Work

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

Year: 2024

Type: article

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 nonlocal 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.

Source: Physical Review A

DOI: 10.1103/physreva.109.012209

Authors: Oleksandr Gamayun, Eoin Quinn, Kemal Bidzhiev, Mikhail B. Zvonarev