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We study a Josephson junction ladder in a magnetic field in the absence of charging effects via a transfer matrix formalism. The eigenvalues of the transfer matrix are found numerically, giving a determination of the different phases of the…

Condensed Matter · Physics 2009-10-28 Colin Denniston , Chao Tang

We consider a Josephson junction consisting of superconductor/ferromagnetic insulator (S/FI) bilayers as electrodes which proximizes a nearby 2D electron gas. By starting from a generic Josephson hybrid planar setup we present an exhaustive…

Superconductivity · Physics 2018-07-11 P. Virtanen , F. S. Bergeret , E. Strambini , F. Giazotto , A. Braggio

In superconductor-topological insulator-superconductor hybrid junctions, the barrier edge states are expected to be protected against backscattering, to generate unconventional proximity effects, and, possibly, to signal the presence of…

We consider the effect of positional disorder on a Josephson junction array with an applied magnetic field of f=1/2 flux quantum per unit cell. This is equivalent to the problem of random Gaussian phase shifts in the fully frustrated 2D XY…

Superconductivity · Physics 2009-10-31 Pramod Gupta , S. Teitel

During the last fourteen years several exact results were obtained for the so-called boundary sine-Gordon model. In the case of a conformal bulk this 2D boundary quantum field theory describes the universal scaling behavior of the…

Other Condensed Matter · Physics 2010-12-17 Sergei L. Lukyanov , Philipp Werner

We study analytically a current-biased topological Josephson junction supporting $\mathbb{Z}_n$ parafermions. First, we show that in an infinite-size system a pair of parafermions on the junction can be in $n$ different states; the…

Superconductivity · Physics 2021-05-26 Aleksandr E. Svetogorov , Daniel Loss , Jelena Klinovaja

Remarkably, complex assemblies of superconducting wires, electrodes, and Josephson junctions are compactly described by a handful of collective phase degrees of freedom that behave like quantum particles in a potential. The inductive wires…

Topological superconductors can support localized Majorana states at their boundaries. These quasi-particle excitations have non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected…

We report theoretical and experimental work on the development of a Josephson vortex qubit based on a confocal annular Josephson tunnel junction (CAJTJ). The key ingredient of this geometrical configuration is a periodically variable width…

Superconductivity · Physics 2017-12-27 Roberto Monaco , Jesper Mygind , Valery P. Koshelets

We investigate the static properties of 0-$\pi$ Josephson junctions, with particular emphasis on their application in superconducting quantum circuits. Using a theoretical framework based on the sine-Gordon equation, we analyze the phase…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 N. Stefanakis

As part of the intense effort towards identifying platforms in which Majorana bound states can be realized and manipulated to perform qubit operations, we propose a topological Josephson junction architecture that achieves these…

Mesoscale and Nanoscale Physics · Physics 2020-11-03 Suraj S. Hegde , Guang Yue , Yuxuan Wang , Erik Huemiller , D. J. Van Harlingen , Smitha Vishveshwara

Most superconducting qubits operate in a regime dominated by either the electrical charge or the magnetic flux. Here we study an intermediate case: a hybridized charge-flux qubit with a third Josephson junction (JJ) added into the SQUID…

Superconductivity · Physics 2009-11-10 J. Q. You , J. S. Tsai , Franco Nori

We propose a Josephson junction array which can be tuned into an unconventional insulating state by varying external magnetic field. This insulating state retains a gap to half vortices; as a consequence, such array with non-trivial global…

Strongly Correlated Electrons · Physics 2009-11-07 B. Douçot , M. V. Feigel'man , L. B. Ioffe

We show analytically that the dynamical equations for an underdamped ladder of coupled small Josephson junctions can be approximately reduced to the discrete sine-Gordon equation. As numerical confirmation, we solve the coupled Josephson…

Condensed Matter · Physics 2009-10-28 Seungoh Ryu , Wenbin Yu , D. Stroud

We consider the ground state configurations of the Josephson vortex lattice in layered superconductors. Due to commensurability effects with the layered structure, the lattice has multiple configurations, both aligned with layers and…

Superconductivity · Physics 2007-05-23 A. E. Koshelev

The quantum mechanics of the Josephson effect is the core ingredient for quantum technologies with superconducting circuits. A new avenue was recently opened in this field by predicting that the Josephson quantum mechanics in the odd parity…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

We examine the possibility that pertinent impurities in a condensed matter system may help in designing quantum devices with enhanced coherent behaviors. For this purpose, we analyze a field theory model describing Y- shaped superconducting…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. Giuliano , P. Sodano

Amplifiers based on Josephson junctions allow for a fast and noninvasive readout of superconducting qubits. Motivated by the ongoing progress toward the realization of fault-tolerant qubits based on Majorana bound states, we investigate the…

Superconductivity · Physics 2021-07-19 Samuel Boutin , Pedro L. S. Lopes , Anqi Mu , Udson C. Mendes , Ion Garate

We consider an annular superconductor-insulator-superconductor Josephson-junction, with the insulator being a double layer of electron and holes at Abelian fractional quantum Hall states of identical fillings. When the two superconductors…

Mesoscale and Nanoscale Physics · Physics 2015-07-02 Eran Sagi , Yuval Oreg , Ady Stern , Bertrand I. Halperin

Majorana zero modes (MZMs) in condensed matter systems have attracted great attention in the past two decades, due to their interesting physics and potential application in topological quantum computing (TQC). However, the topologically…