User Tools

Site Tools


en:projects

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Last revision Both sides next revision
en:projects [2018/10/21 10:32]
ariad
en:projects [2019/02/18 14:52]
ariad
Line 21: Line 21:
 Realization of non-abelian quasi-particles known as Majorana fermions is an ongoing challenge for physicists exploring topological states of matter. Towards achieving this goal, we recently suggested that Josephson vortices in topological Josephson junctions (TJJ) would constitute such Majorana fermions and retain the exchange statistics of bulk vortices. We corroborated this hypothesis by finding the universal exchange phase of Josephson vortices. In order to do so, we derived the Hamiltonian governing the dynamics of a soliton in an annular Josephson junction. Our next step was to develop a procedure to calculate the Berry connection of systems that posses particle-hole symmetry. The procedure was applied to confirm that the Abelian phase due to the an exchange between a vortex in the bulk of a p-wave superconductor and a Josephson vortex is π/8. In addition, we suggested an experiment to measure it by. Realization of non-abelian quasi-particles known as Majorana fermions is an ongoing challenge for physicists exploring topological states of matter. Towards achieving this goal, we recently suggested that Josephson vortices in topological Josephson junctions (TJJ) would constitute such Majorana fermions and retain the exchange statistics of bulk vortices. We corroborated this hypothesis by finding the universal exchange phase of Josephson vortices. In order to do so, we derived the Hamiltonian governing the dynamics of a soliton in an annular Josephson junction. Our next step was to develop a procedure to calculate the Berry connection of systems that posses particle-hole symmetry. The procedure was applied to confirm that the Abelian phase due to the an exchange between a vortex in the bulk of a p-wave superconductor and a Josephson vortex is π/8. In addition, we suggested an experiment to measure it by.
  
-[[http://link.aps.org/doi/10.1103/PhysRevB.95.161401|Daniel Ariad and Eytan Grosfeld. "Signatures of the topological spin of Josesphson vortices in topological superconductors." Phys. Rev. B 95, 161401(R) (2017)]] [[https://arxiv.org/abs/1301.0538|arXiv:1301.0538.]] In addition, our study is summarized in {{:research:conference_poster_3.pdf|this poster}}.+[[http://link.aps.org/doi/10.1103/PhysRevB.95.161401|Daniel Ariad and Eytan Grosfeld. "Signatures of the topological spin of Josesphson vortices in topological superconductors." Phys. Rev. B 95, 161401(R) (2017)]] [[https://arxiv.org/abs/1301.0538|arXiv:1301.0538.]] In addition, our study is summarized in {{:research:soliton_poster.pdf|this poster}}.
  
 ---- ----
Line 42: Line 42:
  
 [[http://onlinelibrary.wiley.com/doi/10.1002/jgra.50170/full|Ariad, D., and M. Gedalin. "The role pickup ions play in the termination shock." Journal of Geophysical Research: Space Physics 118.6 (2013): 2854-2862]]. [[https://rdcu.be/7Pyz|free-to-read full-text version.]] [[http://onlinelibrary.wiley.com/doi/10.1002/jgra.50170/full|Ariad, D., and M. Gedalin. "The role pickup ions play in the termination shock." Journal of Geophysical Research: Space Physics 118.6 (2013): 2854-2862]]. [[https://rdcu.be/7Pyz|free-to-read full-text version.]]
- 
  
en/projects.txt · Last modified: 2019/02/18 15:15 by ariad

Page Tools