Symmetry analysis of bond-alternating Kitaev spin chains and ladders

In this work, we analyze the nonsymmorphic symmetry group structures for a variety of generalized Kitaev spin chains and ladders with bond alternations, including Kitaev-Gamma chain, Kitaev-Heisenberg-Gamma beyond nearest neighbor interactions, two-leg ladders. The analysis is applied to determine breaking patterns several magnetically ordered phases in bond-alternating chains, as well dimerization order parameters spontaneous dimerizations. Our work useful understanding magnetic related models may provide guidance classifications mean field solutions further investigations.