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We investigate transport of spinless fermions through a single site dotjunction of M one-dimensional quantum wires. The semi-infinite wires aredescribed by a tight-binding model. Each wire consists of two parts: thenon-interacting leads and a region of finite extent in which the fermionsinteract via a nearest-neighbor interaction. The functional renormalizationgroup method is used to determine the flow of the linear conductance as afunction of a low-energy cutoff for a wide range of parameters. Several fixedpoints are identified and their stability is analyzed. We determine the scalingexponents governing the low-energy physics close to the fixed points. Some ofour results can already be derived using the non-self-consistent Hartree-Fockapproximation.Comment: version accepted for publication in Phys. Rev. B, 14 pages, 7 figures  include

Junctions of one-dimensional quantum wires: Correlation effects in transport