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Spin textures, i.e., the distribution of spin polarization vectors in reciprocal space, exhibit diverse patterns determined by symmetry constraints, resulting in a variety of spintronic phenomena. Here, we propose a universal theory to comprehensively describe the nature of spin textures by incorporating three symmetry flavors of reciprocal wavevector, atomic orbital and atomic site. Such approach enables us to establish a complete classification of spin textures constrained by the little co-group and predict unprecedentedly reported spin texture types, such as Zeeman-type spin splitting in antiferromagnets and quadratic spin texture. To examine the impact of atomic orbitals and sites, we predict orbital-dependent spin texture and anisotropic spin-momentum-site locking effects and corresponding material candidates validated through first-principles calculations. Our theory not only covers all possible spin textures in crystal solids described by magnetic space groups, but also introduces new possibilities for designing innovative spin textures by the coupling of multiple degrees of freedom.

The long-sought Chern insulators that manifest quantum anomalous Hall effect are typically considered to occur solely in ferromagnets. Here, we theoretically predict the realizability of Chern insulators in antiferromagnets, of which the magnetic sublattices are connected by symmetry operators enforcing zero net moment. Our symmetry analysis provides comprehensive magnetic layer point groups that allow antiferromagnetic (AFM) Chern insulators, and reveals that in-plane magnetic configuration is required. Followed by first-principles calculations, such design principles naturally lead to two categories of material candidates, exemplified by RbCr2S4 and Mn3Sn thin films with collinear and noncollinear AFM orders, respectively. We further show that the Chern number could be tuned by slight ferromagnetic canting as an effective pivot. Our work elucidates the nature of Chern-insulator phase in AFM systems, paving a new avenue for the search and design of quantum anomalous Hall insulators with the integration of non-dissipative transport and the promising advantages of the AFM order.

Chlortetracycline (CTC) is an important member from antibiotics tetracycline (TC) family, which inhibits protein synthesis in bacteria and is widely involved in clinical therapy, animal feeds and aquaculture. Previous works have reported intricately the biosynthesis of CTC from the intermediates in random mutants of Streptomyces aureofaciens and the crucial chlorination remained unclear. We have developed the genetic manipulation in an industrial producer, in which about 15.0 g/l CTC predominated along with 1.2 g/l TC, and discovered that chlorination by ctcP (an FADH 2 -dependent halogenase gene) is the last inefficient step during CTC biosynthesis. Firstly, the Δ ctcP strain accumulated about 18.9 g/l “clean” TC without KBr addition and abolished the production of CTC. Subsequently, CtcP was identified to exhibit a substrate stereo-specificity to absolute TC (4 S ) rather than TC (4 R ), with low k cat of 0.51±0.01 min −1 , while it could halogenate several TC analogs. Accordingly, we devised a strategy for overexpression of ctcP in S. aureofaciens and improved CTC production to a final titer of 25.9 g/l. We anticipate that our work will provide a biotechnological potential of enzymatic evolution and strain engineering towards new TC derivatives in microorganisms.