Critical behavior of the S=3/2 antiferromagnetic Heisenberg chain

TL;DR

This study uses advanced numerical techniques to analyze the critical properties of the S=3/2 antiferromagnetic Heisenberg chain, revealing its universality class and key physical parameters.

Contribution

It demonstrates that the S=3/2 chain shares the same universality class as the S=1/2 chain, providing precise estimates of the spin velocity and confirming theoretical predictions.

Findings

Spin velocity v=3.8±0.02

Universality class matches S=1/2 chain

Conformal central charge c=1

Abstract

Using the density-matrix renormalization-group technique we study the long-wavelength properties of the spin S=3/2 nearest-neighbor Heisenberg chain. We obtain an accurate value for the spin velocity v=3.8+- 0.02, in agreement with experiment. Our results show conclusively that the model belongs to the same universality class as the S=1/2 Heisenberg chain, with a conformal central charge c=1 and critical exponent eta=1