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In this article, I discuss W.Kohn's criterion for a metal insulator transition, within the framework of a one band Hubbard model. This and related ideas are applied to 1-dimensional Hubbard systems, and some intersting miscellaneous results…

Condensed Matter · Physics 2015-06-25 B. Sriram Shastry

Topological superconductivity is expected to spur Majorana zero modes -- exotic states that are also considered a quantum technology asset. Fractional Josephson effect is their manifestation in electronic transport measurements, often under…

In this work, we manipulate the phase shift of a Josephson junction using a parallel double quantum dot (QD). By employing a superconducting quantum interference device, we determine how orbital hybridization and detuning affect the…

We extend the scattering theory of the Josephson effect to include a coupling of the Josephson junction to a gapless electron reservoir in the normal state. By opening up the system with a quasiparticle escape rate $1/\tau$, the…

Superconductivity · Physics 2024-09-17 C. W. J. Beenakker

The quasicharge superconducting qubit realizes the dual of the transmon and shows strong robustness to flux and charge fluctuations thanks to a very large inductance closed on a Josephson junction. At the same time, a weak anharmonicity of…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 Luca Chirolli , Matteo Carrega , Francesco Giazotto

Resistivity saturation is found on both superconducting and insulating sides of an "avoided" magnetic-field-tuned superconductor-to-insulator transition (H-SIT) in a two-dimensional In/InO$_x$ composite, where the anomalous metallic…

Superconductivity · Physics 2022-10-17 Xinyang Zhang , Alexander Palevski , Aharon Kapitulnik

We study theoretically the large variations of the supercurrent through a normal dot that are induced by a small quasiparticle injection current from normal leads connected to the dot. We find that the supercurrent decomposes into a subgap…

Superconductivity · Physics 2022-12-07 Sarath Sankar , Julia S. Meyer , Manuel Houzet

Topological superconductors differ from topologically trivial ones for the presence of topologically protected zero-energy modes. To date, experimental evidence of topological superconductivity in nanostructures has been mainly obtained by…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 Pasquale Marra , Roberta Citro , Alessandro Braggio

Superconductivity derives its most salient features from the coherence of its macroscopic wave function. The associated physical phenomena have now moved from exotic subjects to fundamental building blocks for quantum circuits such as…

Mesoscale and Nanoscale Physics · Physics 2015-07-10 Benoit Gaury , Joseph Weston , Xavier Waintal

A planar Josephson junction is a versatile platform to realize topological superconductivity over a large parameter space and host Majorana bound states. With a change in Zeeman field, this system undergoes a transition from trivial to…

Mesoscale and Nanoscale Physics · Physics 2024-07-25 Barış Pekerten , David Brandão , Bailey Bussiere , David Monroe , Tong Zhou , Jong E. Han , Javad Shabani , Alex Matos-Abiague , Igor Žutić

We have demonstrated a novel type of superconducting transmon qubit in which a Josephson junction has been engineered to act as its own parallel shunt capacitor. This merged-element transmon (MET) potentially offers a smaller footprint and…

For Josephson junctions based on s-wave superconductors, time-reversal symmetry is known to allow for powerful relations between the normal-state junction properties, the excitation spectrum, and the Josephson current. Here we provide…

Mesoscale and Nanoscale Physics · Physics 2018-08-10 E. A. Mellars , B. Béri

We present the design of a superconducting qubit that has circulating currents of opposite sign as its two states. The circuit consists of three nano-scale aluminum Josephson junctions connected in a superconducting loop and controlled by…

Condensed Matter · Physics 2009-10-31 T. P. Orlando , J. E. Mooji , Lin Tian , Caspar H. van der Wal , L. Levitov , Seth Lloyd , J. J. Mazo

The interfacial coupling of two materials with different ordered phases, such as a superconductor (S) and a ferromagnet (F) is driving new fundamental physics and innovative applications. For example, the creation of spin-filter Josephson…

Superconductivity · Physics 2015-06-29 D. Massarotti , A. Pal , G. Rotoli , L. Longobardi , M. G. Blamire , F. Tafuri

In Josephson diodes the asymmetry between positive and negative current branch of the current-phase relation leads to a polarity-dependent critical current and Josephson inductance. The supercurrent nonreciprocity can be described as a…

We theoretically analyse a long constriction between the helical edge states of a two-dimensional topological insulator. The constriction is laterally tunnel-coupled to two superconductors and a magnetic field is applied perpendicularly to…

Mesoscale and Nanoscale Physics · Physics 2022-05-17 Lucia Vigliotti , Alessio Calzona , Björn Trauzettel , Maura Sassetti , Niccolò Traverso Ziani

It is shown that the Josephson current in $S-I-S$---geometry is zero, if one or both superconductors possess the gap odd over $p-p_{F}$. For the odd-frequency pairing the Josephson current is zero in case of the tunneling between the…

Condensed Matter · Physics 2007-05-23 M. V. Sadovskii

We identify optimal operating conditions of an entangling two-qubit gate realized by a capacitive coupling of two superconducting charge qubits in a transmission line resonator (the so called "transmons"). We demonstrate that the…

Superconductivity · Physics 2012-05-30 A. D'Arrigo , E. Paladino

Superconductor-Ferromagnetic-Superconductor (SFS) Josephson junctions are known to exhibit a transition between $\pi$ and 0 states. In this note we find the $\pi-0$ phase diagram of an SFS junction depending on the transparency of an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 N. M. Chtchelkatchev , W. Belzig , Yu. V. Nazarov , C. Bruder

An effective Hamiltonian is derived for two coupled three-Josephson-junction (3JJ) qubits. This is not quite trivial, for the customary "free" 3JJ Hamiltonian is written in the limit of zero inductance L. Neglecting the self-flux is already…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alec Maassen van den Brink