Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets

TL;DR

This study explores the unique magnetization behaviors of $S=1/2$ quantum antiferromagnets on triangular and Kagome lattices under magnetic fields, revealing a conventional plateau and an unconventional ramp, respectively.

Contribution

It provides a comparative analysis of magnetization phenomena on different lattices using exact diagonalization, highlighting the novel magnetization ramp on the Kagome lattice.

Findings

Triangular lattice exhibits a conventional magnetization plateau.

Kagome lattice shows an unconventional magnetization ramp.

Critical exponent analysis distinguishes the two phenomena.

Abstract

We investigate the $S=1/2$ quantum spin antiferromagnets on the triangular and Kagome lattices in magnetic field, using the numerical exact diagonalization. Particularly we focus on an anomalous magnetization behavior of each system at 1/3 of the saturation magnetization. The critical exponent analyses suggest that it is a conventional magnetization plateau on the triangular lattice, while an unconventional phenomenon, called the magnetization ramp, on the Kagome lattice.