论文标题
双线性旋转液相在双线性 - 骨化二-SU（4） - 弗米尔顿在方形上的hamiltonian
Quantum spin liquid phases in the bilinear-biquadratic two-SU(4)-fermion Hamiltonian on the square lattice
论文作者
论文摘要
我们考虑了平方晶格上每个位置的系统（即自轭$ \ bf 6 $表示）的最通用的SU（4） - 对称两端哈密顿量的相图。众所周知，该模型的磁性阶段破坏SU（4）对称性和量子无序的二聚体样相，破坏了晶格翻译对称性。以先前的作品[O. Gauthé，S。Capponi和D. Poilblanc，物理。 Rev. B $ \ TextBf {99} $，241112（R）（r）（2019）]，我们研究了该模型中使用SU（4）量子自旋液相存在的可能性，使用SU（4） - 对称性投影纠缠的对态（PEPS）（PEPS）的小键尺寸（PEP）可以根据点组和point Groups组和（c）和（c）和（c）。在SU（4） - 对称性PEP的几个（断开）家族中，我们确定了在相图的某些区域中可能稳定的关键或拓扑旋转液体。这些结果面临着精确的对角（ED）和密度基质重量级化组（DMRG）计算。
We consider the phase diagram of the most general SU(4)-symmetric two-site Hamiltonian for a system of two fermions per site (ie self-conjugate $\bf 6$ representation) on the square lattice. It is known that this model hosts magnetic phases breaking SU(4) symmetry and quantum disordered dimer-like phases breaking lattice translation symmetry. Motivated by a previous work [O. Gauthé, S. Capponi and D. Poilblanc, Phys. Rev. B $\textbf{99}$, 241112(R) (2019)], we investigate the possibility of the existence of SU(4) quantum spin liquid phases in this model, using SU(4)-symmetric Projected Entangled Pair States (PEPS) of small bond dimensions, which can be classified according to point group and charge (C) symmetries. Among several (disconnected) families of SU(4)-symmetric PEPS, breaking or not C-symmetry, we identify critical or topological spin liquids which may be stable in some regions of the phase diagram. These results are confronted to exact diagonalisation (ED) and density matrix renormalisation group (DMRG) calculations.
