Infinite-Randomness Fixed Points for Chains of Non-Abelian Quasiparticles

Details Infinite-Randomness Fixed Points for Chains of Non-Abelian Quasiparticles Infinite-Randomness Fixed Points for Chains of Non-Abelian Quasiparticles

2006-12-20

arxiv.org/abs/cond-mat/0612503v2

Phys. Rev. Lett. 99, 140405 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.99.140405

One-dimensional chains of non-Abelian quasiparticles described by $SU(2)_k$ Chern-Simons-Witten theory can enter random singlet phases analogous to that of a random chain of ordinary spin-1/2 particles (corresponding to $k \to \infty$). For $k=2$ this phase provides a random singlet description of the infinite randomness fixed point of the critical transverse field Ising model. The entanglement entropy of a region of size $L$ in these phases scales as $S_L \simeq \frac{\ln d}{3} \log_2 L$ for large $L$, where $d$ is the quantum dimension of the particles.

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