论文标题
深入了解聚合物协调化合物的地面旋转布置和双方纠缠[dy $ _2 $ _2 $ cu $ _2 $] $ _ n $通过对称的spin-1/2 ising-ising-heisenberg-heisenberg orthogonal-dimer链
Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy$_2$Cu$_2$]$_n$ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain
论文作者
论文摘要
Cu $^{2+} $ - Cu $^{2+} $二聚体的地面旋转布置和两分纠缠在4F-3D杂音协调聚合物的磁化过程中 [{Dy(hfac)$_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对称各向同性旋转-1/2 $ ising-Heisenberg正交链链。数值结果指向该化合物的五个可能的基态，并在Cu $^{2+} $ -CU $^{2+} $中具有三个不同程度的量子纠缠。除了标准的铁磁性和饱和阶段外，没有Cu $^{2+} $离子的量子纠缠，它们以低温磁化曲线为宽的高原曲线以非饱和磁化为$16.26μ_ {\ rm b} $ and Atatrivation $20.26μ_} $20.82μ_ {在Cu $^{2+} $ - Cu $^{2+} $和两个具有完全纠缠的Cu $^{2+} $ -CU $^{2+} $ dimers的单点阶段和两个单点阶段和两个单点阶段。以前的量子相可以在低温磁化过程中鉴定为非常狭窄的中级高原，磁化磁化强度$9.27μ_ {\ rm B} $每个单位电池，而后者为零磁化高原和中间高原，并在磁化率上以磁化速度为$18.54μ__ {\ rm b} $。量化了库珀二聚体内的纠缠的一致温度变化，指向Cu $^{2+} $ - Cu $^{2+} $的纠缠状态的临时热激活，也可能暂时激活。
The ground-state spin arrangement and the bipartite entanglement within Cu$^{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 $16.26μ_{\rm B}$ and at the saturation value $20.82μ_{\rm B}$, 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 $9.27μ_{\rm B}$ per unit cell, while the latter ones as zero magnetization plateau and intermediate plateau at the magnetization $18.54μ_{\rm B}$. 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.
