Phonon transport features in dielectrics with nanostructured inhomogeneities

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Abstract

The peculiarities of heat capacity and phonon spectrum in single crystals of yttrium-rare earth aluminum garnets solid solutions Y3–xRexAl5O12 (Re-Ho;Er) prone to clustering are analyzed. It was shown that nanoscale inhomogeneities in single crystals of solid solutions can be responsible for the formation of additional local modes in heat capacity in the low-temperature region.

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About the authors

S. A. Nikitov

Kotelnikov Institute of Radioengineering and Electronics of RAS

Email: taranov@cplire.ru
Russian Federation, Mokhovaya Str., 11, build. 7, Moscow, 125009

A. V. Taranov

Kotelnikov Institute of Radioengineering and Electronics of RAS

Author for correspondence.
Email: taranov@cplire.ru
Russian Federation, Mokhovaya Str., 11, build. 7, Moscow, 125009

E. N. Khazanov

Kotelnikov Institute of Radioengineering and Electronics of RAS

Email: taranov@cplire.ru
Russian Federation, Mokhovaya Str., 11, build. 7, Moscow, 125009

E. V. Charnaya

St. Petersburg State University

Email: taranov@cplire.ru

Physics Department 

Russian Federation, Ylyanovskaya Str., 3, Peterhof, St. Petersburg, 198504

E. V. Shevchenko

St. Petersburg State University

Email: taranov@cplire.ru

Physics Department 

Russian Federation, Ylyanovskaya Str., 3, Peterhof, St. Petersburg, 198504

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Supplementary files

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2. Fig. 1. Dependences of the heat capacity of single crystals and glass of pentaphosphates and quartz in the region of high (a) and low (b) temperatures: single crystal NdP5O14 (+); YbP5O14 (o); glass NdP5O14 (x) [11]; single crystal SiO2 (Δ); glass SiO2 (Ñ) [3]. Debye heat capacity (dash-dotted line), local modes (dotted line); approximation (solid line).

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3. Fig. 2. Dependence C(T) in Y2HoAl5O12 taking into account the superposition of vibrational states of Ho and Y (a) and the values of C(T) for the Y2LuAl5O12 sample (b): Y2HoAl5O12 (solid line); Y2HoAl5O12 (curve 5). Contribution to the heat capacity of the Schottky anomalies (curve 1), the Debye phonon heat capacity (curve 2), local modes θ Ho and Y (curve 3) and the local mode due to clustering (curve 4). Dashed lines are the sum of all contributions.

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4. Fig. 3. Dependences C(T) in solid solutions Y3–xErxAl5O12 at x = 0.6 (a) and x = 1 (b)); contribution to the heat capacity of the Schottky anomalies due to the splitting of the lower Kramers doublet Δ (0.6 and 1.3 K, respectively) and the lower excited Stark level of 34 K (curve 1), the Debye phonon heat capacity (curve 2), the superposition of local modes θ Er and Y (curve 3) and the additional mode of 72 and 50 K, respectively (curve 4); dashed lines are the sum of all contributions.

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