Tetramerization in a SU(4) Heisenberg model on the honeycomb lattice

Article

关键词: ORBITAL FRUSTRATION;    MOTT INSULATOR;    HUBBARD-MODEL;    LIQUID;    LINIO2;    STATE;    ORDER;   

DOI  :  10.1103/PhysRevB.87.224428

来源: SCIE

【 摘 要 】

The SU(4) Heisenberg model can serve as a low-energy model of the Mott insulating state in materials where the spins and orbitals are highly symmetric or in systems of alkaline-earth atoms on an optical lattice. Recently, it has been argued that on the honeycomb lattice, the model exhibits a unique spin-orbital liquid phase with an algebraic decay of correlations [P. Corboz et al., Phys. Rev. X 2, 041013 (2012)]. Here we study the instability of the algebraic spin-orbital liquid toward the spontaneous formation of SU(4) singlet plaquettes (tetramerization). Using a variational Monte Carlo approach to evaluate the projected wave function of fermions with pi-flux state, we find that the algebraic liquid is robust and that a small finite value of the next-nearest exchange is needed to induce tetramerization. We also studied the phase diagram of a model which interpolates between the nearest-neighbor Heisenberg model and a Hamiltonian for which the singlet-plaquette-product state is an exact ground state.

【 授权许可】

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