Entanglement properties of spin models in triangular lattices

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.

19 pages, 8 figures

References in corpus (7)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Supersolid hardcore bosons on the triangular lattice
• Quantum phases of hardcore bosons with long-range interactions on a square lattice
• Extended supersolid phase of frustrated hard-core bosons on a triangular lattice
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Variational wavefunction study of the triangular lattice supersolid
• Entanglement properties of spin models in triangular lattices

Cited by in corpus (2)

• Magnetization plateau and supersolid phases in the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice
• Entanglement properties of spin models in triangular lattices