# Vison States and Confinement Transitions of $$Z_2$$ Spin Liquids on the Kagome Lattice

 Title: Vison States and Confinement Transitions of $$Z_2$$ Spin Liquids on the Kagome Lattice Author: Huh, Yejin; Punk, Matthias; Sachdev, Subir Note: Order does not necessarily reflect citation order of authors. Citation: Huh, Yejin, Matthias Punk, and Subir Sachdev. 2011. Vison states and confinement transitions of $$Z_2$$ spin liquids on the kagome lattice. Physical Review B 84(9): 094419. Full Text & Related Files: 1106.3330v3.pdf (455.4Kb; PDF) Abstract: We present a projective symmetry group (PSG) analysis of the spinless excitations of $$Z_2$$ spin liquids on the kagome lattice. In the simplest case, vortices carrying $$Z_2$$ magnetic flux (“visons”) are shown to transform under the 48 element group $$GL(2,Z_3)$$. Alternative exchange couplings can also lead to a second case with visons transforming under 288-element group $$GL(2,Z_3)×D_3$$. We study the quantum phase transition in which visons condense into confining states with valence bond solid order. The critical field theories and confining states are classified using the vison PSGs. Published Version: doi:10.1103/PhysRevB.84.094419 Other Sources: http://arxiv.org/abs/1106.3330 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:7756896 Downloads of this work: