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Title: Topological insulating phases of non-Abelian anyonic chains

Abstract

Boundary conformal field theory is brought to bear on the study of topological insulating phases of non- Abelian anyonic chains. These phases display protected anyonic end modes. We consider spin-1/2 su(2)t chains at any level k, focusing on the most prominent examples: the case k = 2 describes Ising anyons (equivalent to Majorana fermions) and k = 3 corresponds to Fibonacci anyons. The method we develop is quite general and rests on a deep connection between boundary conformal field theory and topological symmetry. This method tightly constrains the nature of the topological insulating phases of these chains for general k. Emergent anyons which arise at domain walls are shown to have the same braiding properties as the physical quasiparticles. This suggests a "solid-stat.e" topological quantum computation scheme in which emergent anyons are braided by tuning the couplings of non-Abelian quasiparticles in a fixed network.

Authors:
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - Office of Basic Energy Sciences - Materials Sciences and Engineering Division
OSTI Identifier:
1393962
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 90; Journal Issue: 7; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

Citation Formats

DeGottardi, Wade. Topological insulating phases of non-Abelian anyonic chains. United States: N. p., 2014. Web. doi:10.1103/PhysRevB.90.075129.
DeGottardi, Wade. Topological insulating phases of non-Abelian anyonic chains. United States. doi:10.1103/PhysRevB.90.075129.
DeGottardi, Wade. Fri . "Topological insulating phases of non-Abelian anyonic chains". United States. doi:10.1103/PhysRevB.90.075129.
@article{osti_1393962,
title = {Topological insulating phases of non-Abelian anyonic chains},
author = {DeGottardi, Wade},
abstractNote = {Boundary conformal field theory is brought to bear on the study of topological insulating phases of non- Abelian anyonic chains. These phases display protected anyonic end modes. We consider spin-1/2 su(2)t chains at any level k, focusing on the most prominent examples: the case k = 2 describes Ising anyons (equivalent to Majorana fermions) and k = 3 corresponds to Fibonacci anyons. The method we develop is quite general and rests on a deep connection between boundary conformal field theory and topological symmetry. This method tightly constrains the nature of the topological insulating phases of these chains for general k. Emergent anyons which arise at domain walls are shown to have the same braiding properties as the physical quasiparticles. This suggests a "solid-stat.e" topological quantum computation scheme in which emergent anyons are braided by tuning the couplings of non-Abelian quasiparticles in a fixed network.},
doi = {10.1103/PhysRevB.90.075129},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 7,
volume = 90,
place = {United States},
year = {2014},
month = {8}
}

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