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

TL;DR

This paper explores how large SU(N) symmetry combined with frustration influences quantum phases in a honeycomb lattice, revealing a diverse phase diagram with exotic states through large-N analysis.

Contribution

It introduces a comprehensive phase diagram for the SU(N) J1-J2 model on a honeycomb lattice, highlighting the interplay of symmetry and frustration in stabilizing various quantum phases.

Findings

Identification of multiple quantum phases including Dirac and chiral spin liquids

Large-N analysis reveals a rich phase diagram with diverse states

Physical properties of each phase are characterized

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.