Crossover from Spin-Density-Wave to Neel-like Ground state

TL;DR

This paper investigates how a Spin Density Wave transitions into a Neel-like ground state in the half-filled Hubbard model using weak coupling theory, comparing results with exact solutions and analyzing length scale evolution.

Contribution

It provides a detailed weak coupling analysis of the SDW to Neel transition and compares it with Bethe ansatz results, highlighting the evolution of length scales.

Findings

Magnetic properties align with Bethe ansatz in 1D

Evolution of length scales from weak to strong coupling

Characterization of the SDW to Neel transition

Abstract

The characterization and evolution of a Spin Density Wave into the Quantum Neel ground state is considered in the context of a weak coupling theory of the half-filled Hubbard model. Magnetic properties obtained from this weak coupling approach in one dimension compare favorably with exact results from Bethe ansatz (BA). A study of the evolution of several length scales from weak to strong coupling is also presented.