Spontaneous Skyrmion Ground States in Magnetic Metals Skyrmions, which are topological spin textures, have been observed in various systems, including classical liquids, quantum Hall magnets, and liquid crystals. However, it was previously believed that skyrmions could not form spontaneous ground states in magnetic materials without external fields or defects. This study shows that skyrmions can form spontaneously in magnetic materials with chiral interactions, without the need for external fields or defects. The research is based on a phenomenological continuum model that incorporates material-specific parameters. The model allows for softened amplitude variations of magnetization, a key property of metallic magnets. The study demonstrates that spontaneous skyrmion lattice ground states may exist in a wide range of materials, including surfaces, thin films, and bulk compounds, where the absence of space inversion symmetry leads to chiral interactions. The study also shows that skyrmions can form spontaneously in magnetic materials with chiral interactions, even when the amplitude of magnetization is soft. The research uses a model that considers systems with a hierarchy of energy and length scales, where ferromagnetic exchange is the strongest, followed by chiral interactions, and then magnetic anisotropies and dipolar interactions. The model treats magnetic states in chiral magnets within a phenomenological quasi-classical continuum approximation. This approach is appropriate for chiral magnets where the helical modulations are large compared to atomic distances. The magnetic free energy density is written in the form f = A m² ∑(∂i n_j)² + η A (∇m)² + f_D(m) + f_0(m), where the first and second terms describe the magnetic stiffness, the third term describes the chiral interactions, and the fourth term includes non-gradient terms. The study shows that the exact form of f_0(m) is not decisive for the stability of skyrmions. The parameters a and b are the initial susceptibility and mode coupling parameter, respectively. The study also analyzes experimental data for the longitudinal susceptibility in local-moment ferromagnets and itinerant-electron ferromagnets, establishing values of η for EuS, Ni, and MnSi. The study shows that skyrmions can form spontaneously in magnetic materials with chiral interactions, even when the amplitude of magnetization is soft. The research uses a model that considers systems with a hierarchy of energy and length scales, where ferromagnetic exchange is the strongest, followed by chiral interactions, and then magnetic anisotropies and dipolar interactions. The model treats magnetic states in chiral magnets within a phenomenological quasi-classical continuum approximation. This approach is appropriate for chiral magnets where the helical modulations are large compared to atomic distances. The study also shows that the structure of the skyrmion is characterized by a magnetization vector that rotates outward from the axis in all directions, while the modulus shrinks and decreases towards the boundary of theSpontaneous Skyrmion Ground States in Magnetic Metals Skyrmions, which are topological spin textures, have been observed in various systems, including classical liquids, quantum Hall magnets, and liquid crystals. However, it was previously believed that skyrmions could not form spontaneous ground states in magnetic materials without external fields or defects. This study shows that skyrmions can form spontaneously in magnetic materials with chiral interactions, without the need for external fields or defects. The research is based on a phenomenological continuum model that incorporates material-specific parameters. The model allows for softened amplitude variations of magnetization, a key property of metallic magnets. The study demonstrates that spontaneous skyrmion lattice ground states may exist in a wide range of materials, including surfaces, thin films, and bulk compounds, where the absence of space inversion symmetry leads to chiral interactions. The study also shows that skyrmions can form spontaneously in magnetic materials with chiral interactions, even when the amplitude of magnetization is soft. The research uses a model that considers systems with a hierarchy of energy and length scales, where ferromagnetic exchange is the strongest, followed by chiral interactions, and then magnetic anisotropies and dipolar interactions. The model treats magnetic states in chiral magnets within a phenomenological quasi-classical continuum approximation. This approach is appropriate for chiral magnets where the helical modulations are large compared to atomic distances. The magnetic free energy density is written in the form f = A m² ∑(∂i n_j)² + η A (∇m)² + f_D(m) + f_0(m), where the first and second terms describe the magnetic stiffness, the third term describes the chiral interactions, and the fourth term includes non-gradient terms. The study shows that the exact form of f_0(m) is not decisive for the stability of skyrmions. The parameters a and b are the initial susceptibility and mode coupling parameter, respectively. The study also analyzes experimental data for the longitudinal susceptibility in local-moment ferromagnets and itinerant-electron ferromagnets, establishing values of η for EuS, Ni, and MnSi. The study shows that skyrmions can form spontaneously in magnetic materials with chiral interactions, even when the amplitude of magnetization is soft. The research uses a model that considers systems with a hierarchy of energy and length scales, where ferromagnetic exchange is the strongest, followed by chiral interactions, and then magnetic anisotropies and dipolar interactions. The model treats magnetic states in chiral magnets within a phenomenological quasi-classical continuum approximation. This approach is appropriate for chiral magnets where the helical modulations are large compared to atomic distances. The study also shows that the structure of the skyrmion is characterized by a magnetization vector that rotates outward from the axis in all directions, while the modulus shrinks and decreases towards the boundary of the