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We construct a family of integrable vertex model based on the typicalfour-dimensional representations of the quantum group deformation of the Liesuperalgebra $sl(2|1)$. Upon alternation of such a representation with its dualthis model gives rise to a mixed superspin Hamiltonian with local interactionsdepending on the representation parameter $\pm b$ and the deformation parameter${\gamma}$. As a subsector this model contains integrable vertex models withordinary symmetries for twisted boundary conditions. The thermodynamic limitand low energy properties of the mixed superspin chain are studied using acombination of analytical and numerical methods. Based on these results weidentify the phases realized in this system as a function of the parameters $b$and $\gamma$. The different phases are characterized by the operator content ofthe corresponding critical theory. Only part of the spectrum of this effectivetheory can be understood in terms of the U(1) symmetries related to thephysical degrees of freedom corresponding to spin and charge. The other modeslead to logarithmic finite-size corrections in the spectrum of the theory.

Phase Diagram of an Integrable Alternating $U_q[sl(2|1)]$ Superspin Chain