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Applied Physics Letters

Fluxon insertion into annular Josephson junctions

Alexey Vladimirovich Ustinov

Published Apr 29, 2002• 74 citations
Publisher

Abstract

A technique of inserting magnetic fluxons into annular Josephson junctions is proposed and demonstrated experimentally. The method is based on local injection of current into one of the superconducting electrodes of the junction. The residual pinning of fluxons in the junction can be eliminated by choosing an appropriate injection current, which depends on the spacing between the injectors. The reported technique resolves the long-standing problem of a controlled preparation of fluxon states in annular Josephson junctions and can be used in various fluxon devices.

DOI
10.1063/1.1474617

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A technique of inserting magnetic fluxons into annular Josephson junctions is proposed and demonstrated experimentally. The method is based on local injection of current into one of the superconducting electrodes of the junction. The residual pinning of fluxons in the junction can be eliminated by choosing an appropriate injection current, which depends on the spacing between the injectors. The reported technique resolves the long-standing problem of a controlled preparation of fluxon states in annular Josephson junctions and can be used in various fluxon devices.
Long Josephson tunnel junctions are non-linear transmission lines that allow propagation of current vortices (fluxons) and electromagnetic waves and are used in various applications within superconductive electronics. Recently, the Josephson vortex has been proposed as a new superconducting qubit. We describe a simple method to create a double-well potential for an individual fluxon trapped in a long elliptic annular Josephson tunnel junction characterized by an intrinsic non-uniform width. The distance between the potential wells and the height of the inter-well potential barrier are controlled by the strength of an in-plane magnetic field. The manipulation of the vortex states can be achieved by applying a proper current ramp across the junction. The read-out of the state is accomplished by measuring the vortex depinning current in a small magnetic field. An accurate one-dimensional sine-Gordon model for this strongly non-linear system is presented, from which we calculate the position-dependent fluxon rest-mass, its Hamiltonian density and the corresponding trajectories in the phase space. We examine the dependence of the potential properties on the annulus eccentricity and its electrical parameters and address the requirements for observing quantum-mechanical effects, as discrete energy levels and tunneling, in this two-state system.
Experiments towards realizing a readout of superconducting qubits by using ballistic Josephson vortices are reported. We measured the microwave radiation induced by a fluxon moving in an annular Josephson junction. By coupling a flux qubit as a current dipole to the annular junction, we detect periodic variations of the fluxon's oscillation frequency versus magnetic flux through the qubit. We found that the scattering of a fluxon on a current dipole can lead to the acceleration of a fluxon regardless of a dipole polarity. We use the perturbation theory and numerical simulations of the perturbed sine-Gordon equation to analyze our results.
We have developed clock sources for rapid single flux quantum (RSFQ) digital circuits using high-quality long Josephson junction (LJJ) resonant oscillators of annular geometry. Being a topologically closed system and unperturbed by reflections from boundaries and collisions among the fluxons (flux quanta), the annular LJJ oscillator has demonstrated a high quality factor. The novel design of an annular junction clock that allows easier interface with RSFQ circuitry has been realized. Magnetic fluxons are inserted into an annular LJJ by local injection of current into the control line of the junction. This technique resolves the long-standing problem of achieving superior stability of the fluxon state for application as a clock source. The linewidth of the phase-locked clock source is measured as low as 24 Hz relative to a reference oscillator at 40 GHz. The cycle-to-cycle jitter was measured to be 9 fs at a frequency of 36 GHz, or 0.04% of the clock period which is in good agreement with theoretical estimation.
We report experimental results on characteristics of SFIFS junctions and multiterminal SFIFSIS and SISFIS devices (where S, I, and F denote a superconductor (Nb), an insulator (AlOx), and a ferromagnetic material (Ni), respectively). The SFIFS (SFIS) junctions serve as injectors in the SFIFSIS (SISFIS) devices, which have transistorlike properties; for this reason, we call them superconducting-ferromagnetic transistors. We have found the F (Ni) thickness at which the SFIFS current-voltage characteristic becomes linear. For three-terminal SFIFSIS devices, we focused on studying the influence of the injection current through the SFIFS junction on the maximum Josephson current of the SIS acceptor. For four-terminal SISFIS devices, we studied dependence of the transport current through the middle Nb electrode on injection current level through the SFIS junction. In both cases, we found that the output superconducting current (either Josephson or transport) can be efficiently modulated by the quasiparticle injection from SFIFS or SFIS input junction. The experiments indicate that, after optimization of the device parameters, they can be used as input/output isolators and amplifiers for memory, digital, and RF applications.
Josephson fluxonic bipolar junction transistor (JFBJT) has been proposed as a superconducting amplifying element. The results on a simple realization of this device are provided to demonstrate its working principle. These experiments demonstrate that JFBJT provides current gain without suffering from the problems associated with the regular long junction vortex flow transistors. In particular, no resonance structure is present in its I-V characteristics and its impedance can be matched to any load without degradation of its characteristics. Suggestion is made on how a practical device can be fabricated.