# Magnetization and the Concurrence of the Spin-1/2 Ising-Heisenberg Pyrochlore Ladder

## TL;DR

This paper introduces an exactly solvable quantum spin model on a pyrochlore ladder that exhibits magnetization plateaus, susceptibility peaks, and thermal entanglement, providing insights into complex magnetic behaviors.

## Contribution

It presents a novel exactly solvable Heisenberg-Ising model on a pyrochlore ladder, analyzing its magnetic and entanglement properties with exact methods.

## Key findings

- Magnetization plateaus at zero and half saturation
- Characteristic peaks in magnetic susceptibility
- Thermal entanglement plateau at low temperatures

## Abstract

We have established a quantum antiferromagnetic Heisenberg-Ising model on a spin-1/2 pyrochlore edge-shared ladder with Heisenberg intra-rung and Ising inter-rung interactions as a perspicuous candidate to exhibit magnetization mid and zero plateaus, characteristic peaks of magnetic susceptibility, and thermal entanglement mid plateau. The model is exactly solvable and thus, all the essential properties such as the thermal entanglement and the magnetic properties of the system can be exactly calculated. The calculations are done both through the transfer matrix technique and through the reduced density matrix. The magnetization plateaus are observed at zero and half the saturation value and the magnetic susceptibility exhibits a clear demonstration of the associated characteristic peaks. The model also displays the mid plateau of the thermal entanglement as a function of the external magnetic field at low temperatures.