Transfer-matrix simulations of linear magnetic systems

The quantum transfer-matrix method was applied to study the finite-temperat ure static properties of the spin S = 1 antiferromagnetic Heisenberg chains in a wide range of the single-ion anisotropy and temperatures. The high-re solution quantum transfer-matrix simulation data are obtained for the zero- field susceptibility, specific heat as well as for the field-dependent magn etization. The microscopic parameters of a number of real quasi-one-dimensi onal compounds are found from fitting procedures, some theoretical approach es are numerically verified and an extension of the technique to a non-unif orm bond alternating molecular magnets is also put forward.