Phase diagram for hard-core $\mathbb{Z}_3$ anyons on the ladder
Abstract
Studies of free particles in low-dimensional quantum systems such as two-leg ladders provide insight into the influence of statistics on collective behaviour. The behaviours of bosons and fermions are well understood, but two-dimensional systems also admit excitations with alternative statistics known as anyons. Numerical analysis of hard-core anyons on the ladder reveals qualitatively distinct behaviour, including a novel phase transition associated with crystallisation of hole degrees of freedom into a periodic foam. Qualitative predictions are extrapolated for all Abelian anyon models.
Cite
@article{arxiv.1505.06928,
title = {Phase diagram for hard-core $\mathbb{Z}_3$ anyons on the ladder},
author = {Robert N. C. Pfeifer},
journal= {arXiv preprint arXiv:1505.06928},
year = {2015}
}
Comments
5 pages, 3 floating figures plus inline graphics, RevTeX 4.1. Revised characterisation of novel phase present at odd $q$. Improved number and quality of plots