Kavli Affiliate: Joel Moore

| First 5 Authors: Lukasz Fidkowski, Gil Refael, Nick Bonesteel, Joel Moore,

| Summary:

Topological insulators supporting non-abelian anyonic excitations are at the

center of attention as candidates for topological quantum computation. In this

paper, we analyze the ground-state properties of disordered non-abelian anyonic

chains. The resemblance of fusion rules of non-abelian anyons and real space

decimation strongly suggests that disordered chains of such anyons generically

exhibit infinite-randomness phases. Concentrating on the disordered golden

chain model with nearest-neighbor coupling, we show that Fibonacci anyons with

the fusion rule $tauotimestau={bf 1}oplus tau$ exhibit two

infinite-randomness phases: a random-singlet phase when all bonds prefer the

trivial fusion channel, and a mixed phase which occurs whenever a finite

density of bonds prefers the $tau$ fusion channel. Real space RG analysis

shows that the random-singlet fixed point is unstable to the mixed fixed point.

By analyzing the entanglement entropy of the mixed phase, we find its effective

central charge, and find that it increases along the RG flow from the random

singlet point, thus ruling out a c-theorem for the effective central charge.

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