Summary
Using a modified Frölich Hamiltonian the excitation spectrum of the one-particle Green function is calculated in the Midgal approximation. For the electron-ion interaction and the phonon frequencies a model potential is assumed. In our assumptions it is found that the effective mass is simply connected to the band contribution, the Coulomb contribution and electron-phonon contribution. We calculate the electron-phonon term for alkaly metals. The enhancement with respect to the bare electronic mass is of (10÷20)%. Nearly 40% of the contribution comes fromU-processes.
Riassunto
Usando una hamiltoniana di Fröhlich modificata, si calcola lo spettro di eccitazione della funzione di Green a una particella nell’approssimazione di Migdal, assumendo un modello di potenziale per valutare 1’interazione elettrone-ione e le frequenze fononiche. Nelle nostre ipotesi, si trova cite la massa efflcace è connessa in modo semplice ai contributi di banda, coulombiano, ed elettrone-fonone. Si calcola il termine dovuto all’interazione elettrone-fonone per i metalli alcalini e si trova un aumento dell’ordine del (10÷20)% rispetto alia massa elettronica «nuda». Inoltre circa il 40% di tale contribute proviene da processi «Umklapp».
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Animalu, A.O.E., Bonsignori, F. & Bortolani, V. Electron-phonon contribution to the specific heat of alkalines. Nuovo Cimento B (1965-1970) 42, 83–92 (1966). https://doi.org/10.1007/BF02710831
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DOI: https://doi.org/10.1007/BF02710831