Phase Diagram of the Easy-Axis Triangular-Lattice $J_1\text{\hspace{0.17em}⁣}-\text{\hspace{0.17em}⁣}{J}_2$ Model

The phase diagram of the $S\text{\hspace{0.17em}⁣}=\text{\hspace{0.17em}⁣}1\mathrm{/}2$ easy-axis triangular-lattice $J_1\text{\hspace{0.17em}⁣}-\text{\hspace{0.17em}⁣}{J}_2$ model is investigated using the density-matrix renormalization group and analytical insights. We find a significant spin-liquid region extending from the Heisenberg limit and residing between the Y phase-known as the magnetic analogue of the “supersolid”-and collinear stripe phase. The order parameters of the supersolid are analyzed and an understanding of its lack of ferromagnetic moment is suggested.