Ground-state properties of hard-core anyons in one-dimensional periodic lattices

The ground-state properties of the hard-core anyons confined in one-dimensional periodic lattices are investigated based on the anyon-fermion mapping and the Slater determinants. The behaviors of the one-particle density matrix, the momentum distribution function and the scaling effect of the hard-core anyon lattice system are analyzed. For the anyons with the statistical parameter interpolating between the Bose limit and the Fermi limit (0 < χ < 1), the one-particle density matrix displays a power law decay modulated by oscillations. Due to the oscillations and the power law decay, the peak of the anyonic momentum distribution shifts toward nonzero momentum and the peak value displays a universal power law scaling behavior. The location and the scaling of the momentum peak bear the trend that evolves continuously as a function of the statistical parameter and can provide means of measuring the anyonic signatures.