scholarly journals Topological phase diagram of a three-terminal Josephson junction: From the conventional to the Majorana regime

2019 ◽  
Vol 100 (1) ◽  
Author(s):  
Lucila Peralta Gavensky ◽  
Gonzalo Usaj ◽  
C. A. Balseiro
Universe ◽  
2019 ◽  
Vol 5 (1) ◽  
pp. 33 ◽  
Author(s):  
Liron Levy ◽  
Moshe Goldstein

In recent years, tools from quantum information theory have become indispensable in characterizing many-body systems. In this work, we employ measures of entanglement to study the interplay between disorder and the topological phase in 1D systems of the Kitaev type, which can host Majorana end modes at their edges. We find that the entanglement entropy may actually increase as a result of disorder, and identify the origin of this behavior in the appearance of an infinite-disorder critical point. We also employ the entanglement spectrum to accurately determine the phase diagram of the system, and find that disorder may enhance the topological phase, and lead to the appearance of Majorana zero modes in systems whose clean version is trivial.


2019 ◽  
Vol 1226 ◽  
pp. 012015 ◽  
Author(s):  
A Maiellaro ◽  
F Romeo ◽  
R Citro

2015 ◽  
Vol 92 (7) ◽  
Author(s):  
Madhab Neupane ◽  
Su-Yang Xu ◽  
R. Sankar ◽  
Q. Gibson ◽  
Y. J. Wang ◽  
...  

Author(s):  
Luca Capriotti ◽  
Alessandro Cuccoli ◽  
Andrea Fubini ◽  
Valerio Tognetti ◽  
Ruggero Vaia

2003 ◽  
Vol 17 (18n20) ◽  
pp. 3708-3712
Author(s):  
Ju H. Kim

We report the effects of quantum and thermal fluctuations on the stability of phase-locking in one-dimensional long Josephson junction (LJJ) devices, involving high temperature superconductors. Accounting for both the magnetic induction effect and the charging effect, we determine the zero temperature (T = 0) stability phase diagram using renormalization group (RG) analysis. This phase diagram shows that the in-phase mode is stable but some out-of-phase modes are unstable against quantum fluctuations. At finite T, all stable phase-locked modes (at T = 0) are unstable, but its stability is maintained within the decoherence length which decreases inversely with T.


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