scholarly journals Z2phase diagram of three-dimensional disordered topological insulators via a scattering matrix approach

2014 ◽  
Vol 89 (15) ◽  
Author(s):  
Björn Sbierski ◽  
Piet W. Brouwer
2018 ◽  
Vol 23 (4) ◽  
pp. 71 ◽  
Author(s):  
C. Custers ◽  
J. Jansen ◽  
E. Lomonova

This paper describes the scattering matrix approach to obtain the solution to electromagnetic field quantities in harmonic multi-layer models. Using this approach, the boundary conditions are solved in such way that the maximum size of any matrix used during the computations is independent of the number of regions defined in the problem. As a result, the method is more memory efficient than classical methods used to solve the boundary conditions. Because electromagnetic sources can be located inside the regions of a configuration, the scattering matrix formulation is developed to incorporate these sources into the solving process. The method is applied to a 3D electromagnetic configuration for verification.


1995 ◽  
Vol 12 (5) ◽  
pp. 1097 ◽  
Author(s):  
N. P. K. Cotter ◽  
T. W. Preist ◽  
J. R. Sambles

ACS Nano ◽  
2019 ◽  
Vol 13 (9) ◽  
pp. 10810-10817 ◽  
Author(s):  
Ming Yang ◽  
Jun Wang ◽  
Yafei Zhao ◽  
Liang He ◽  
Chunhui Ji ◽  
...  

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 44
Author(s):  
Gianmichele Blasi ◽  
Fabio Taddei ◽  
Vittorio Giovannetti ◽  
Alessandro Braggio

The non-local manipulation of spin-entangled states by means of local gating in two parallel 2D topological insulators properly connected to two superconducting electrodes is studied. We calculate analytically the current-phase relationship of the Josephson current making use of the scattering matrix approach and we identify the various local and non-local scattering mechanisms. We show that the Josephson critical current, remarkably, allows a direct quantification of the entanglement manipulation.


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