Domain wall type defects as anyons in phase space

Details Domain wall type defects as anyons in phase space Domain wall type defects as anyons in phase space

2006-11-20

arxiv.org/abs/cond-mat/0611535v4

Phys. Rev. B 76, 155101 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

published version

Scientific paper

10.1103/PhysRevB.76.155101

We discuss how the braiding properties of Laughlin quasi-particles in quantum Hall states can be understood within a one-dimensional formalism we proposed earlier. In this formalism the two-dimensional space of the Hall liquid is identified with the phase space of a one-dimensional lattice system, and localized Laughlin quasi-holes can be understood as coherent states of lattice solitons. The formalism makes comparatively little use of the detailed structure of Laughlin wavefunctions, and may offer ways to be generalized to non-abelian states.

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