163,509 research outputs found

### Josephson junction on one edge of a two dimensional topological insulator affected by magnetic impurity

Current-phase relation in a Josephson junction formed by putting two s-wave
superconductors on the same edge of a two dimensional topological insulator is
investigated. We consider the case that the junction length is finite and
magnetic impurity exists. The similarity and difference with conventional
Josephson junction is discussed. The current is calculated in the semiconductor
picture. Both the $2\pi$- and $4\pi$-period current-phase relations
($I_{2\pi}(\phi), I_{4\pi}(\phi)$) are studied. There is a sharp jump at
$\phi=\pi$ and $\phi=2\pi$ for $I_{2\pi}$ and $I_{4\pi}$ respectively in the
clean junction. For $I_{2\pi}$, the sharp jump is robust against impurity
strength and distribution. However for $I_{4\pi}$, the impurity makes the jump
at $\phi=2\pi$ smooth. The critical (maximum) current of $I_{2\pi}$ is given
and we find it will be increased by asymmetrical distribution of impurity.Comment: 7 pages, 5 figure

### A Note On 3Solitary Wave Solutions of the Compound Burgers-Korteweg-de Vries Equation"

The goal of this note is to construct a class of traveling solitary wave
solutions for the compound Burgers-Korteweg-de Vries equation by means of a
hyperbolic ansatz

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