Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
  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. 
Raul A. Santos and Francis N. C. Paraan and Vladimir E. Korepin
cond-mat.quant-gas cond-mat.str-el quant-ph