Dielectrics

Quantum theory of the piezoelectric effect in rare-earth ferroborates

A. I. Popov^ab, D. I. Plokhov^cd, A. K. Zvezdin<sup>ce

a</sup> National Research University of Electronic Technology, Moscow, Zelenograd, Russia
^b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russia
^c Prokhorov General Physics Institute of the Russian Academy of Sciences, Moscow, Russia
^d Peoples' Friendship University of Russia, Moscow, Russia
^e P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia

Abstract: Quantum theory of piezoelectric effect in rare-earth ferroborates has been developed. It was found that single-ion mechanisms are predominantly responsible for the effect: electric dipole moments are induced directly in the electronic 4$f$ shells of rare-earth ions in the presence of mechanical stresses in a crystal, which leads to the polarization of the crystal. The effect is quantitatively considered using the example of neodymium and samarium ferroborates, in particular, in the temperature range from 0 K to 300 K, the temperature dependences of piezoelectric modules are obtained. It is additionally shown that it is also possible for the crystal to become polarized along the crystallographic $c$-axis at the temperatures below the Néel point upon deformation of the crystal in a magnetic field. The temperature, field and orientation dependences of magnetically induced piezomodules are calculated.

Keywords: piezoelectric effect, ferroborates, rare-earth ions, crystal field.

Received: 19.11.2020
Revised: 19.11.2020
Accepted: 20.11.2020

DOI: 10.21883/FTT.2021.03.50592.241

 English version: Physics of the Solid State, 2021, 63:3, 477–484

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