Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-10-13
Phys. Rev. Lett. 103, 070401 (2009).
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 2 figures
Scientific paper
10.1103/PhysRevLett.103.070401
Quantum mechanical systems, whose degrees of freedom are so-called su(2)_k anyons, form a bridge between ordinary SU(2) spin systems and systems of interacting non-Abelian anyons. Such a connection can be made for arbitrary spin-S systems, and we explicitly discuss spin-1/2 and spin-1 systems. Anyonic spin-1/2 chains exhibit a topological protection mechanism that stabilizes their gapless ground states and which vanishes only in the limit (k to infinity) of the ordinary spin-1/2 Heisenberg chain. For anyonic spin-1 chains we find their phase diagrams to closely mirror the one of the biquadratic SU(2) spin-1 chain. Our results describe at the same time nucleation of different 2D topological quantum fluids within a `parent' non-Abelian quantum Hall state, arising from a macroscopic occupation of localized, interacting anyons. The edge states between the `nucleated' and the `parent' liquids are neutral, and correspond precisely to the gapless modes of the anyonic chains.
Ardonne Eddy
Gils Charlotte
Ludwig Andreas W. W.
Trebst Simon
Troyer Matthias
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