Abstract
We study the possibility of a transition from a magnetic ordered state to a disordered spin-liquid state due to the lattice distortion in spin - 1 2 antiferromagnetic systems on a square lattice. For a purely spin - 1 2 Heisenberg model, the lattice distortion leads to a magnetic ground state characterized by the coexistence of Néel order and spin-Peierls dimerization. For the frustrated Heisenberg model, a finite lattice distortion is needed to form a nonmagnetic spin-liquid state whose spin-wave spectrum has a zero-temperature gap. The presence of a spin gap is required to explain the anomaly in NMR observed for certain high- T c systems.
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