Magnetization process, bipartite entanglement and enhanced magnetocaloric effect of the exactly solved spin-1/2 Ising-Heisenberg tetrahedral chain

Abstract

The frustrated spin-1/2 Ising-Heisenberg ladder with Heisenberg intra-rung and Ising inter-rung interactions is exactly solved in a longitudinal magnetic field by taking advantage of the local conservation of the total spin on each rung and the transfer-matrix method. We have rigorously calculated the ground-state phase diagram, magnetization process, magnetocaloric effect and basic thermodynamic quantities for the model, which can be alternatively viewed as an Ising-Heisenberg tetrahedral chain. It is demonstrated that a stepwise magnetization curve with an intermediate plateau at a half of the saturation magnetization is also reflected in respective stepwise changes of the concurrence serving as a measure of bipartite entanglement. The ground-state phase diagram and zero-temperature magnetization curves of the Ising-Heisenberg tetrahedral chain are contrasted with the analogous results of the purely quantum Heisenberg tetrahedral chain, which have been obtained through density-matrix renormalization group (DMRG) calculations. While both ground-state phase diagrams fully coincide in the regime of weak inter-rung interaction, the purely quantum Heisenberg tetrahedral chain develops Luttinger spin-liquid and Haldane phases for strongly coupled rungs which are absent in the Ising-Heisenberg counterpart model.

11 pages, 8 figures

References in corpus (23)

• Spin-lattice coupling in frustrated antiferromagnets
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Enhanced magnetocaloric effect in frustrated magnets
• Quantum and classical thermal correlations in the XY spin-1/2 chain
• Magnetocaloric effect in one-dimensional antiferromagnets
• Universal low-temperature behavior of frustrated quantum antiferromagnets in the vicinity of the saturation field
• Enhanced magnetocaloric effect in frustrated magnetic molecules with icosahedral symmetry
• Experimental Determination of Thermal Entanglement in Spin Clusters using Magnetic Susceptibility Measurements
• Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• Thermal entanglement properties of small spin clusters
• Topological Order, Dimerization, and Spinon Deconfinement in Frustrated Spin Ladders
• Emergent Ising degrees of freedom in frustrated two-leg ladder and bilayer $s=1/2$ Heisenberg antiferromagnets
• Magnetocaloric effect in two-dimensional spin-1/2 antiferromagnets
• Electric polarization induced by Neel order without magnetic superlattice: experimental study of Cu3Mo2O9 and numerical study of a small spin cluster
• Entanglement temperature in molecular magnets composed of S-spin dimers
• Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
• Spin-1/2 Heisenberg ladder: variation of entanglement and fidelity measures close to quantum critical points
• Quantum phase transitions in the exactly solved spin-1/2 Heisenberg-Ising ladder
• Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain
• Quantification of Entanglement from Magnetic Susceptibility for a Heisenberg Spin 1/2 system
• Exact magnetization plateaus and phase transitions in spin-S Heisenberg antiferromagnets in arbitrary dimensions
• Ground state of a spin-1/2 Heisenberg-Ising two-leg ladder with XYZ intra-rung coupling

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• Enhanced magnetocaloric effect in a mixed spin-(1/2, 1) Ising-Heisenberg two-leg ladder with strong-rung interaction
• The specific heat and magnetic properties of a spin-1/2 ladder including butterfly-shaped unit blocks
• Multiple magnetization plateaus induced by farther neighbor interaction in an $S=1$ two-leg Heisenberg spin ladder
• Pseudo-critical behavior of spin-1/2 Ising diamond and tetrahedral chains
• Quantum Magnetism in Fe2Cu2 Polymeric Branched Chains: Insights from Exactly Solved Ising-Heisenberg Model
• Magnetic plateaus and jumps in a spin-1/2 ladder with alternate Ising-Heisenberg rungs: a field dependent study
• Tripartite entanglement in mixed-spin triangle trimmer
• Theoretical investigations of tetrameric magnetic molecules for sub-kelvin cooling