S=1/2 antiferromagnetic Heisenberg chain with staggered fields: Copper pyrimidine and copper benzoate using the density matrix renormalization group for transfer matrices

TL;DR

This paper uses the TMRG method to analyze the magnetization of spin-1/2 antiferromagnetic Heisenberg chains with staggered fields, matching experimental data for copper-based materials and determining key inhomogeneity parameters.

Contribution

It introduces the application of TMRG to finite-temperature magnetization calculations in staggered field systems, providing accurate parameter estimations for specific materials.

Findings

Excellent agreement with experimental magnetization data

Determination of inhomogeneity parameters c for materials

TMRG effectively captures low-temperature susceptibilities

Abstract

We consider the spin-1/2 antiferromagnetic Heisenberg chain in a staggered magnetic field describing materials such as copper benzoate and copper pyrimidine dinitrate. Using the density-matrix renormalization group for transfer matrices (TMRG) we calculate the magnetization of these materials at finite temperature and arbitrary magnetic field. These results are in excellent agreement with experimental data, allowing for a determination of the inhomogeneity parameter c of copper benzoate (c = 0.043) and copper pyrimidine dinitrate (c= 0.11). The TMRG approach can be applied to rather low temperatures yielding singular field and temperature dependences of susceptibilities.