Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects

TL;DR

This paper clarifies the physical origin of the transverse field in frustrated quantum Ising magnets and explores its quantum effects, including quantum phase transitions and orderings in Kagome systems, with relevance to rare-earth magnets.

Contribution

It identifies the intrinsic and extrinsic origins of the transverse field and explains quantum effects in Kagome systems, advancing understanding of quantum phase transitions in frustrated magnets.

Findings

Clarified the physical origin of the transverse field in frustrated quantum Ising models.

Explained quantum effects such as plaquette order and phase transitions in Kagome magnets.

Relevance of results to rare-earth tripod Kagome magnets.

Abstract

Transverse field Ising model is a common model in quantum magnetism and is often illustrated as an example for quantum phase transition. Its physical origin in quantum magnets, however, is actually not quite well-understood. The quantum mechanical properties of this model on frustrated systems are not well-understood either. We here clarify the physical origin, both extrinsic one and intrinsic one, for the transverse field of the quantum Ising model, and then explain the quantum effects in the Kagome system. We discuss the quantum plaquette order and the quantum phase transition out of this ordered state in the rare-earth Kagome magnets. Our specific results can find their relevance in the rare-earth tripod Kagome magnets.