Article (Scientific journals)
Overlap of parafermionic zero modes at a finite distance
Teixeira, Raphael L. R. C.; Haller, Andreas; Singh, Roshni et al.
2022In Physical Review Research
Peer reviewed
 

Files


Full Text
PhysRevResearch.4.043094.pdf
Publisher postprint (465.87 kB)
Request a copy
Annexes
2206.14101.pdf
(612.93 kB)
Author preprint
Download

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.


All documents in ORBilu are protected by a user license.

Send to



Details



Abstract :
[en] Parafermion bound states (PBSs) are generalizations of Majorana bound states (MBSs) and have been predicted to exist as zero-energy eigenstates in proximitized fractional quantum Hall edge states. Similarly to MBSs, a finite distance between the PBS can split the ground state degeneracy. However, parafermionic modes have a richer exchange statistics than MBSs, so several interaction terms are allowed by the underlying $\mathbb{Z}_{2n}$ symmetry, rendering the effective Hamiltonian governing a pair of PBSs at a finite distance nontrivial. Here, we use a combination of analytical techniques (semiclassical instanton approximation) and numerical techniques (quantum Monte Carlo simulations) to determine the effective coupling Hamiltonian. For this purpose, we go beyond the dilute one-instanton gas approximation and show how finite-size effects can give rise to higher-order parafermion interactions. We find excellent agreement between the analytical results and Monte Carlo simulations. We estimate that these finite-size corrections should be observable in some of the recently proposed experiments to observe PBSs in strongly correlated systems.
Disciplines :
Physics
Author, co-author :
Teixeira, Raphael L. R. C.;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) ; Universidade de São Paulo > Instituto de Física
Haller, Andreas ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Singh, Roshni;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Mathew, Amal;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Idrisov, Edvin;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Dias da Silva, Luis G. G. V.;  Universidade de São Paulo > Instituto de Física
Schmidt, Thomas ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
External co-authors :
yes
Language :
English
Title :
Overlap of parafermionic zero modes at a finite distance
Publication date :
14 November 2022
Journal title :
Physical Review Research
ISSN :
2643-1564
Publisher :
American Physical Society (APS), College Park, United States - Maryland
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 14 December 2022

Statistics


Number of views
56 (11 by Unilu)
Number of downloads
17 (2 by Unilu)

Scopus citations®
 
2
Scopus citations®
without self-citations
2
WoS citations
 
1

Bibliography


Similar publications



Contact ORBilu