Abstract
The magnetization process of the distorted diamond chain is theoretically investigated using the numerical exact diagonalization and the density matrix renormalization group calculation. It is found that for some specified parameters the ground-state critical behavior is dominated by the incommensurate spin correlation parallel to the external magnetic field, around the 2/3 magnetization plateau. In the presence of interchain interaction it should be an incommensurate long-range order which possibly leads to a supersolid if coexisting with the usual transverse antiferromagnetic long-range order.
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