Dimensional reduction in anyon systems

Nicolas Rougerie, Qiyun Yang

Takashi Yamamoto

尚 山本

Radhika Vathsan

The two-dimensional anyon system, when reduced to one dimension, yields models related to the Calogero-Sutherland model. One such reduction leads to a new model with a class of exact solutions. This model is one of a family of models obtained upon dimensional reduction of spherically symmetric models in arbitrary dimensions.

Shiing-Shen Chern, C. W. Chu, C. S. Ting

Diptiman Sen

We conjecture that a two-dimensional anyon system reduces, when confined to a narrow channel, to a one-dimensional bose gas with a repulsive two-body $δ$-function interaction. We verify this conjecture in first-order perturbation theory near bosons. If the channel width is reduced to zero, the one-dimensional system is fermionic for all anyons other than bosons.