Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field

TL;DR

This paper provides precise numerical estimates of correlation amplitudes in the spin-1/2 XXZ chain under a magnetic field, using advanced numerical and theoretical methods to analyze correlation functions and estimate spin gaps.

Contribution

It introduces an Abelian bosonization approach for open boundary conditions and combines numerical data with effective theory to accurately determine correlation amplitudes.

Findings

Accurate correlation amplitudes for the XXZ chain are obtained.

Quantitative estimates of spin gaps induced by external fields and anisotropy.

Development of a bosonization approach for open boundary conditions.

Abstract

We present accurate numerical estimates for the correlation amplitudes of leading and main subleading terms of the two- and four-spin correlation functions in the one-dimensional spin-1/2 XXZ model under a magnetic field. These data are obtained by fitting the correlation functions, computed numerically with the density-matrix renormalization-group method, to the corresponding correlation functions in the low-energy effective theory. For this purpose we have developed the Abelian bosonization approach to the spin chain under the open boundary conditions. We use the numerical data of the correlation amplitudes to quantitatively estimate spin gaps induced by a transverse staggered field and by exchange anisotropy.