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We consider an exponential model within the so-called f(T) theory of gravity,where $T$ denotes the torsion scalar. We focus our work on a cosmologicalfeature of such a model, checking whether it may describe the de Sitter stageof the current universe through the analysis of the redshift z. Our resultsshows that the model reproduces the de Sitter stage only for low-redshifts,where the perturbation function goes toward zero as the low values of theredshift are reached, whereas the effective parameter of equation of state goesto -1, which is the expected behavior for any model able to reproduce de Sitterstage.

Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe