Topological phase transitions generated by the order from quantum disorder

TL;DR

This paper reveals that the order from quantum disorder phenomenon can induce topological phase transitions in quantum systems, demonstrated in a weakly interacting bosonic system with potential experimental detection.

Contribution

It uncovers a novel link between OFQD and topological phase transitions, including both perturbative and non-perturbative classes, in quantum lattice systems.

Findings

Identification of topological phase transitions driven by OFQD

Distinction between perturbative and non-perturbative topological phenomena

Discussion of experimental detection methods for these topological phases

Abstract

The order from quantum disorder (OFQD) phenomenon was first discovered in quantum spin systems in geometric frustrated lattice. Similar phenomenon was also discovered in interacting bosonic systems or quantum spin systems with spin-orbit coupling in a bipartite lattice. Here we show that the OFQD also leads to a topological phase transition. We demonstrate this new connection in the experimentally realized weakly interacting Quantum Anomalous Hall system of spinor bosons in an optical lattice. There are two classes of topological phenomena: the first class is a perturbative one smoothly connected to the non-interacting limit. The second one is a non-perturbative one which has no analog in the non-interacting limit. Their experimental detections are also discussed.