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 ${\mathbb{Z}}_3$ 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 ${\mathbb{Z}}_q$ anyon models.

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

References in corpus (1)

• Simulation of Anyons Using Symmetric Tensor Network Algorithms

Cited by in corpus (1)

• Symmetry-Protected Local Minima in Infinite DMRG