The van der Waals magnets provide an ideal platform to explore quantum magnetism both theoretically and experimentally. We study a classical J1-J2 model with distinct magnetic degrees of freedom on a honeycomb lattice that can be realized in some van
der Waals magnets. We find that the model develops a spiral spin liquid (SSL), a massively degenerated state with spiral contours in the reciprocal space, not only for continuous spin vectors, XY and Heisenberg spins but also for Ising spin moments. Surprisingly, the SSL is more robust for the Ising case, and the shape of the spiral contours is pinned to an emergent kagome structure at the low temperatures for different J2. The spin-chirality order for the continuous spins at the finite temperatures is further connected to the electric polarization via the inverse Dzyaloshinski-Moriya mechanism. These results provide a guidance for the experimental realization of 2D SSLs, and the SSL can further be used as the mother state to generate skyrmions that are promising candidates for future memory devices.
Spiral spin liquids are unique classical spin liquids that occur in many frustrated spin systems, but do not comprise a new phase of matter. Owing to extensive classical ground-state degeneracy, the spins in a spiral spin liquid thermally fluctuate c
ooperatively from a collection of spiral configurations at low temperatures. These spiral propagation wavevectors form a continuous manifold in reciprocal space, textit{i.e.}, a spiral contour or a spiral surface, that strongly governs the low-temperature thermal fluctuations and magnetic physics. In this paper, the relevant spin models conveying the spiral spin liquid physics are systematically explored and the geometric origin of the spiral manifold is clarified in the model construction. The spiral spin liquids based on the dimension and the codimension of the spiral manifold are further clarified. For each class, the physical properties are studied both generally and for specific examples. The results are relevant to a wide range of frustrated magnets. A survey of materials is given and future experiments are suggested.
We study the spin-1 honeycomb lattice magnets with frustrated exchange interactions. The proposed microscopic spin model contains first and second neighbor Heisenberg interactions as well as the single-ion anisotropy. We establish a rich phase diagra
m that includes a featureless quantum paramagnet and various spin spiral states induced by the mechanism of order by quantum disorder. Although the quantum paramagnet is dubbed featureless, it is shown that, the magnetic excitations develop a contour degeneracy in the reciprocal space at the band minima. These contour degenerate excitations are responsible for the frustrated criticality from the quantum paramagnet to the ordered phases. This work illustrates the effects of magnetic frustration on both magnetic orderings and the magnetic excitations. We discuss the experimental relevance to various Ni-based honeycomb lattice magnets.
