Phase diagram for hard-core $\mathbb{Z}_3$ anyons on the ladder

Robert N. C. Pfeifer

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arXiv · 1505.06928

Phase diagram for hard-core $\mathbb{Z}_3$ anyons on the ladder

Robert N. C. Pfeifer

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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.

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Robert N. C. Pfeifer. 2015-10-19. Phase diagram for hard-core $\mathbb{Z}_3$ anyons on the ladder. https://arxiv.org/abs/1505.06928

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