Characterizing spinone Kitaev quantum spin liquids
Abstract
Material realizations of the bonddependent Kitaev interactions with $S$=1/2 local moments have vitalized the research in quantum spin liquids. Recently, it has been proposed that higherspin analogues of the Kitaev interactions may also occur in a number of materials with strong spinorbit coupling. In contrast to the celebrated $S$=1/2 Kitaev model on the honeycomb lattice, the higherspin Kitaev models are not exactly solvable. Hence, the existence of quantum spin liquids in these systems remains an outstanding question. In this work, we use the density matrix renormalization group (DMRG) methods to numerically investigate the $S$=1 Kitaev model with both ferromagnetic (FM) and antiferromagnetic (AFM) interactions. Using results on a cylindrical geometry with various circumferences, we conclude that the ground state of the $S$=1 Kitaev model is a quantum spin liquid with a $\mathbb{Z}_2$ gauge structure. We also put a bound on the excitation gap, which turns out to be quite small. The magnetic field responses for the FM and AFM models are similar to those of the $S$=1/2 counterparts. In particular, in the AFM $S$=1 model, a gapless quantum liquid state emerges in an intermediate window of magnetic field strength, before the system enters a trivial polarized state.
 Publication:

arXiv eprints
 Pub Date:
 January 2020
 arXiv:
 arXiv:2001.06000
 Bibcode:
 2020arXiv200106000K
 Keywords:

 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 10 pages including SM, 11 figures. Comments are welcome!