We study the ground state ordering of quadrupolar ordered S = 1 magnets as a function of spin dilution probability p on the triangular lattice. In sharp contrast to the ordering of S = 1/2 dipolar Néel magnets on percolating clusters, we find that the quadrupolar magnets are quantum disordered at the percolation threshold, p = p. Further we find that long-range quadrupolar order is present for all p < p and vanishes first exactly at p. Strong evidence for scaling behavior close to p points to an unusual quantum criticality without fine tuning that arises from an interplay of quantum fluctuations and randomness.

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Published in Physical Review B, v. 97, issue 18, 184430, p. 1-5.

©2018 American Physical Society

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We acknowledge financial support from NSF DMR-1611161.