



@article {1780,
	title = {Exactly soluble model of boundary degeneracy},
	journal = {Physical Review B},
	volume = {95},
	year = {2017},
	month = {2017/01/25},
	chapter = {045309},
	abstract = {<p>We investigate the topological degeneracy that can be realized in Abelian fractional quantum spin Hall states with multiply connected gapped boundaries. Such a topological degeneracy (also dubbed as \&quot;boundary degeneracy\&quot;) does not require superconducting proximity effect and can be created by simply applying a depletion gate to the quantum spin Hall material and using a generic spin-mixing term (e.g., due to backscattering) to gap out the edge modes. We construct an exactly soluble microscopic model manifesting this topological degeneracy and solve it using the recently developed technique [S. Ganeshan and M. Levin, Phys. Rev. B 93, 075118 (2016)]. The corresponding string operators spanning this degeneracy are explicitly calculated. It is argued that the proposed scheme is experimentally reasonable.</p>},
	doi = {10.1103/PhysRevB.95.045309},
	url = {http://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.045309},
	author = {Sriram Ganeshan and Alexey V. Gorshkov and Victor Gurarie and Victor M. Galitski}
}
@article {1189,
	title = {Parafermionic zero modes in ultracold bosonic systems},
	journal = {Physical Review Letters},
	volume = {115},
	year = {2015},
	month = {2015/08/06},
	pages = {065301},
	abstract = {  Exotic topologically protected zero modes with parafermionic statistics (also
called fractionalized Majorana modes) have been proposed to emerge in devices
fabricated from a fractional quantum Hall system and a superconductor. The
fractionalized statistics of these modes takes them an important step beyond
the simplest non-Abelian anyons, Majorana fermions. Building on recent advances
towards the realization of fractional quantum Hall states of bosonic ultracold
atoms, we propose a realization of parafermions in a system consisting of
Bose-Einstein-condensate trenches within a bosonic fractional quantum Hall
state. We show that parafermionic zero modes emerge at the endpoints of the
trenches and give rise to a topologically protected degeneracy. We also discuss
methods for preparing and detecting these modes.
},
	doi = {10.1103/PhysRevLett.115.065301},
	url = {http://arxiv.org/abs/1504.04012v2},
	author = {Mohammad F. Maghrebi and Sriram Ganeshan and David J. Clarke and Alexey V. Gorshkov and Jay D. Sau}
}
