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    Shifting Tides: China and North Korea

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    "The nuclear test was no less than a slap in China's face." Zhu Feng is a professor of the School of International Studies and director of the International Security Program in Peking University

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

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    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 2Ï€2\pi- and 4Ï€4\pi-period current-phase relations (I2Ï€(Ï•),I4Ï€(Ï•)I_{2\pi}(\phi), I_{4\pi}(\phi)) are studied. There is a sharp jump at Ï•=Ï€\phi=\pi and Ï•=2Ï€\phi=2\pi for I2Ï€I_{2\pi} and I4Ï€I_{4\pi} respectively in the clean junction. For I2Ï€I_{2\pi}, the sharp jump is robust against impurity strength and distribution. However for I4Ï€I_{4\pi}, the impurity makes the jump at Ï•=2Ï€\phi=2\pi smooth. The critical (maximum) current of I2Ï€I_{2\pi} is given and we find it will be increased by asymmetrical distribution of impurity.Comment: 7 pages, 5 figure
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