Spin Nematic Liquid of the $S=1\mathrm{/}2$ Distorted Diamond Spin Chain in Magnetic Field

The magnetization process of the $S=1\mathrm{/}2$ distorted diamond spin chain with the anisotropic ferromagnetic interaction is investigated using the numerical diagonalization of finite-size clusters. It is found that the spin nematic and SDW Tomonaga-Luttinger liquids can appear for sufficiently large easy axis anisotropy.