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Spin Chain Network Construction of Chiral Spin Liquids
Gabriel Ferraz1,2, Flávia B Ramos1, Reinhold Egger3
1International Institute of Physics, Universidade Federal do Rio Grande do Norte, Natal, Rio Grande do Norte 59078-970, Brazil.
Abstract:
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.
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