Magnetization curve of the kagome-strip-lattice antiferromagnet

TL;DR

This study investigates the magnetization behavior of the kagome-strip-lattice antiferromagnet using numerical methods, revealing multiple magnetization plateaus, symmetry breaking, and a macroscopic jump near saturation.

Contribution

It provides the first detailed numerical analysis of magnetization plateaus and symmetry breaking in the kagome-strip-lattice antiferromagnet for different spin cases.

Findings

Multiple magnetization plateaus observed for S=1/2 and S=1.

Translational symmetry breaking confirmed at certain plateaus.

Macroscopic jump near saturation field regardless of spin value.

Abstract

We study the magnetization curve of the Heisenberg model on the quasi-one-dimensional kagome-strip lattice that shares the same lattice structure in the inner part with the two-dimensional kagome lattice. Our numerical calculations based on the density matrix renormalization group method reveal that the system shows several magnetization plateaus between zero magnetization and the saturated one; we find the presence of the magnetic plateaus with the n=7 height of the saturation for n =1,2,3,4,5 and 6 in the S =1/2 case, whereas we detect only the magnetic plateaus of n =1,3,5 and 6 in the S =1 case. In the cases of n =2,4 and 6 for the S=1/2 system, the Oshikawa-Yamanaka-Affleck condition suggests the occurrence of the translational symmetry breaking (TSB). We numerically confirm this non-trivial TSB in our results of local magnetizations. We have also found that the macroscopic jump appears near the saturation field irrespective of the spin amplitude as well as the two-dimensional kagome model.