Temperature-dependent logarithmic corrections in the spin-1/2 Heisenberg chain

TL;DR

This paper derives temperature-dependent logarithmic corrections to dynamic response and NMR relaxation rates in the spin-1/2 Heisenberg chain using renormalization group methods, and compares results with experimental data.

Contribution

It provides the first detailed calculation of logarithmic corrections in the dynamic response and NMR rates for the Heisenberg chain, using perturbative renormalization group techniques.

Findings

Logarithmic corrections significantly affect NMR relaxation rates.

Theoretical predictions align with experimental NMR data in Sr_2CuO_3.

Temperature dependence of corrections is characterized explicitly.

Abstract

We obtain the logarithmic corrections to the dynamic response function and NMR T_1 and T_{2G} rates in the spin-1/2 antiferromagnetic Heisenberg chain using perturbative renormalization group in the leading irrelevant operator. The result is compared with NMR experiments in Sr_2CuO_3.