Infinite-randomness fixed points for chains of non-Abelian quasiparticles

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-->infinity). For k=2 this phase provides a random singlet description of the i...

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Bibliographic Details
Published in:Physical review letters 2007-10, Vol.99 (14), p.140405-140405, Article 140405
Main Authors: Bonesteel, N E, Yang, Kun
Format: Article
Language:English
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Summary: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-->infinity). 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) approximately lnd/3 log(2)L for large L, where d is the quantum dimension of the particles.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.99.140405