Abstract
The effects of a magnetic field (h) and a space modulation (δ) on the magnetic properties of a one-dimensional antiferromagnetic–ferromagnetic Heisenberg spin-1/2 modelhave been studied by means of numerical exact diagonalization of finite size systems, the nonlinearσ model,and a bosonization approach. The space modulation is considered on the antiferromagnetic couplings.At δ = 0, the model is mapped to a gapless Lüttinger liquid phase by increasing the magnetic field.However, the space modulation induces a new gap in the spectrum of the system and thesystem experiences different quantum phases which are separated by four critical fields. Byopening the new gap, a magnetization plateau appears at . The effects of the space modulation are reflected in the emergence of a plateau in otherphysical functions such as the F-dimer and the bond-dimer order parameters, and thepair-wise entanglement.
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