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Spin Chain Network Construction of Chiral Spin Liquids

We show that a honeycomb lattice of Heisenberg spin-1/2 chains with three-spin junction interactions allows for controlled analytical studies of chiral spin liquids (CSLs). Tuning these interactions to a chiral fixed point, we find a Kalmeyer-Laughlin CSL phase which here is connected to the critica...

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Bibliographic Details
Published in:Physical review letters 2019-09, Vol.123 (13), p.137202-137202, Article 137202
Main Authors: Ferraz, Gabriel, Ramos, Flávia B., Egger, Reinhold, Pereira, Rodrigo G.
Format: Article
Language:English
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Summary:We show that a honeycomb lattice of Heisenberg spin-1/2 chains with three-spin junction interactions allows for controlled analytical studies of chiral spin liquids (CSLs). Tuning these interactions to a chiral fixed point, we find a Kalmeyer-Laughlin CSL phase which here is connected to the critical point of a boundary conformal field theory. Our construction directly yields a quantized spin Hall conductance and localized spinons with semionic statistics as elementary excitations. We also outline the phase diagram away from the chiral point where spinons may condense. Generalizations of our approach can provide microscopic realizations for many other CSLs.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.123.137202