1. Thermal relaxation in metal films limited by diffuson lattice excitations of amorphous substrates
- Author
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V. S. Khrapai, A. I. Kardakova, A. V. Semenov, Gregory Goltsman, Louis Veyrat, N.A. Titova, Elmira M. Baeva, Benjamin Sacépé, Moscow City Pedagogical University, Nano-Electronique Quantique et Spectroscopie (QuNES), Institut Néel (NEEL), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA), Moscow Institute of Physics and Technology [Moscow] (MIPT), and institute of solide state physics, Moscow
- Subjects
Condensed Matter - Materials Science ,Materials science ,Condensed matter physics ,Phonon ,Mean free path ,Lattice (group) ,Materials Science (cond-mat.mtrl-sci) ,FOS: Physical sciences ,General Physics and Astronomy ,02 engineering and technology ,Substrate (electronics) ,021001 nanoscience & nanotechnology ,Coupling (probability) ,01 natural sciences ,Amorphous solid ,[PHYS.COND.CM-S]Physics [physics]/Condensed Matter [cond-mat]/Superconductivity [cond-mat.supr-con] ,Condensed Matter::Materials Science ,Thermal conductivity ,0103 physical sciences ,010306 general physics ,0210 nano-technology ,Diffuson ,[PHYS.COND.CM-MSQHE]Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall] - Abstract
Here we examine the role of the amorphous insulating substrate in the thermal relaxation in thin NbN, InO$_x$, and Au/Ni films at temperatures above 5 K. The studied samples are made up of metal bridges on an amorphous insulating layer lying on or suspended above a crystalline substrate. Noise thermometry was used to measure the electron temperature $T_e$ of the films as a function of Joule power per unit of area $P_{2D}$. In all samples, we observe the dependence $P_{2D}\propto T_e^n$ with the exponent $n\simeq 2$, which is inconsistent with both electron-phonon coupling and Kapitza thermal resistance. In suspended samples, the functional dependence of $P_{2D}(T_e)$ on the length of the amorphous insulating layer is consistent with the linear $T$-dependence of the thermal conductivity, which is related to lattice excitations (diffusons) for the phonon mean free path smaller than the dominant phonon wavelength. Our findings are important for understanding the operation of devices embedded in amorphous dielectrics., 9 pages, 5 figures
- Published
- 2021
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