# Reentrance of Topological Phase in Spin-1 Frustrated Heisenberg Chain

## TL;DR

This paper reports a novel reentrant Haldane phase in a frustrated spin-1 Heisenberg chain, induced by magnetic field and driven by quantum fluctuations, revealing complex topological behavior in frustrated quantum magnets.

## Contribution

It uncovers a new reentrant topological phase in a frustrated spin chain, showing partial Haldane order induced by magnetic field and quantum fluctuations.

## Key findings

- Reentrant Haldane phase observed at zero temperature.
- Partial topological order combines Haldane and ferromagnetic states.
- Quantum fluctuations due to frustration drive the phase reentrance.

## Abstract

For the Haldane phase, the magnetic field usually tends to break the symmetry and drives the system into a topologically trivial phase. Here, we report a novel reentrance of the Haldane phase at zero temperature in the spin-1 antiferromagnetic Heisenberg model on sawtooth chain. A partial Haldane phase is induced by the magnetic field, which is the combination of the Haldane state in one sublattice and a ferromagnetically ordered state in the other sublattice. Such a partial topological order is a result of the zero-temperature entropy due to quantum fluctuations caused by geometrical frustration.