Thermal entanglement between non-nearest-neighbor spins on fractal lattices

Abstract

We investigate thermal entanglement between two non-nearest-neighbor sites in ferromagnetic Heisenberg chain and on fractal lattices by means of the decimation renormalization-group (RG) method. It is found that the entanglement decreases with increasing temperature and it disappears beyond a critical value T_{c}. Thermal entanglement at a certain temperature first increases with the increase of the anisotropy parameter Δ and then decreases sharply to zero when Δ is close to the isotropic point. We also show how the entanglement evolves as the size of the system L becomes large via the RG method. As L increases, for the spin chain and Koch curve the entanglement between two terminal spins is fragile and vanishes when L\geq17, but for two kinds of diamond-type hierarchical (DH) lattices the entanglement is rather robust and can exist even when L becomes very large. Our result indicates that the special fractal structure can affect the change of entanglement with system size.

10 pages, 6 figures

References in corpus (10)

• Long-distance entanglement in spin systems
• Entanglement in a Solid State Spin Ensemble
• Qubit Teleportation and Transfer across Antiferromagnetic Spin Chains
• The renormalization of entanglement in the anisotropic Heisenberg (XXZ) model
• Entanglement Distribution in Pure-State Quantum Networks
• Experimental Determination of Thermal Entanglement in Spin Clusters using Magnetic Susceptibility Measurements
• Entanglement and quantum phase transition in the one-dimensional anisotropic XY model
• Quantum entanglement and quantum phase transition in the XY model with staggered Dzyaloshinskii-Moriya interaction
• Thermal entanglement properties of small spin clusters
• Global entanglement in XXZ chains

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