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 cri...

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Bibliographic Details
Published in:arXiv.org 2019-09
Main Authors: Ferraz, Gabriel, Ramos, Flavia B, Egger, Reinhold, Pereira, Rodrigo G
Format: Article
Language:English
Subjects:
Chains
Critical point
Elementary excitations
Field theory
Phase diagrams
Resistance
Spin liquid
Online Access:Get full text
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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:2331-8422
DOI:10.48550/arxiv.1906.00807