J. Phys. IV France
Volume 10, Number PR3, March 2000
Organic Superconductivity "20th Anniversary"
Page(s) Pr3-113 - Pr3-118
Organic Superconductivity "20th Anniversary"

J. Phys. IV France 10 (2000) Pr3-113-Pr3-118

DOI: 10.1051/jp4:2000311

Anyons in one dimension

K.-V. Pham1, M. Gabay2 and P. Lederer2

1  LPTHE, Université Paris 7, 4 place Jussieu, 75252 Paris, France
2  LPS, Université Paris-Sud, 91405 Orsay, France

Particles possessing fractional statistics in two dimension have been dubbed anyons. We want to show how it is possible to extend this concept in the case of conformally invariant systems in one dimension, and reproduce the flux-tube attachment construction due to Wilczek. We will introduce a class of models describing 1D anyons, which has the great advantage over its 2D counterparts to be exactly solvable. The properties of these 1D anyons generalize those of a Luttinger liquid and yield a complete classification of 1D fixed points when time-reversal symmetry is broken.

© EDP Sciences 2000