Isotope effect on $m^*$ in high-T_c materials due to the breakdown of Migdal's theorem

Details Isotope effect on $m^*$ in high-T_c materials due to the breakdown of Migdal's theorem Isotope effect on $m^*$ in high-T_c materials due to the breakdown of Migdal's theorem

1997-10-15

arxiv.org/abs/cond-mat/9710159v3

Europhys. Lett., vol. 42, 667-672 (1998)

Physics

Condensed Matter

Superconductivity

6 pages, revtex (euromacr.tex,europhys.sty); 3 postscript figures

Scientific paper

10.1209/epl/i1998-00303-0

We show that the inclusion of effects beyond Migdal's limit in the electron-phonon interaction naturally leads to an isotope effect for the effective mass $m^{*}$ of the charge carriers even much before reaching the polaron limit. This is the situation already considered in our approach to nonadiabatic superconductivity. Such a result provides a scenario different from the polaronic one for the interpretation of the recently observed isotope effect on $m^{*}$ in YBa$_{2}$Cu$_{3}$O$_{6+x}$ and La$_{2-x}$Sr$_{x}$CuO$_{4}$.

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