Collective states of interacting Fibonacci anyons

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dc.creatorTrebst, Simon
dc.creatorArdonne, Eddy
dc.creatorFeiguin, Adrian
dc.creatorHuse, David A.
dc.creatorLudwig, Andreas W. W.
dc.creatorTroyer, Matthias
dc.date2008-01-30
dc.date.accessioned2026-07-07T09:53:23Z
dc.date.available2026-07-07T09:53:23Z
dc.descriptionWe show that chains of interacting Fibonacci anyons can support a wide variety of collective ground states ranging from extended critical, gapless phases to gapped phases with ground-state degeneracy and quasiparticle excitations. In particular, we generalize the Majumdar-Ghosh Hamiltonian to anyonic degrees of freedom by extending recently studied pairwise anyonic interactions to three-anyon exchanges. The energetic competition between two- and three-anyon interactions leads to a rich phase diagram that harbors multiple critical and gapped phases. For the critical phases and their higher symmetry endpoints we numerically establish descriptions in terms of two-dimensional conformal field theories. A topological symmetry protects the critical phases and determines the nature of gapped phases.
dc.description5 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0801.4602
dc.identifierhttp://arxiv.org/abs/0801.4602
dc.identifierPhys. Rev. Lett. 101, 050401 (2008).
dc.identifierdoi:10.1103/PhysRevLett.101.050401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165937
dc.subjectStatistical Mechanics
dc.subjectMesoscale and Nanoscale Physics
dc.titleCollective states of interacting Fibonacci anyons
dc.typetext

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