# Quantum Phase Transition in the Twisted Three-Leg Spin Tube

## TL;DR

This study explores quantum phase transitions in a twisted three-leg spin tube with easy-plane anisotropy, revealing conditions for the emergence and disappearance of a 1/3 magnetization plateau through numerical analysis.

## Contribution

It provides the first detailed phase diagram and identifies the quantum phase transition between plateau and non-plateau phases in this model.

## Key findings

- Existence of a 1/3 magnetization plateau under certain anisotropy conditions
- Identification of a quantum phase transition between plateau and non-plateau phases
- Numerical phase diagram mapping the transition regions

## Abstract

We investigate the spin-1/2 twisted three-leg antiferromagnetic quantum spin tube in the presence of the easy-plane anisotropy, using the numerical diagonalization of finite-size clusters. And we observe cases of the existence and the absence of magnetization plateau at 1/3 height of saturation magnetization when the anisotropy is tuned. The phenomenological-renormalization analysis indicates a quantum phase transition between the 1/3 magnetization plateau phase and the plateauless one. The phase diagram is also presented.

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Source: https://tomesphere.com/paper/1706.06947