Quadrupolar quantum criticality on a fractal

Jonathan D'Emidio, Simon Lovell, Ribhu K. Kaul

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number184430
JournalPhysical Review B
Issue number18
StatePublished - May 30 2018

Bibliographical note

Publisher Copyright:
© 2018 American Physical Society.

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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