Emergence of anyonic correlations from spin and charge dynamics in one dimension

• URL: http://arxiv.org/abs/2301.02164v2
• Date: Wed, 7 Jun 2023 13:08:23 GMT
• Title: Emergence of anyonic correlations from spin and charge dynamics in one dimension
• Authors: Oleksandr Gamayun, Eoin Quinn, Kemal Bidzhiev, Mikhail B. Zvonarev
• Abstract summary: We propose a transformation for spin and charge degrees of freedom in one-dimensional lattice systems, constrained to have no doubly occupied sites. The transformation delivers particle creation and operators in a form of a spinless particle and a non-local operator acting on the space of states of a spin-$1/2$ chain.
• Score: 19.444636864515726
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We propose a transformation for spin and charge degrees of freedom in one-dimensional lattice systems, constrained to have no doubly occupied sites, that allows direct access to the dynamical correlations of the system. The transformation delivers particle creation and annihilation operators in a form of a spinless particle and a non-local operator acting on the space of states of a spin-$1/2$ chain. This permits a decomposition of dynamical correlation functions as a convolution of those for impenetrable anyons together with those of a spin chain. Further analysis can be done by methods tailored for each part of the convolution, greatly increasing the impact and flexibility of the approach.

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