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RESEARCH PAPERS: Heat Conduction

Electron and Phonon Thermal Conduction in Epitaxial High-Tc Superconducting Films

[+] Author and Article Information
K. E. Goodson, M. I. Flik

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

J. Heat Transfer 115(1), 17-25 (Feb 01, 1993) (9 pages) doi:10.1115/1.2910646 History: Received June 01, 1991; Revised April 01, 1992; Online May 23, 2008

Abstract

Electrons and phonons are the carriers of heat in the a-b plane of the high-Tc superconductor YBa2 Cu3 O7 . In the absence of boundary scattering, the a-b plane thermal conductivity and the mean free path of each carrier type are calculated as functions of temperature using kinetic theory, the two-fluid model of the superconducting state, and experimental data for the thermal conductivity and electrical resistivity of a single crystal. The reduction by boundary scattering of the effective a-b plane thermal conductivity along an epitaxial YBa2 Cu3 O7 film is predicted as a function of temperature and film thickness. The size effect on the phonon conductivity dominates over the size effect on the electron conductivity. The predicted electron mean free path is limited by scattering on defects and is in very good agreement with experimental data from infrared spectroscopy.

Copyright © 1993 by The American Society of Mechanical Engineers
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