%0 Journal Article %T Ising-model description of the SU(2)_1 quantum critical point in a dimerized two-leg spin-1/2 ladder %A Y. -J. Wang %A A. A. Nersesyan %J Physics %D 2000 %I arXiv %R 10.1016/S0550-3213(00)00305-9 %X A nonperturbative analytical description of the SU(2)_1 quantum critical point in an explicitly dimerized two-leg spin-1/2 Heisenberg ladder is presented. It is shown that this criticality essentially coincides with that emerging in a weakly dimerized spin-1 chain with a small Haldane gap. The approach is based on the mapping onto an SO(3)-symmetric model of three strongly coupled quantum Ising chains. This mapping is used to establish the correspondence between all physical fields of the spin ladder and those characterizing the SU(2)_1 criticality at the infrared fixed point. %U http://arxiv.org/abs/cond-mat/0004441v1