RECONSTRUCTION OF ELECTRON-PHONON INTERACTION FUNCTION FROM TEMPERATURE-DEPENDENCE OF ELECTRICAL-RESISTIVITY FOR METALS

The determination of the electron-phonon interaction function (EPIF) f rom the temperature dependence of the electrical resistivity (TDER) fo r metals within a selected moderate temperature range is numerically d emonstrated based on the general theory of the amplitude-phase-retriev al problem and an iterative algorithm. From the model calculation, the convergent solution can be obtained; however, the profile of the reco vered EPIF depends on the initial frequency distribution used in the a lgorithm since this inversion problem is inherently ill-posed. In orde r to get reasonable result, it is necessary to introduce additional in formation about the feature of the EPIF for guiding the choice of the initial distribution. The algorithm can also furnish a robust reconstr uction of EPIF from TDER contaminated with random noise. It means that this algorithm is relatively stable and insensitive to external pertu rbation; therefore in a sense, the presented algorithm overcomes the i ll-posedness of the inversion problem.