On the Origin of Fractional Shapiro Steps in Systems of Josephson Junctions with Few Degrees of Freedom

DOI

10.2991/jnmp.2008.15.s3.39How to use a DOI?

Abstract

We investigate the origin of fractional Shapiro steps in arrays consisting of a few overdamped Josephson junctions. We show that when the symmetry reduces the equations to that of a single junction equation, only integer steps appear. Otherwise, fractional steps will appear when the evolution equations contain second (or higher) order derivatives or non-sinusoidal terms. We make a point of distinguishing the last two possibilities in the generation of the fractional steps.

Copyright

© 2008, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - A. Valizadeh
AU  - M.R. Kolahchi
AU  - J.P. Straley
PY  - 2008
DA  - 2008/10/01
TI  - On the Origin of Fractional Shapiro Steps in Systems of Josephson Junctions with Few Degrees of Freedom
JO  - Journal of Nonlinear Mathematical Physics
SP  - 407
EP  - 416
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.39
DO  - 10.2991/jnmp.2008.15.s3.39
ID  - Valizadeh2008
ER  -