Form factors of integrable Heisenberg (higher) spin chains

TL;DR

This paper derives determinant formulas for the form factors of spin operators in general integrable XXX Heisenberg spin chains with arbitrary spins, applicable to mixed and impurity-including chains.

Contribution

It provides new determinant expressions for form factors in integrable spin chains with arbitrary and mixed spins, extending previous results.

Findings

Determinant formulas for form factors of spin operators.

Applicability to mixed and impurity-including spin chains.

Generalization to arbitrary finite-dimensional spins.

Abstract

We present determinant formulae for the form factors of spin operators of general integrable XXX Heisenberg spin chains for arbitrary (finite dimensional) spin representations. The results apply to any "mixed" spin chains, such as alternating spin chains, or to spin chains with magnetic impurities.