Statistical duality

L. L. Jenkovzky, A. A. Trushevskii, L. Sertorio

M. I. Beciu

We first reobtain in a simpler way the Haldane fractional statistics at thermal equilibrium. We then show that the mean occupation number for fractional statistics is invariant to a group of duality transformations, a non-abelian subgroup of a fractional linear group.

Chetan Nayak, Frank A. Wilczek

We derive some physical properties of ideal assemblies of identical particles obeying generalized exclusion statistics. We discuss fluctuations and in this connection point out a fundamental contrast to conventional quantum statistics. We demonstrate a duality relating the distribution of particles at statistics $g$ to the distribution of holes at statistics $\frac{1}{g}$. We suggest an application to Mott insulators.

Frank A. Wilczek, Chetan Nayak

We derive some physical properties of ideal assemblies of identical particles obeying generalized exclusion statistics. We discuss fluctuations, and in this connection point out a fundamental contrast to conventional quantum statistics. We demonstrate a duality relating the distribution of particles at statistics $g$ to the distribution of holes at statistics $1/g$. We suggest applications to Mott insulators.

Guangzhao Zhou, Dingchang Xian