%0 Journal Article %T Magneto-Josephson effects in junctions with Majorana bound states %A Liang Jiang %A David Pekker %A Jason Alicea %A Gil Refael %A Yuval Oreg %A Arne Brataas %A Felix von Oppen %J Physics %D 2012 %I arXiv %R 10.1103/PhysRevB.87.075438 %X We investigate 1D quantum systems that support Majorana bound states at interfaces between topologically distinct regions. In particular, we show that there exists a duality between particle-hole and spin degrees of freedom in certain spin-orbit-coupled 1D platforms such as topological insulator edges. This duality results in a spin analogue of previously explored `fractional Josephson effects'---that is, the spin current flowing across a magnetic junction exhibits 4\pi-periodicity in the relative magnetic field angle across the junction. Furthermore, the interplay between the particle-hole and spin degrees of freedom results in unconventional magneto-Josephson effects, such that the Josephson current is a function of the magnetic field orientation with periodicity 4\pi. %U http://arxiv.org/abs/1206.1581v1