Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet

Abstract

We argue that the S=1/2 kagome antiferromagnet undergoes a quantum phase transition when the Dzyaloshinskii-Moriya coupling is increased. For $D<D_c$ the system is in a moment-free phase and for $D>D_c$ the system develops antiferromagnetic long-range order. The quantum critical point is found to be $D_c\simeq 0.1J$ using exact diagonalizations and finite-size scaling. This suggests that the kagome compound ZnCu${}_3(OH)$_6$Cl$_3$ may be in a quantum critical region controlled by this fixed point.

arXiv comment5 pages, 4 figures; v2: add. data included, show that D=0.1J is at a quantum critical point

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