2008/05/31 by Yajiang Hao, Yunbo Zhang, Shu Chen · 1 citation
Physics and Astronomy · #cond-mat.str-el #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreva.78.023631
published as Phys. Rev. A 78, 023631 (2008) · 6 pages, 5 figures, published version in Phys. Rev. A
arxiv created 2008/08/27 · arxiv updated 2009/12/01
We investigate the ground state of the one-dimensional interacting anyonic system based on the exact Bethe ansatz solution for arbitrary coupling constant (0≤ c≤ ∞) and statistics parameter (0≤ κ≤ π). It is shown that the density of state in quasi-momentum k space and the ground state energy are determined by the renormalized coupling constant c'. The effect induced by the statistics parameter κ exhibits in the momentum distribution in two aspects: Besides the effect of renormalized coupling, the anyonic statistics results in the nonsymmetric momentum distribution when the statistics parameter κ deviates from 0 (Bose statistics) and π (Fermi statistics) for any coupling constant c. The momentum distribution evolves from a Bose distribution to a Fermi one as κ varies from 0 to π. The asymmetric momentum distribution comes from the contribution of the imaginary part of the non-diagonal element of reduced density matrix, which is an odd function of κ. The peak at positive momentum will shift to negative momentum if κ is negative.