# Melting of Ferromagnetic Order on a Trellis Ladder

## TL;DR

This study investigates how rung interactions in a frustrated spin-1/2 trellis ladder system lead to the melting of ferromagnetic order, resulting in a non-magnetic ground state with a spin gap and exponential decay of spin correlations.

## Contribution

It reveals how rung interactions induce a non-magnetic ground state and generate a spin gap in a frustrated trellis ladder system, advancing understanding of quantum spin systems.

## Key findings

- Rung interactions induce a non-magnetic ground state.
- Spin gap increases rapidly with rung interaction strength.
- Spin correlations decay exponentially with distance.

## Abstract

The ground state properties of a frustrated spin-1/2 system is studied on a trellis ladder which is composed of two zigzag ladders interacting through rung interactions. The presence of rung interaction between the zigzag ladders induces a non-magnetic ground state, although, each of zigzag ladders has ferromagnetic order in weak antiferromagnetic leg interaction limit. The rung interaction also generates rung dimers and opens spin gap which increases rapidly with rung interaction strength. The correlation between spins decreases exponentially with the distance between them.