Numerical Study of S=1/2 Heisenberg Antiferromagnet on the Floret Pentagonal Lattice

TL;DR

This study investigates the magnetic properties of the $S=1/2$ Heisenberg antiferromagnet on a floret-pentagonal lattice, revealing how magnetization jumps and plateaux evolve near five-ninths saturation magnetization through numerical diagonalization.

Contribution

It provides detailed numerical analysis of magnetization behavior around five-ninths saturation in a novel pentagonal lattice system, highlighting the nature of magnetization jumps and plateaux.

Findings

Magnetization jump occurs near five-ninths saturation.

Magnetization plateaux are absent around this magnetization.

Finite-size analysis up to 45 sites clarifies the behavior.

Abstract

The $S=1/2$ Heisenberg antiferromagnet on the floret-pentagonal lattice with two kinds of interaction strength is studied by the numerical-diagonalization method. It is known that, near the five-ninth of the saturation magnetization, this system shows a magnetization jump that is not accompanied by magnetization plateaux. We focus our attention on the behavior of this system around the five-ninth of the saturation magnetization; the changes of the magnetization jump and plateau at and around this magnetization are clarified from the diagonalization data for finite-size systems up to 45 sites.