Interacting anyons in topological quantum liquids: The golden chain

Simple item page
dc.creatorFeiguin, Adrian
dc.creatorTrebst, Simon
dc.creatorLudwig, Andreas W. W.
dc.creatorTroyer, Matthias
dc.creatorKitaev, Alexei
dc.creatorWang, Zhenghan
dc.creatorFreedman, Michael H.
dc.date2006-12-13
dc.date.accessioned2026-07-07T07:57:23Z
dc.date.available2026-07-07T07:57:23Z
dc.descriptionWe discuss generalizations of quantum spin Hamiltonians using anyonic degrees of freedom. The simplest model for interacting anyons energetically favors neighboring anyons to fuse into the trivial (`identity') channel, similar to the quantum Heisenberg model favoring neighboring spins to form spin singlets. Numerical simulations of a chain of Fibonacci anyons show that the model is critical with a dynamical critical exponent z=1, and described by a two-dimensional conformal field theory with central charge c=7/10. An exact mapping of the anyonic chain onto the two-dimensional tricritical Ising model is given using the restricted-solid-on-solid (RSOS) representation of the Temperley-Lieb algebra. The gaplessness of the chain is shown to have topological origin.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0612341
dc.identifierhttp://arxiv.org/abs/cond-mat/0612341
dc.identifierPhys. Rev. Lett. 98, 160409 (2007).
dc.identifierdoi:10.1103/PhysRevLett.98.160409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127630
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Physics
dc.titleInteracting anyons in topological quantum liquids: The golden chain
dc.typetext

Files

Collections

arXiv