Low-temperature properties of the spin-1 antiferromagnetic Heisenberg chain with bond-alternation

TL;DR

This study uses quantum Monte Carlo simulations to analyze the low-temperature behavior of a spin-1 antiferromagnetic Heisenberg chain with bond-alternation, confirming theoretical predictions and estimating critical bond strength.

Contribution

The paper provides the first numerical estimate of the bond-alternation strength at the gapless point and validates field theoretical predictions for the low-temperature properties.

Findings

Estimated critical bond-alternation strength as δ_c=0.2595±0.0005

Confirmed consistency with field theoretical predictions

Compared numerical results with experimental data

Abstract

We investigate the low-temperature properties of the spin-1 antiferromagnetic Heisenberg chain with bond-alternation by the quantum Monte Carlo method (loop algorithm). The strength of bond-alternation at the gapless point is estimated as $\delta_{c}=0.2595\pm0.0005$. We confirm numerically that the low-temperature properties at the gapless point are consistent with field theoretical predictions. The numerical results are compared with those of the spin-1/2 antiferromagnetic Heisenberg chain and recent experimental results for [\{Ni(333-tet)($\mu$-N$_3$)\}$_n$](ClO$_4$)$_n$ (333-tet=tetraamine $N,N^{\prime}$-bis(3-aminopropyl)-1,3-propanediamine).