Intertwining SU($N$) symmetry and frustration on a honeycomb lattice

Abstract

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 SU($N$) symmetry and the frustration in a $J_1$-$J_2$ 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.

11 pages, 9 figures

References in corpus (12)

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Cited by in corpus (9)

• Thermal Hall effects in quantum magnets
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Update of $\mathcal{H}\Phi$: Newly added functions and methods in versions 2 and 3
• Twisting the Dirac cones of the SU(4) spin-orbital liquid on the honeycomb lattice
• Thermodynamic signature of the $\mathrm{SU}(4)$ spin-orbital liquid and symmetry fractionalization from the Lieb-Schultz-Mattis theorem
• Long-range spin-orbital order in the spin-orbital SU(2)$\times$SU(2)$\times$U(1) model
• The algebraic spin liquid in the SU(6) Heisenberg model on the kagome lattice