Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-02-03
Phys.Rev. B72 (2005) 024412
Physics
Condensed Matter
Strongly Correlated Electrons
20 pages in two-column format. v2: fixed typos and added references
Scientific paper
10.1103/PhysRevB.72.024412
We construct a series of 2+1-dimensional models whose quasiparticles obey non-Abelian statistics. The adiabatic transport of quasiparticles is described by using a correspondence between the braid matrix of the particles and the scattering matrix of 1+1-dimensional field theories. We discuss in depth lattice and continuum models whose braiding is that of SO(3) Chern-Simons gauge theory, including the simplest type of non-Abelian statistics, involving just one type of quasiparticle. The ground-state wave function of an SO(3) model is related to a loop description of the classical two-dimensional Potts model. We discuss the transition from a topological phase to a conventionally-ordered phase, showing in some cases there is a quantum critical point.
Fendley Paul
Fradkin Eduardo
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