Multiple magnetization plateaus induced by farther neighbor interaction in an $S = 1$ two-leg Heisenberg spin ladder

TL;DR

This paper investigates how farther neighbor interactions in an $S=1$ two-leg Heisenberg spin ladder induce multiple magnetization plateaus, revealing exactly solvable regimes and stabilization of plateaus at specific fractions.

Contribution

It introduces an exactly solvable regime for the $S=1$ ladder with farther neighbor interactions, showing stabilization of magnetization plateaus at multiples of 1/6.

Findings

Farther neighbor interactions stabilize magnetization plateaus at multiples of 1/6.

Exactly solvable ground states are product states.

Magnetization curves exhibit two series of plateaus with different periodicities.

Abstract

We study the magnetization process of the $S=1$ Heisenberg model on a two-leg ladder with farther neighbor spin-exchange interaction. We consider the interaction that couples up to the next-nearest neighbor rungs and find an exactly solvable regime where the ground states become product states. The next-nearest neighbor interaction tends to stabilize magnetization plateaus at multiples of 1/6. In most of the exactly solvable regime, a single magnetization curve shows two series of plateaus with different periodicities.