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The ground state, magnetization scenario and the local bipartite quantumentanglement of a mixed spin-$1/2$ Ising--Heisenberg model in a magnetic fieldon planar lattices formed by identical corner-sharing bipyramidal plaquettes isexamined by combining the exact analytical concept of generalizeddecoration-iteration mapping transformations with Monte Carlo simulationsutilizing the Metropolis algorithm. The ground-state phase diagram of the modelinvolves six different phases, namely, the standard ferrimagnetic phase, fullysaturated phase, two unique quantum ferrimagnetic phases, and twomacroscopically degenerate quantum ferrimagnetic phases with two chiral degreesof freedom of the Heisenberg triangular clusters. The diversity of ground-statespin arrangement is manifested themselves in seven different magnetizationscenarios with one, two or three fractional plateaus whose values aredetermined by the number of corner-sharing plaquettes. The low-temperaturevalues of the concurrence demonstrate that the bipartite quantum entanglementof the Heisenberg spins in quantum ferrimagnetic phases is field independent,but twice as strong if the Heisenberg spin arrangement is unique as it istwo-fold degenerate.

entropy

Ground State, Magnetization Process and Bipartite Quantum Entanglement  of a Spin-1/2 Ising-Heisenberg Model on Planar Lattices of Interconnected  Trigonal Bipyramids