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Quadrupolar Quantum Criticality On A Fractal, Jonathan D'Emidio, Simon Lovell, Ribhu K. Kaul

Physics and Astronomy Faculty Publications

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 …