Effect of the Dzyaloshinskii-Moriya Interactions in the Kagome Heisenberg Antiferromagnet
Chih-Yuan Lee1*, Bruce Normand2, Ying-Jer Kao1,3
1Department of Physics, National Taiwan University, Taipei, Taiwan
2Neutrons and Muons Research Division, Paul Scherrer Institute, Villigen-PSI, Swaziland
3National Center for Theoretical Sciences, National Tsing Hua University, Hsinchu, Taiwan
* Presenter:Chih-Yuan Lee, email:pcs155251@gmail.com
We investigate the effects of Dzyaloshinsky-Moriya (DM) interactions in the kagome antiferromag-
net by means of projected entangled simplex states (PESS). Our result shows that the critical value
of the DM interaction Dc between the gapless spin liquid and the Neel state is D/J ≈0.040, which is
only half of the magnitude proposed previously and smaller than the value of D in herbertsmithite.
Our work implies that there might be other origins of the spin liquid nature in herbertsmithite.

Keywords: kagome Heisenberg antiferromagnet, Dzyaloshinskii-Moriya interactions, projected entangled simplex states, herbertsmithite, spin liquid