Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy$_2$Cu$_2$]$_n$ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain

Lucia Gálisová

doi:10.1016/j.jmmm.2022.169721

paper

Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy $_{2}$ Cu $_{2}$ ] $_{n}$ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain

arXiv:2207.11943 · doi:10.1016/j.jmmm.2022.169721

Abstract

The ground-state spin arrangement and the bipartite entanglement within Cu $^{2 +}$ -Cu $^{2 +}$ dimers across the magnetization process of the 4f-3d heterometallic coordination polymer [{Dy(hfac) $_{2}$ (CH $_{3}$ OH)} $_{2}$ {Cu(dmg)(Hdmg)} $_{2}$ ] $_{n}$ (H $_{2}$ dmg = dimethylglyoxime, Hhfac = 1,1,1,5,5,5-hexafluoropentane-2,4-dione) are theoretically examined using the symmetric isotropic spin- $1/2$ Ising-Heisenberg orthogonal-dimer chain. The numerical results point to five possible ground states of the compound with three different degrees of the quantum entanglement within Cu $^{2 +}$ -Cu $^{2 +}$ . Besides the standard ferrimagnetic and saturated phases without quantum entanglement of Cu $^{2 +}$ ions, which are manifested in low-temperature magnetization curve as wide plateaus at the non-saturated magnetization $16.26 μ_{B}$ and at the saturation value $20.82 μ_{B}$ , respectively, one also finds an intriguing singlet-like phase with just partial entanglement within Cu $^{2 +}$ -Cu $^{2 +}$ and two singlet phases with fully entangled Cu $^{2 +}$ -Cu $^{2 +}$ dimers. The former quantum phase can be identified in the low-temperature magnetization process as very narrow intermediate plateau at the magnetization $9.27 μ_{B}$ per unit cell, while the latter ones as zero magnetization plateau and intermediate plateau at the magnetization $18.54 μ_{B}$ . Non-monotonous temperature variations of the concurrence, through which the entanglement within cooper dimers is quantified, point to the possible temporary thermal activation of the entangled states of Cu $^{2 +}$ -Cu $^{2 +}$ also above non-entangled ferrimagnetic and saturated phases.

9 pages, 5 figures, to be published in JMMM

Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy $_{2}$ Cu $_{2}$ ] $_{n}$ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain

Abstract

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Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy2​Cu2​]n​ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain

Abstract

References in corpus (3)

Cited by in corpus (4)

Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy $_{2}$ Cu $_{2}$ ] $_{n}$ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain