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 cooperatively from a collection of spiral configurations at low temperatures. These spiral propagation wavevectors form a continuous manifold in reciprocal space, 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.

螺旋自旋液体是独特的经典自旋液体，出现在许多受阻自旋系统中，但不包含新的物质相。由于广泛的经典基态简并性，螺旋自旋液体中的自旋在低温下由一系列螺旋构型共同热波动。这些螺旋传播波矢在互易空间中形成连续流形，即螺旋轮廓或螺旋面，强烈支配着低温热涨落和磁物理。本文系统地探索了传达螺旋自旋液体物理的相关自旋模型，并在模型构建中阐明了螺旋流形的几何起源。进一步阐明了基于螺旋流形的维数和共维数的螺旋自旋液体。对于每个类别，都会研究一般性和特定示例的物理特性。结果与范围广泛的受挫磁铁有关。对材料进行了调查，并建议了未来的实验。