A Strong-Coupling Approach to the Magnetization Process of Polymerized Quantum Spin Chains

TL;DR

This paper presents a strong-coupling theoretical approach to understanding magnetization plateaux in polymerized quantum spin chains, providing explicit calculations and insights into the universality classes of phase transitions.

Contribution

It introduces a general strong-coupling framework explaining magnetization plateaux and computes boundary series for specific spin chains, advancing understanding of their phase transitions.

Findings

Strong-coupling limit explains plateau formation.

Series computed for trimerized and quadrumerized chains.

Universality classes linked to effective Hamiltonians.

Abstract

Polymerized quantum spin chains (i.e. spin chains with a periodic modulation of the coupling constants) exhibit plateaux in their magnetization curves when subjected to homogeneous external magnetic fields. We argue that the strong-coupling limit yields a simple but general explanation for the appearance of plateaux as well as of the associated quantization condition on the magnetization. We then proceed to explicitly compute series for the plateau boundaries of trimerized and quadrumerized spin-1/2 chains. The picture is completed by a discussion how the universality classes associated to the transitions at the boundaries of magnetization plateaux arise in many cases from a first order strong-coupling effective Hamiltonian.