Ground State Magnetization of Polymerized Spin Chains

TL;DR

This paper studies the ground state magnetization behavior in spin 1/2 polymerized Heisenberg chains under magnetic fields, analyzing fractional quantization and excitation gaps using bosonization and numerical methods.

Contribution

It introduces a detailed analysis of magnetization plateaus and excitation gaps in polymerized spin chains using combined analytical and numerical approaches.

Findings

Identification of magnetization plateaus in polymerized chains

Characterization of gap opening exponents

Validation of theoretical predictions with numerical results

Abstract

We investigate the ground state magnetization plateaus appearing in spin 1/2 polymerized Heisenberg chains under external magnetic fields. The associated fractional quantization scenario and the exponents which characterize the opening of gapful excitations are analyzed by means of abelian bosonization methods. Our conclusions are fully supported by the extrapolated results obtained from Lanczos diagonalizations of finite systems.