Combined analytical and numerical approach to study magnetization plateaux in doped quasi-one-dimensional antiferromagnets

TL;DR

This paper combines analytical and numerical methods to explore magnetization plateaux in doped quasi-one-dimensional antiferromagnets, revealing doping-dependent features and advancing understanding of their magnetic properties.

Contribution

It introduces a path integral analytical approach applicable to doped systems, improving control over large spins and complementing DMRG simulations for specific spin chains.

Findings

Doping induces new magnetization plateaux in spin chains.

Analytical method extends to doped systems with better control for large spins.

Numerical DMRG results confirm analytical predictions for specific models.

Abstract

We investigate the magnetic properties of quasi-one-dimensional quantum spin-S antiferromagnets. We use a combination of analytical and numerical techniques to study the presence of plateaux in the magnetization curve. The analytical technique consists in a path integral formulation in terms of coherent states. This technique can be extended to the presence of doping and has the advantage of a much better control for large spins than the usual bosonization technique. We discuss the appearance of doping-dependent plateaux in the magnetization curves for spin-S chains and ladders. The analytical results are complemented by a density matrix renormalization group (DMRG) study for a trimerized spin-1/2 and anisotropic spin-3/2 doped chains.