Abstract

A user software for numerical study of a Josephson junction model with magnetic momenta is presented. Computer implementation has been done by means of Wolfram Mathematica using the extensive capabilities of this system to create interactive dynamic objects. Two methods for numerical solution of the respective system of ordinary differential equations are implemented: the four-step Runge-Kutta algorithm and the Runge-Kutta-Fehlberg method with predetermined accuracy. Results of numerical simulation are presented to confirm the correctness of the calculations done with the developed software.

Highlights

  • Josephson junctions in combination with magnetic moments occupy an important place in “hot” fields of science like spintronics, nanotechnology, superconductivity, condensed matter physics, low temperature physics [1]

  • In this paper we describe a user software for Josephson Junctions Simulations (USJJS) in the numerical study of the Josephson junctions with magnetic momenta

  • We show that our method can demonstrate a magnetization reversal effect [4]

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Summary

Introduction

Josephson junctions in combination with magnetic moments occupy an important place in “hot” fields of science like spintronics, nanotechnology, superconductivity, condensed matter physics, low temperature physics [1]. They represent interest in a number of practical applications and are subjects in many research areas [2]. In this paper we describe a user software for Josephson Junctions Simulations (USJJS) in the numerical study of the Josephson junctions with magnetic momenta Using this software one can compute accurate values of some important physical parameters of the system under electric current pulse. This effect is very important for superconducting spintronics and could be useful in the frame of applications in the quantum computing field [1]

Mathematical model
Numerical approach and user software USJJS
Numerical results and conclusions
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