Ising-model description of the SU(2)_1 quantum critical point in a dimerized two-leg spin-1/2 ladder
Strongly Correlated Electrons
2009-10-31 v1 High Energy Physics - Theory
Abstract
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.
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Cite
@article{arxiv.cond-mat/0004441,
title = {Ising-model description of the SU(2)_1 quantum critical point in a dimerized two-leg spin-1/2 ladder},
author = {Y. -J. Wang and A. A. Nersesyan},
journal= {arXiv preprint arXiv:cond-mat/0004441},
year = {2009}
}
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22 pages