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

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Cited by in corpus (10)

• Genuine quantum correlations in quantum many-body systems: a review of recent progress
• Spin dynamics of the bilinear-biquadratic $S=1$ Heisenberg model on the triangular lattice: a quantum Monte Carlo study
• Density-Matrix Renormalization Group Study of Kitaev--Heisenberg Model on a Triangular Lattice
• Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
• 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
• Schmidt gap in random spin chains
• Using Random Boundary Conditions to simulate disordered quantum spin models in 2D-systems
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Chaotic spin-spin entanglement on a recursive lattice