Large symmetry groups in quantum many-body systems could strongly enhance quantum fluctuations and thereby stabilize exotic quantum phases. Frustrated interactions were long known to have similar effects. Here we intertwine the large $\mathrm{SU}(N$ ) symmetry and the frustration in a ${J}_{1}\text{\ensuremath{-}}{J}_{2}\phantom{\rule{0.16em}{0ex}}\mathrm{SU}(N$) Heisenberg model on a honeycomb lattice, where ${J}_{1}$ is the nearest-neighbor coupling and ${J}_{2}$ is the next-nearest-neighbor coupling. With a large- $N$ analysis, we obtain a rich phase diagram by varying both $N$ and the ratio ${J}_{2}/{J}_{1}$ . The ground states include Dirac spin liquid, chiral spin liquid, valence cluster solids, flux ordered state, and stripe states. The physical properties of each phase are discussed.Large symmetry groups in quantum many-body systems could strongly enhance quantum fluctuations and thereby stabilize exotic quantum phases. Frustrated interactions were long known to have similar effects. Here we intertwine the large $\mathrm{SU}(N$) symmetry and the frustration in a ${J}_{1}\text{\ensuremath{-}}{J}_{2}\phantom{\rule{0.16em}{0ex}}\mathrm{SU}(N$) Heisenberg model on a honeycomb lattice, where ${J}_{1}$ is the nearest-neighbor coupling and ${J}_{2}$ is the next-nearest-neighbor coupling. With a large-$N$ analysis, we obtain a rich phase diagram by varying both $N$ and the ratio ${J}_{2}/{J}_{1}$. The ground states include Dirac spin liquid, chiral spin liquid, valence cluster solids, flux ordered state, and stripe states. The physical properties of each phase are discussed.

arXiv:2111.01611Physical review. B./Physical review. BJan 3, 202210 citations

Exotic quantum phases in two-dimensional frustrated magnets

Jason Alicea

Dec 1, 20070 citations

\mathrm{SU}(N

) symmetry and the frustration in a ${J}_{1}\text{\ensuremath{-}}{J}_{2}\phantom{\rule{0.16em}{0ex}}\mathrm{SU}(N$) Heisenberg model on a honeycomb lattice, where

{J}_{1}

is the nearest-neighbor coupling and

{J}_{2}

is the next-nearest-neighbor coupling. With a large-

N

analysis, we obtain a rich phase diagram by varying both

N

and the ratio

{J}_{2}/{J}_{1}

. The ground states include Dirac spin liquid, chiral spin liquid, valence cluster solids, flux ordered state, and stripe states. The physical properties of each phase are discussed.