Abstract
In this article, we provide an overview of the scientific contributions of Frank W. J. Hekking to the fields of mesoscopic electron transport and superconductivity as well as atomic gases. Frank Hekking passed away in May 2017. We hope that the present review gives a faithful testimony of his scientific legacy.
Highlights
One-dimensional conductorsA recurring theme in Frank Hekking’s research was electron transport in mesoscopic onedimensional conductors
This review provides an overview of his scientific contributions to several fields of mesoscopic electron transport and superconductivity as well as atomic gases, and is organized along sections describing the different themes
The factor (N / s)−g, obtained in Ref. [97], strongly resembles the one obtained by Frank Hekking and Leonid Glazman much earlier [31] for the quantum phase slips (QPSs) amplitude on a Josephson junction included in a loop made of a superconducting wire
Summary
A recurring theme in Frank Hekking’s research was electron transport in mesoscopic onedimensional conductors. Besides a quantitative analysis of this effect, Frank Hekking and collaborators provided a physical interpretation (see Fig. 2 bottom right) based on Hekking’s work on the two-electron tunnelling processes that give rise to the subgap current [16, 17]: Two-electron tunnelling is a coherent process and its main contribution stems from two nearly time-reversed electrons k1 k2 located at the energy window δε ∼ eV, T around the Fermi level [28], defined by the applied voltage and the temperature (cf Fig. 2 bottom right). In collaboration with experimentalists, Frank Hekking and his student Angelo Di Marco investigated theoretically how photon-assisted tunneling processes due to the presence of a high-temperature environment influence the accuracy of a hybrid single-electron turnstile [46] This device consists of a gate-controlled normal-metal island connected to two voltage-biased superconducting leads by means of two tunnel junctions. It is regrettable that Frank Hekking could not continue this work towards experimentally feasible systems and protocols
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