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Physica A Statistical Mechanics and its Applications

Formulation and numerical results of the transfer-matrix method for quantum spin chains

Thomas Delica, Hajo Leschke

Published Oct 1, 1990• 38 citations
Publisher
DOI
10.1016/0378-4371(90)90028-q

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The authors have generalized Sklyanin's approach of constructing open integrable quantum spin chains to the case of PT-invariant R matrices. They formulate a fusion procedure for such chains. In particular, they show that the fused transfer matrix can be expressed in terms of products of the original transfer matrix and products of certain quantum determinants which can be explicitly evaluated. Applications of these results include constructing open integrable higher-spin chains, as well as obtaining functional equations for transfer-matrix eigenvalues, which may be solved by an analytical Bethe ansatz.