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We study transport in a class of exactly solvable models of interactingfermions in one dimension. We contrast these models with models ofnon-interacting fermions in an Aharanov-Bohm ring to which they aresuperficially similar. We introduce magnetic and non-magnetic impurities at asite, through either a weak $\delta$-function potential or through a weak link.Using a renormalisation group analysis, we show that the strength of thenonmagnetic impurity is not affected by the interaction, whereas the magneticimpurity cuts the wire at the impurity site.Comment: Latex, 11 pages, Version submitted to PR

Transport in multi-chain models of interacting fermions