Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
arXiv:1204.4149 · doi:10.1103/PhysRevB.86.045123
Abstract
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.
6 pages, 2 PDF figures. Corrections, clarifications, references added
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- Strongly interacting mesoscopic systems of anyons in one dimension
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