Article (Scientific journals)
Non-Abelian parafermions in time-reversal invariant interacting helical systems
Orth, Christoph P.; Tiwari, Rakesh P.; Meng, Tobias et al.
2015In Physical Review. B, 91, p. 081406
Peer reviewed
 

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Abstract :
[en] The interplay between bulk spin-orbit coupling and electron-electron interactions produces umklapp scattering in the helical edge states of a two-dimensional topological insulator. If the chemical potential is at the Dirac point, umklapp scattering can open a gap in the edge state spectrum even if the system is time-reversal invariant. We determine the zero-energy bound states at the interfaces between a section of a helical liquid which is gapped out by the superconducting proximity effect and a section gapped out by umklapp scattering. We show that these interfaces pin charges which are multiples of $e/2$, giving rise to a Josephson current with $8\pi$ periodicity. Moreover, the bound states, which are protected by time-reversal symmetry, are fourfold degenerate and can be described as $Z_4$ parafermions. We determine their braiding statistics and show how braiding can be implemented in topological insulator systems.
Disciplines :
Physics
Author, co-author :
Orth, Christoph P.
Tiwari, Rakesh P.
Meng, Tobias
Schmidt, Thomas ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit ; University of Basel > Department of Physics
External co-authors :
yes
Language :
English
Title :
Non-Abelian parafermions in time-reversal invariant interacting helical systems
Publication date :
2015
Journal title :
Physical Review. B
Volume :
91
Pages :
081406(R)
Peer reviewed :
Peer reviewed
Commentary :
arXiv:1405.4353 [cond-mat.mes-hall]
Available on ORBilu :
since 05 March 2015

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