Majorana states in inhomogeneous spin ladders

Pedrocchi, Fabio L. and Chesi, Stefano and Gangadharaiah, Suhas and Loss, Daniel. (2012) Majorana states in inhomogeneous spin ladders. Physical Review B, Vol. 86, H. 20 , 205412.

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Official URL: http://edoc.unibas.ch/dok/A6083488

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We propose an inhomogeneous open spin ladder, related to the Kitaev honeycomb model, which can be tuned between topological and nontopological phases. In extension of Lieb`s theorem, we show numerically that the ground state of the spin ladder is either vortex free or vortex full. We study the robustness of Majorana end states (MES) which emerge at the boundary between sections in different topological phases and show that while the MES in the homogeneous ladder are destroyed by single-body perturbations, in the presence of inhomogeneities at least two-body perturbations are required to destabilize MES. Furthermore, we prove that x, y, or z inhomogeneous magnetic fields are not able to destroy the topological degeneracy. Finally, we present a trijunction setup where MES can be braided. A network of such spin ladders provides thus a promising platform for realization and manipulation of MES.
Faculties and Departments:05 Faculty of Science > Departement Physik
05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss)
UniBasel Contributors:Loss, Daniel
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Institute of Physics
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:10 Apr 2015 09:13
Deposited On:24 May 2013 09:02

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