The influence of phonon softening on the superconducting critical temperature of Sn nanostructures

Author:

Houben Kelly,Jochum Johanna K.ORCID,Couet Sebastien,Menéndez EnricORCID,Picot Thomas,Hu Michael Y.ORCID,Zhao Jiyong Y.,Alp E. Ercan,Vantomme André,Temst Kristiaan,Van Bael Margriet J.

Abstract

AbstractThe increase in superconducting transition temperature (TC) of Sn nanostructures in comparison to bulk, was studied. Changes in the phonon density of states (PDOS) of the weakly coupled superconductor Sn were analyzed and correlated with the increase in TC measured by magnetometry. The PDOS of all nanostructured samples shows a slightly increased number of low-energy phonon modes and a strong decrease in the number of high-energy phonon modes in comparison to the bulk Sn PDOS. The phonon densities of states, which were determined previously using nuclear resonant inelastic X-ray scattering, were used to calculate the superconducting transition temperature using the Allen-Dynes-McMillan (ADMM) formalism. Both the calculated as well as the experimentally determined values of TC show an increase compared to the bulk superconducting transition temperature. The good agreement between these values indicates that phonon softening has a major influence on the superconducting transition temperature of Sn nanostructures. The influence of electron confinement effects appears to be minor in these systems.

Funder

Research Foundation-Flanders (FWO) Concerted Research Action

U.S. Department of Energy

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

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