article published Maksym Serbyn author 47809E7E-F248-11E8-B48F-1D18A9856A870000-0002-2399-5827 Patrick Lee author We investigate the isotope effect on the London penetration depth of a superconductor which measures n S/m*, the ratio of superfluid density to effective mass. We use a simplified model of electrons weakly coupled to a single phonon frequency ω E, but assume that the energy gap Δ does not have any isotope effect. Nevertheless, we find an isotope effect for n S/m* which is significant if Δ is sufficiently large that it becomes comparable to ω E, a regime of interest to high-T c cuprate superconductors and possibly other families of unconventional superconductors with relatively high T c. Our model is too simple to describe the cuprates and it gives the wrong sign of the isotope effect when compared with experiment, but it is a proof of principle that the isotope effect exists for n S/m* in materials where the pairing gap and T c are not of phonon origin and have no isotope effect. American Physical Society2011 10.1103/PhysRevB.83.024506 832 yes M. Serbyn, P. Lee, Physical Review B - Condensed Matter and Materials Physics 83 (2011). Serbyn M, Lee P. 2011. Isotope effect on the superfluid density in conventional and high-temperature superconductors. Physical Review B - Condensed Matter and Materials Physics. 83(2). Serbyn, Maksym, and Patrick Lee. “Isotope Effect on the Superfluid Density in Conventional and High-Temperature Superconductors.” <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society, 2011. <a href="https://doi.org/10.1103/PhysRevB.83.024506">https://doi.org/10.1103/PhysRevB.83.024506</a>. Serbyn, M., &#38; Lee, P. (2011). Isotope effect on the superfluid density in conventional and high-temperature superconductors. <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevB.83.024506">https://doi.org/10.1103/PhysRevB.83.024506</a> Serbyn, Maksym, and Patrick Lee. “Isotope Effect on the Superfluid Density in Conventional and High-Temperature Superconductors.” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 83, no. 2, American Physical Society, 2011, doi:<a href="https://doi.org/10.1103/PhysRevB.83.024506">10.1103/PhysRevB.83.024506</a>. M. Serbyn and P. Lee, “Isotope effect on the superfluid density in conventional and high-temperature superconductors,” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 83, no. 2. American Physical Society, 2011. Serbyn M, Lee P. Isotope effect on the superfluid density in conventional and high-temperature superconductors. <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2011;83(2). doi:<a href="https://doi.org/10.1103/PhysRevB.83.024506">10.1103/PhysRevB.83.024506</a> 9692018-12-11T11:49:28Z2021-01-12T08:22:19Z