One-dimensional interacting anyon gas: low-energy properties and Haldane exclusion statistics.
The low-energy properties of the one-dimensional anyon gas with a delta-function interaction are discussed in the context of its Bethe ansatz solution. It is found that the anyonic statistical parameter and the dynamical coupling constant induce Haldane exclusion statistics interpolating between bosons and fermions. Moreover, the anyonic parameter may trigger statistics beyond Fermi statistics for which the exclusion parameter alpha is greater than one. The Tonks-Girardeau and the weak coupling limits are discussed in detail. The results support the universal role of alpha in the dispersion relations.
Batchelor
M T
MT
Department of Theoretical Physics, Research School of Physical Sciences and Engineering, and Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, Australia.
Guan
X-W
XW
Oelkers
N
N