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The strongly correlated spin-electron system on a diamond chain containinglocalized Ising spins on its nodal lattice sites and mobile electrons on itsinterstitial sites is exactly solved in a magnetic field using thetransfer-matrix method. We have investigated in detail all available groundstates, the magnetization processes, the spin-spin correlation functions aroundan elementary plaquette, fermionic quantum concurrence and spin frustration. Itis shown that the fermionic entanglement between mobile electrons hopping oninterstitial sites and the kinetically-induced spin frustration are closelyrelated yet independent phenomena. In the ground state, quantum entanglementonly appears within a frustrated unsaturated paramagnetic phase, while thermalfluctuations can promote some degree of quantum entanglement above thenon-frustrated ground states with saturated paramagnetic or classicalferrimagnetic spin arrangements.

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