Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain

Abstract

The spin-1/2 Ising-Heisenberg tetrahedral chain is exactly solved using its local gauge symmetry, which enables one to establish a rigorous mapping with the corresponding chain of composite Ising spins tractable within the transfer-matrix approach. Exact results derived for spin-spin correlation functions are employed to obtain the frustration temperature, at which a product of correlation functions along an elementary triangular plaquette becomes negative and the relevant spins experience a spin frustration. In addition, we have exactly calculated a concurrence quantifying thermal entanglement along with a threshold temperature, above which concurrence as a measure of thermal entanglement vanishes. It is shown that the frustration and threshold temperature coincide at sufficiently low temperatures, while they exhibit a very different behavior in the high-temperature region when tending towards completely different asymptotic limits. The threshold temperature additionally shows a notable reentrant behavior when it extends over a narrow temperature region above the classical ground state without any quantum correlations. It is demonstrated that the specific heat may display temperature dependence with or without an anomalous low-temperature peak for a relatively strong or weak Heisenberg interaction, respectively.

9 pages, 6 figures

References in corpus (22)

• Quantum entanglement
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Ladders in a magnetic field: a strong coupling approach
• Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model
• Magnetization plateaux and jumps in a class of frustrated ladders: A simple route to a complex behaviour
• Universal low-temperature behavior of frustrated quantum antiferromagnets in the vicinity of the saturation field
• Studies of a 2-Chain Spin Ladder with Frustrating Second Neighbor Interactions
• Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes
• Emergent Ising degrees of freedom in frustrated two-leg ladder and bilayer $s=1/2$ Heisenberg antiferromagnets
• Mixed Heisenberg Chains. I. The Ground State Problem
• Entanglement in spin-one Heisenberg chains
• Survival of entanglement in thermal states
• Mixed Heisenberg Chains. II. Thermodynamics
• Frustration induced plateaux in S>=1/2 Heisenberg spin ladders
• Thermal robustness of multipartite entanglement of the 1-D spin 1/2 XY model
• Quantum phase transitions in the exactly solved spin-1/2 Heisenberg-Ising ladder
• Phase diagrams of the Ising-Heisenberg chain with S=1/2 triangular XXZ clusters

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