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Article overview
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Lattice Genons | | Zhao Liu
; Gunnar Möller
; Emil J. Bergholtz
; | | Date: |
16 Feb 2017 | | Abstract: | Topological degeneracy is, together with fractionalization, the hallmark of
topological order. While fractionalization has been demonstrated both
theoretically and in laboratories leading to deep insights into our basic
understanding of matter, there has been no corresponding success in tracking
the evolution of ground-state degeneracy due to the lack of tractable
microscopic models with arbitrarily tunable topology of space. In this work
however, by computer simulations, we show that lattice versions of
multicomponent fractional quantum Hall systems are novel playgrounds to fill
this void. With wormhole-like defects that connect separated "universes" of
different components, thus changing the global topology of space, we observe a
nontrivial dependence of ground-state degeneracy on the number of defects,
equivalent to adding exotic non-Abelian quasiparticles called "genons" proposed
recently in terms of effective topological field theory. We identify a number
of different lattice genons in both Abelian and non-Abelian phases, with
quantum dimensions exceeding those of fundamental quasiparticles in the host
states, and provide a promising platform to study their intriguing behavior. | | Source: | arXiv, 1702.5115 | | Services: | Forum | Review | PDF | Favorites | |
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