Two-dimensional quantum liquids from interacting non-Abelian anyons

Details Two-dimensional quantum liquids from interacting non-Abelian anyons Two-dimensional quantum liquids from interacting non-Abelian anyons

2010-03-17

arxiv.org/abs/1003.3453v1

New J.Phys.13:045014,2011

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 6 figures

Scientific paper

10.1088/1367-2630/13/4/045014

A set of localized, non-Abelian anyons - such as vortices in a p_x + i p_y superconductor or quasiholes in certain quantum Hall states - gives rise to a macroscopic degeneracy. Such a degeneracy is split in the presence of interactions between the anyons. Here we show that in two spatial dimensions this splitting selects a unique collective state as ground state of the interacting many-body system. This collective state can be a novel gapped quantum liquid nucleated inside the original parent liquid (of which the anyons are excitations). This physics is of relevance for any quantum Hall plateau realizing a non-Abelian quantum Hall state when moving off the center of the plateau.

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