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

Abstract

The ground state, magnetization scenario and the local bipartite quantum entanglement of a mixed spin-1/2 Ising–Heisenberg model in a magnetic field on planar lattices formed by identical corner-sharing bipyramidal plaquettes is examined by combining the exact analytical concept of generalized decoration-iteration mapping transformations with Monte Carlo simulations utilizing the Metropolis algorithm. The ground-state phase diagram of the model involves six different phases, namely, the standard ferrimagnetic phase, fully saturated phase, two unique quantum ferrimagnetic phases, and two macroscopically degenerate quantum ferrimagnetic phases with two chiral degrees of freedom of the Heisenberg triangular clusters. The diversity of ground-state spin arrangement is manifested themselves in seven different magnetization scenarios with one, two or three fractional plateaus whose values are determined by the number of corner-sharing plaquettes. The low-temperature values of the concurrence demonstrate that the bipartite quantum entanglement of the Heisenberg spins in quantum ferrimagnetic phases is field independent, but twice as strong if the Heisenberg spin arrangement is unique as it is two-fold degenerate.

Unconventional spin frustration due to two competing ferromagnetic interactions of a spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice

“…In spite of their considerably simplified nature, exactly solvable Ising-Heisenberg spin models represent appealing issue to deal with as they provide beneficial playground for investigating cooperative quantum phenomena without any unbiased approximation [9][10][11][12][13][14][15][16]. It is worthwhile to remark that 2D Ising-Heisenberg models additionally allow existence of a spontaneous long-range order not only at absolute zero temperature, because the Mermin-Wagner theorem [17] does not apply for these 2D lattice-statistical models due to an incorporation of the Ising spins.…”

Emergence of quantum spin frustration in spin-1/2 Ising-Heisenberg model on a decorated honeycomb lattice

“…The study of these models was based on their close relationship with geometrically frustrated magnetic polymers [30]. There are even several investigations concerning other Ising-Heisenberg lattices like bipyramidal plaquette [31,32], triangles-in-triangles lattices [33,34], martini lattice [35], and triangulated Husimi [36] and kagomé [37] lattices. It is also worth mentioning also that there are investigations on spin-1/2 Heisenberg antiferromagnetic star lattice structure [38,39].…”

Quantum Entanglement in Spin Dimers: Effects of a Magnetic Field and Heterogeneous g-Factors

“…Recently, studying entanglement features of quantum spin clusters or molecular magnets [17,18] has became very popular, as there are firm evidences that molecular magnets can be promising materials for realizing qubits for quantum information technologies [19][20][21]. In numerous papers, which have been published recently, various aspects of quantum entanglement in few-body spin systems have been figured out [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”