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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We acknowledge financial support from NSF DMR-1611161.
D'Emidio, Jonathan; Lovell, Simon; and Kaul, Ribhu K., "Quadrupolar Quantum Criticality on a Fractal" (2018). Physics and Astronomy Faculty Publications. 571.