Abstract
The bottom part of the spectrum of a diagonal necklace spin ladder (s=1∕2) (NL) with spatial and spin anisotropy of neighboring interactions is studied using perturbation theory and numerical calculations which are performed by the Davidson and DMRG methods. It is shown that a first-order phase transition exists at zero temperature with respect to the spin anisotropy parameter, accompanied by a macroscopic jump in the magnetization. It is also shown that a plateau can appear in the field dependence of the magnetization with the z projection of the total spin M=1∕3Mmax as a result of the gap character of the excitations, which increase M. The amplitude of the spin wave characterizing the ground state of the NL with different isotropic spin interaction constants inside and between the cells takes on its maximum value when all interactions are the same.
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