Entanglement properties of spin models in triangular lattices

TL;DR

This paper investigates the entanglement characteristics of spin models on triangular lattices, exploring how lattice geometry influences quantum phases and transitions, and applying quantum information concepts like geometric entanglement.

Contribution

It extends the understanding of entanglement in 2D systems by analyzing triangular lattice models and incorporating quantum information measures.

Findings

Entanglement properties depend on lattice geometry.

Geometric entanglement reveals phase transition features.

Analysis provides insights into 2D quantum phase behavior.

Abstract

The different quantum phases appearing in strongly correlated systems as well as their transitions are closely related to the entanglement shared between their constituents. In 1D systems, it is well established that the entanglement spectrum is linked to the symmetries that protect the different quantum phases. This relation extends even further at the phase transitions where a direct link associates the entanglement spectrum to the conformal field theory describing the former. For 2D systems much less is known. The lattice geometry becomes a crucial aspect to consider when studying entanglement and phase transitions. Here, we analyze the entanglement properties of triangular spin lattice models by considering also concepts borrowed from quantum information theory such as geometric entanglement.