Calculation of Neel temperature for S=1/2 quasi-one-dimensional Heisenberg antiferromagnets

TL;DR

This paper uses bosonization to calculate the Neel temperature for S=1/2 quasi-one-dimensional antiferromagnets, improving agreement with experimental data by including interchain fluctuation corrections.

Contribution

It introduces 1/zp-corrections to the interchain mean-field theory for Neel temperature and ground-state magnetization in quasi-1D antiferromagnets.

Findings

Corrections to T_N are about 25% of the mean-field value.

Corrections to ground-state magnetization are small, especially in 3D.

Results align better with experimental data for specific compounds.

Abstract

Isotropic S=1/2 quasi-one-dimensional antiferromagnets are considered within the bosonization method. The 1/zp-corrections to the interchain mean-field theory (zp is the number of nearest neighbors in transverse to chain directions) are obtained for the ground-state sublattice magnetization and Neel temperature T_N. The corrections to T_N make up about 25% of mean-feld value, while those to ground-state sublattice magnetization are small enough (especially in the three-dimensional case). The fluctuation corrections obtained improve considerably the agreement with the experimental data for magnetic-chain compounds KCuF3, Sr2CuO3 and Ca2CuO3.