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Vison States and Confinement Transitions of \(Z_2\) Spin Liquids on the Kagome Lattice

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2011

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American Physical Society
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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.

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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.

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