We study the ground-state magnetic phase diagram of a spin S = 1/2 antiferromagnetic two-leg ladder with period two lattice units modulated Dzyaloshinskii-Moriya (DM) interaction along the legs. We consider the case of collinear DM vectors and strong rung exchange and magnetic field. In this limit we map the initial ladder model onto an effective spin σ = 1/2 XXZ chain and study the latter using the...
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