Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with the localized Ising spins and mobile electrons

Abstract

The strongly correlated spin-electron system on a diamond chain containing localized Ising spins on its nodal lattice sites and mobile electrons on its interstitial sites is exactly solved in a magnetic field using the transfer-matrix method. We have investigated in detail all available ground states, the magnetization processes, the spin-spin correlation functions around an elementary plaquette, fermionic quantum concurrence and spin frustration. It is shown that the fermionic entanglement between mobile electrons hopping on interstitial sites and the kinetically-induced spin frustration are closely related yet independent phenomena. In the ground state, quantum entanglement only appears within a frustrated unsaturated paramagnetic phase, while thermal fluctuations can promote some degree of quantum entanglement above the non-frustrated ground states with saturated paramagnetic or classical ferrimagnetic spin arrangements.

11 pages, 10 figures

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• Localizable Entanglement
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Cited by in corpus (16)

• Entangled state teleportation through a couple of quantum channels composed of XXZ dimers in an Ising-XXZ diamond chain
• On the effects of an impurity in an Ising-$XXZ$ diamond chain on the thermal entanglement, on the quantum coherence and on the quantum teleportation
• Thermal entanglement in a spin-1/2 Ising-XYZ distorted diamond chain with the second-neighbor interaction between nodal Ising spins
• Quantum entanglement in the neighborhood of pseudo-transition for a spin-1/2 Ising-XYZ diamond chain
• Exactly solved mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain
• Macroscopic ground-state degeneracy and magnetocaloric effect in the exactly solvable spin-1/2 Ising-Heisenberg double-tetrahedral chain
• Low temperature pseudo-phase transition in an extended Hubbard diamond chain
• Non-conserved magnetization operator and `fire-and-ice' ground states in the Ising-Heisenberg diamond chain
• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
• Ground state and thermodynamic properties of spin-1/2 isosceles Heisenberg triangles for V${}_6$-like magnetic molecules
• Residual entropy of the dilute Ising chain in a magnetic field
• Influence of applied electric and magnetic fields on a thermally-induced reentrance of a coupled spin-electron model on a decorated square lattice
• Entanglement of the Ising-Heisenberg diamond spin-1/2 cluster in evolution
• Constructing entanglement measures for fermions
• A coupled spin-electron diamond chain with different Landé g-factors of localized Ising spins and mobile electrons
• Preparation of two-qubit entangled states on a spin-1/2 Ising-Heisenberg diamond spin cluster by controlling the measurement