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The Dirac spin liquid ground state of the spin 1/2 Heisenberg kagomeantiferromagnet has potential instabilities[1-4]. This has been suggested asthe reason why it is not strongly supported in large-scale numericalcalculations[5]. However, previous attempts to observe these instabilities havefailed. We report on the discovery of a projected BCS state with lower energythan the projected Dirac spin liquid state which provides new insight into thestability of the ground state of the kagome antiferromagnet. The new state hasthree remarkable features. First, it breaks both spatial symmetry in an unusualway that may leave spinons deconfined along one direction. Second, it breaksthe U(1) gauge symmetry down to $Z_2$. Third, it has the spatial symmetry of apreviously proposed "monopole" suggesting that it is an instability of theDirac spin liquid. The state described herein also shares a remarkablesimilarity to the distortion of the kagome lattice observed at low Znconcentrations in Zn-Paratacamite suggesting it may already be realized inthese materials.

Striped spin liquid crystal ground state instability of kagome antiferromagnets