Abstract
We introduce a strategy to write down lattice models of spin rotational symmetric Hamiltonians with arbitrary spin S that are Marshall positive and can be simulated efficiently using world-line Monte Carlo methods. As an application of our approach we consider a square lattice S=1 model for which we design a (3×3)-spin plaquette interaction. By numerical simulations we establish that our model realizes a novel "Haldane nematic" phase that breaks lattice rotational symmetry by the spontaneous formation of Haldane chains, while preserving spin rotations, time reversal, and lattice translations. By supplementing our model with a two-spin Heisenberg interaction, we present a study of the transition between Neél and Haldane nematic phase, which we find to be of first order.
| Original language | English |
|---|---|
| Article number | 107202 |
| Journal | Physical Review Letters |
| Volume | 123 |
| Issue number | 10 |
| DOIs | |
| State | Published - Sep 6 2019 |
Bibliographical note
Funding Information:We gratefully acknowledge useful discussion with S. Pujari and partial support from NSF DMR-1611161 and Keith B. MacAdam Graduate Excellence Fellowship. The numerical results were produced on SDSC comet cluster through the NSF supported XSEDE Award No. TG-DMR140061 as well as the DLX cluster at U.K.
Funding Information:
We gratefully acknowledge useful discussion with S. Pujari and partial support from NSF DMR-1611161 and Keith B. MacAdam Graduate Excellence Fellowship. The numerical results were produced on SDSC comet cluster through the NSF supported XSEDE Award No. TG-DMR140061 as well as the DLX cluster at U.K.
Publisher Copyright:
© 2019 American Physical Society.
ASJC Scopus subject areas
- Physics and Astronomy (all)