Russian Federation

M. Bettinelli

  • Dipartimento di Biotecnologie, University of Verona and INSTM, Strada Le Grazie 15, Verona 37134, Italy

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Issue

Vol. 96, Iss. 1 — 1 July 2017

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