Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains

Abstract

Ground-state and finite-temperature properties of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains are examined within an exact analytical approach based on the generalized decoration-iteration map. A particular emphasis is laid on the investigation of the effect of geometric frustration, which is generated by the competition between Heisenberg- and Ising-type exchange interactions. It is found that an interplay between the geometric frustration and quantum effects gives rise to several quantum ground states with entangled spin states in addition to some semi-classically ordered ones. Among the most interesting results to emerge from our study one could mention a rigorous evidence for quantized plateux in magnetization curves, an appearance of the round minimum in the thermal dependence of susceptibility times temperature data, double-peak zero-field specific heat curves, or an enhanced magnetocaloric effect when the frustration comes into play. The triple-peak specific heat curve is also detected when applying small external field to the system driven by the frustration into the disordered state.

19 pages, 11 figures, submitted to J. Phys.: Condens. Matter

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• Normal and inverse magnetocaloric effect in magnetic multilayers with antiferromagnetic interlayer coupling
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• Magnetization plateaus of an exactly solvable spin-1 Ising-Heisenberg diamond chain
• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Zero temperature non-plateau magnetization and magnetocaloric effect in an Ising-XYZ diamond chain structure
• Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with the localized Ising spins and mobile electrons
• Magnetocaloric effect in the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Frustrated quantum Heisenberg antiferromagnets at high magnetic fields: Beyond the flat-band scenario
• On the absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains
• Thermal entanglement in a spin-1/2 Ising-XYZ distorted diamond chain with the second-neighbor interaction between nodal Ising spins
• Entanglement, magnetic and quadrupole moments properties of the mixed spin Ising-Heisenberg diamond chain
• Haldane Phases and Ferrimagnetic Phases with Spontaneous Translational Symmetry Breakdown in Distorted Mixed Diamond Chains with Spins 1 and 1/2
• Exact results for a generalized spin-1/2 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
• Magnetic properties, Lyapunov exponent and superstability of the spin-1/2 Ising-Heisenberg model on diamond chain
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• Spinless fermion model on diamond chain
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• A paradigm of spontaneous marginal phase transition at finite temperature in one-dimensional ladder Ising models
• Ground-state phase diagram and magnetization process of the exactly solved mixed spin-(1,1/2) Ising diamond chain
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• Exactly solved mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain
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• Modified strong-coupling treatment of a spin-1/2 Heisenberg trimerized chain developed from the exactly solved Ising-Heisenberg diamond chain
• Low temperature pseudo-phase transition in an extended Hubbard diamond chain
• Quantum Phase Transitions in Alternating-Bond Mixed Diamond Chains with Spins 1 and 1/2
• Paradigm for approaching the forbidden phase transition in the one-dimensional Ising model at fixed finite temperature: Single chain in a magnetic field
• Phase transitions of geometrically frustrated mixed spin-1/2 and spin-1 Ising-Heisenberg model on diamond-like decorated planar lattices
• Non-conserved magnetization operator and `fire-and-ice' ground states in the Ising-Heisenberg diamond chain
• Semiquantitative theory for high-field low-temperature properties of a distorted diamond spin chain
• Effective low-energy description of almost Ising-Heisenberg diamond chain
• Local distributions of the 1D dilute Ising model
• Ground state and thermodynamic properties of spin-1/2 isosceles Heisenberg triangles for V${}_6$-like magnetic molecules
• Multiple frustration-induced plateaus in a magnetization process of the mixed spin-1/2 and spin-3/2 Ising-Heisenberg diamond chain
• Thermodynamic features of the 1D dilute Ising model in the external magnetic field
• Spotlighting quantum phase transition in spin-1/2 Ising-Heisenberg diamond chain employing Measurement-Induced Nonlocality
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
• Exactly solvable spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
• Quantum correlations in Ising-XYZ diamond chain structure under an external magnetic field
• Entanglement of the Ising-Heisenberg diamond spin-1/2 cluster in evolution
• Investigation of the Quantum Correlations for a S=1/2 Ising- Heisenberg Model on a Symmetrical Diamond Chain
• Zero temperature phase transitions and their anomalous influence on thermodynamic behavior in the q-state Potts model on a diamond chain
• Navigating the phase diagram of quantum many-body systems in phase space
• Pseudo-critical behavior of spin-1/2 Ising diamond and tetrahedral chains
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• Exact Thermodynamic Properties of (1,1/2) Mixed Diamond Chains with Strong Single-Site Anisotropy
• Spin-1/2 Ising-Heisenberg distorted diamond chain with antiferromagnetic Ising and ferromagnetic Heisenberg interactions
• Frustration -- Exactly Solved Frustrated Models