Phase Diagram of the Easy-Axis Triangular-Lattice 𝐽₁−𝐽₂ Model

Our work studies the largely unexplored phase diagram of the S = 1/2 easy-axis triangular-lattice J₁-J₂ model, motivated by recent interest in rare-earth and transition-metal compounds that exhibit strong quantum fluctuations and broad spin excitation continua—hallmarks of spin-liquid behavior. Combining density-matrix renormalization group simulations with analytical insights, we present a comprehensive study of the model that describes these materials. Our results provide compelling evidence for a robust spin-liquid phase stabilized between the exotic supersolid Y phase and the collinear stripe phase, remarkably persistent even in the presence of symmetry-breaking anisotropy. Additionally, we analyze the supersolid Y phase, offering a quantitative characterization of its order parameters and clarifying the surprising absence of a ferromagnetic moment; both features relevant to recent experiments on Ising-like triangular-lattice magnets. Altogether, our work provides the necessary framework and important theoretical guidance to the ongoing searches of the spin liquid and other exotic states in the rare-earth and transition-metal triangular-lattice compounds, as well as for advancing the understanding of anisotropic-exchange magnets.. Authors: Gallegos, Cesar A. [University of California, Irvine, CA (United States)] (ORCID:0000000304414887); Jiang, Shengtao [University of California, Irvine, CA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford University, Menlo Park, CA (United States)] (ORCID:0000000329870846); White, Steven R. [University of California, Irvine, CA (United States)] (ORCID:0000000334960707); Chernyshev, A. L. [University of California, Irvine, CA (United States)] (ORCID:000000030965568X). DOE Contract: AC02-76SF00515; SC0021221. Subjects: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Antiferromagnets; Density matrix renormalization group; Frustrated magnetism; Magnetic order; Magnetic phase transitions; Phase diagram; Phase diagrams; Quantum spin liquid; Spin liquid; Spin supersolid; Strongly correlated systems; Supersolid; Triangular lattice