%0 Journal Article %T Quantum phase transition in a multicomponent anyonic Lieb-Liniger model %A Raul A. Santos %A Francis N. C. Paraan %A Vladimir E. Korepin %J Physics %D 2012 %I arXiv %R 10.1103/PhysRevB.86.045123 %X We study a one-dimensional multicomponent anyon model that reduces to a multicomponent Lieb-Liniger gas of impenetrable bosons (Tonks-Girardeau gas) for vanishing statistics parameter. At fixed component densities, the coordinate Bethe ansatz gives a family of quantum phase transitions at special values of the statistics parameter. We show that the ground state energy changes extensively between different phases. Special regimes are studied and a general classification for the transition points is given. An interpretation in terms of statistics of composite particles is proposed. %U http://arxiv.org/abs/1204.4149v2