Condensed Matter Theory

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Size Constraints on Majorana Beamsplitter Interferometer: Majorana Coupling and Surface-Bulk Scattering

(2017)

Authors:

Henrik Schou Røising, Steven H Simon
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Lattice supersymmetry and order-disorder coexistence in the tricritical Ising model

(2017)

Authors:

Edward O'Brien, Paul Fendley
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Using evaporation to control capillary instabilities in micro-systems

(2017)

Authors:

Rodrigo Ledesma-Aguilar, Gianluca Laghezza, Julia M Yeomans, Dominic Vella
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Viewpoint: Topological insulators turn a corner

Physics American Physical Society 10 (2017) 1-3

Authors:

Siddharth Parameswaran, Yuan Wan
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How SU(2)4 Anyons are Z3 Parafermions

SciPost Physics SciPost 3:6 (2017) 037

Authors:

Richard Fern, J Kombe, Steven Simon

Abstract:

We consider the braid group representation which describes the non-abelian braiding statistics of the spin $1/2$ particle world lines of an SU(2)$_4$ Chern-Simons theory. Up to an abelian phase, this is the same as the non-Abelian statistics of the elementary quasiparticles of the $k=4$ Read-Rezayi quantum Hall state. We show that these braiding properties can be represented exactly using ${Z}_3$ parafermion operators.
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