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We study the quantum phase transition properties of a three-dimensional periodic array of Josephson junctions with charging energy that includes both the self and mutual junction capacitances. We use the phase fluctuation algebra between…

Superconductivity · Physics 2016-08-31 T. K. Kopec , Jorge V. Jose

We consider a 1D chain of fractional vortices in a long Josephson junction with alternating $\pm\kappa$ phase discontinuities. Since each vortex has its own eigenfrequency, the inter-vortex coupling results in eigenmode splitting and in the…

Superconductivity · Physics 2007-05-23 H. Susanto , E. Goldobin , D. Koelle , R. Kleiner , S. A. van Gils

We model the static behavior of point Josephson junctions in a micro strip line using a 1D linear differential equation with delta distributed sine non-linearities. We analyze the maximum current $\gamma_{max}$ crossing the micro strip for…

Mathematical Physics · Physics 2007-05-23 J. G Caputo , L. Loukitch

We consider the discrete series-connected lossy Josephson transmission line, constructed from Josephson junctions, capacitors and resistors (one-dimensional array of Josephson junctions). We derive equations describing pump, signal, and…

Superconductivity · Physics 2024-07-01 Eugene Kogan

We discuss the prospect of using quantum properties of large scale Josephson junction arrays for quantum manipulation and simulation. We study the collective vibrational quantum modes of a Josephson junction array and show that they provide…

Quantum Physics · Physics 2009-11-13 Xingxiang Zhou , Ari Mizel

Bosons with density-dependent hopping on a one dimensional lattice have been shown to emulate anyonic particles with fractional exchange statistics. Leveraging this, we construct a Josephson junction setup, where an insulating barrier in…

Quantum Physics · Physics 2025-07-29 Jessica John Britto

We consider the propagation of a classical electromagnetic wave through a transmission line, formed by identical superconducting charge qubits inside a superconducting resonator. Since the qubits can be in a coherent superposition of…

Superconductivity · Physics 2009-11-13 A. L. Rakhmanov , A. M. Zagoskin , Sergey Savel'ev , Franco Nori

We present an analytic study of a periodic Josephson array with long-range interactions in a transverse magnetic field. We find that this system exhibits a first-order transition into a phase characterized by an extensive number of states…

Condensed Matter · Physics 2016-08-31 P. Chandra , L. B. Ioffe , D. Sherrington

Graphene is a relatively new material (2004) made of atomic layers of carbon arranged in a honeycomb lattice. Josephson junction devices are made from graphene by depositing two parallel superconducting leads on a graphene flake. These…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Joseph G. Lambert , Steven Carabello , Roberto C. Ramos

Multiply connected electronic networks threaded by flux tubes have been proposed as a platform for adiabatic quantum transport and topological states. Multi-terminal Josephson junction (MTJJ) has been suggested as a pathway to realize this…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Woochan Jung , Seyoung Jin , Sein Park , Seung-Hyun Shin , Kenji Watanabe , Takashi Taniguchi , Gil Young Cho , Gil-Ho Lee

We investigate Josephson arrays consisting of a dice-lattice network of superconducting weak links surrounding rhombic plaquettes of proximitized semiconductor. Josephson coupling of the weak links and electron density in the plaquettes are…

Mesoscale and Nanoscale Physics · Physics 2025-10-10 J. D. Bondar , L. Banszerus , W. Marshall , T. Lindemann , T. Zhang , M. J. Manfra , C. M. Marcus , S. Vaitiekėnas

We calculate the current-voltage characteristics and critical current I_c^{array} of an array of Josephson-coupled superconducting wires. The array has two layers, each consisting of a set of parallel wires, arranged at right angles, such…

Superconductivity · Physics 2009-10-31 J. Kent Harbaugh , D. Stroud

The minimal length of ``one-dimensional'' Josephson junctions, in which the specific bound states of the magnetic flux retain their stability is discussed numerically. Thereby, we consider as ``long'' every Josephson junction, in which…

Superconductivity · Physics 2025-10-20 T. L. Boyadjiev , M. D. Todorov

Josephson tunnel junctions are widely used as nonlinear elements in superconducting circuits such as low noise amplifiers and quantum bits. However, microscopic defects in the oxide tunnel barrier can produce low and high frequency noise…

Superconductivity · Physics 2010-06-10 R. Vijay , J. D. Sau , Marvin L. Cohen , I. Siddiqi

We report an experimental study on the tuning of supercurrent in a ballistic graphene-based Josephson junction by applying a control voltage to a transverse normal channel. In this four-terminal geometry, the control voltage changes the…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 P. Pandey , D. Beckmann , R. Danneau

We consider theoretically phase locking in a simple two-dimensional Josephson junction array consisting of two loops coupled via a joint line transverse to the bias current. Ring inductances are supposed to be small, and special emphasis is…

Condensed Matter · Physics 2009-10-28 Michael Basler , Wolfram Krech , Konstantin Yu. Platov

The Andreev bound state spectra of multi-terminal Josephson junctions form an artificial band structure, which is predicted to host tunable topological phases under certain conditions. However, the number of conductance modes between the…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 Gino V. Graziano , Mohit Gupta , Mihir Pendharkar , Jason T. Dong , Connor P. Dempsey , Chris Palmstrøm , Vlad S. Pribiag

New resonance steps are found in the experimental current-voltage characteristics of long, discrete, one-dimensional Josephson junction arrays with open boundaries and in an external magnetic field. The junctions are underdamped, connected…

Superconductivity · Physics 2009-10-30 A. E. Duwel , S. Watanabe , E. Trias , T. P. Orlando , H. S. J. van der Zant , S. H. Strogatz

We analyze a new long wave model describing the electrodynamics of an array of point Josephson junctions in a superconducting cavity. It consists in a wave equation with Dirac delta function sine nonlinearities. We introduce an adapted…

Superconductivity · Physics 2010-04-06 J. -G. Caputo , L. Loukitch

We investigate mesoscopic Josephson junction arrays created by patterning superconducting disks on monolayer graphene, concentrating on the high-$T/T_c$ regime of these devices and the phenomena which contribute to the superconducting glass…