Spin liquid and quantum phase diagram on a spin-orbit coupled triangular lattice

Spin-orbit coupling breaks SU(2) spin symmetry, which leads to exotic physics that people are starting to take note of in recent years. Among the many unusual phases and behaviors that materials exhibit when SU(2) symmetry is absent, our paper focuses on the search of a spin-liquid phase on an anisotropic triangular lattice. We use DMRG and exact diagonalization to study ground state physics of this particular model and look for tell-tale signs of a spin-liquid phase. In the process, we explore the relationship of different ordered and disordered states with spin-orbit coupling based on finite-size study of the energy spectrum, entanglement spectrum, spin correlations, and excitation gaps. Through comparison with the theoretical work of J. Iaconis et al. (arXiv:1708.07856v2 [cond-mat.str-el] 15 Sep 2017), we also determine the interesting regimes for different spin liquid candidates.