Abstract
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 language | English |
|---|---|
| Article number | 184430 |
| Journal | Physical Review B |
| Volume | 97 |
| Issue number | 18 |
| DOIs | |
| State | Published - May 30 2018 |
Bibliographical note
Funding Information:We acknowledge financial support from NSF DMR-1611161. The numerical simulations reported here were carried out on the DLX cluster at University of Kentucky and by resources allocated by XSEDE.
Funding Information:
We acknowledge financial support from NSF DMR-1611161.
Publisher Copyright:
© 2018 American Physical Society.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics