Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5450181 | Physica E: Low-dimensional Systems and Nanostructures | 2017 | 4 Pages |
Abstract
We consider the edge states of a 2D topological insulator in the presence of the Zeeman field and in proximity to a s-wave superconductor. We analytically show that two linearly independent Majorana bound states (MBSs) can appear near the impurity located in a small region in which both the pairing parameter Î and the Zeeman field M may be changed. We find two conditions for the existence of the MBSs: firstly, |Î|â|M|, ie, the superconducting gap in the spectrum should be sufficiently small; secondly, the absolute value of the average w of the impurity potential should have a certain value; the last condition is necessary. The equation |Î|=|M| determines the boundary of the topological phase of the system, thus the system as a whole must be close to this boundary in relation to the parameters. If the same is true for the impurity region, then the second condition has the form wâ±v/2 where v is the edge states velocity. In this case, the electron transmission probability is equal to 1 for energies close to zero.
Keywords
Related Topics
Physical Sciences and Engineering
Materials Science
Electronic, Optical and Magnetic Materials
Authors
Yu.P. Chuburin,