Twisting the Dirac cones of the SU(4) spin-orbital liquid on the honeycomb lattice

TL;DR

This study combines DMRG and Gutzwiller wave functions to investigate an SU(4) spin-orbital model on a honeycomb lattice, revealing a gapless Dirac spin-orbital liquid state characterized by Dirac points and critical behavior.

Contribution

It demonstrates that the ground state is well described by a Gutzwiller projected $ ext{pi}$-flux state with Dirac excitations, providing evidence for a gapless Dirac spin-orbital liquid.

Findings

Ground state described by a Gutzwiller projected $ ext{pi}$-flux state.

Presence of Dirac-type gapless excitations at quarter filling.

Gapless sector can be shifted by flux insertion, indicating a gapless spin-liquid phase.

Abstract

By combining the density matrix renormalization group (DMRG) method with Gutzwiller projected wave functions, we study the SU(4) symmetric spin-orbital model on the honeycomb lattice. We find that the ground states can be well described by a Gutzwiller projected $\pi$-flux state with Dirac-type gapless excitations at one quarter filling. Although these Dirac points are gapped by emergent gauge fluxes on finite cylinders, they govern the critical behavior in the thermodynamic limit. By inserting a $\theta=\pi$ spin flux to twist the boundary condition, we can shift the gapless sector to the ground state, which provides compelling evidence for the presence of a gapless Dirac spin-orbital liquid.