Computation of Dynamical Structure Factors with the Recursion Method

TL;DR

This paper applies the recursion method to compute energies and transition probabilities in the 1D antiferromagnetic spin-1/2 Heisenberg model, analyzing finite size effects and comparing different dynamical structure factor parametrizations.

Contribution

It introduces a novel application of the recursion method to analyze dynamical structure factors and finite size effects in the Heisenberg model.

Findings

Finite size effects are significant in the Euclidean time representation.

Comparison of spectral parametrizations shows differences in thermodynamic limit estimates.

Recursion method effectively computes low excitation energies and transition probabilities.

Abstract

We compute the energies and transition probabilities for low excitations in the one dimensional antiferromagnetic spin-1/2 Heisenberg model by means of the recursion method. We analyse finite size effects in the euclidian time ($\tau$)-representation and compare the resulting estimate for the thermodynamical limit with two parametrizations for the dynamical structure factors in the spectral ($\omega$)-representation.