论文标题
在超高磁场中对红宝石的晶体场paschen背效应
Crystal-Field Paschen-Back Effect on Ruby in Ultrahigh Magnetic Fields
论文作者
论文摘要
Ruby（Cr $^{3+} $：$α$ -AL $ _ {2} $ o $ $ _ {3} $）的R线的Zeeman Spectra通过Magneto-PhotoLumemeencence测量研究了最高230 t的Ultrahigh磁场。观察到的Zeeman模式表现出高于100 t的非线性行为，证明了先前报道的$ {\ bf b} \ perp c $几何形状的先前报道的paschen-back效应。我们采用了晶体场多重理论，包括立方水晶场（$ {\ Mathcal H} _ {\ rm Cutic} $），三角形水晶场（$ {\ Mathcal H} _ {\ rm Trig} $交互（$ {\ Mathcal H} _ {\ rm z} $）。发现R线的非线性分裂是由于$^{2} E $和$^{2} t_ {1} $状态之间的杂交，这导致用轨道角动量对这些Zeeman级别进行量化。我们的结果表明，$ {\ Mathcal H} _ {\ rm Cutic} $，$ {\ Mathcal H} _ {\ rm Trig} $，$ {\ Mathcal H} _ {\ Mathcal H} _ {\ rm so} $ {要观察$ Crystal-Field $ paschen-back效应对高场极端的发作。
Zeeman spectra of the R lines of ruby (Cr$^{3+}$: $α$-Al$_{2}$O$_{3}$) were studied in ultrahigh magnetic fields up to 230 T by magneto-photoluminescence measurements. The observed Zeeman patterns exhibit nonlinear behaviors above 100 T, evidencing the breakdown of the previously reported Paschen-Back effect for ${\bf B} \perp c$ geometry. We adopted the crystal-field multiplet theory including the cubic crystal field (${\mathcal H}_{\rm cubic}$), the trigonal crystal field (${\mathcal H}_{\rm trig}$), the spin-orbit interaction (${\mathcal H}_{\rm SO}$), and the Zeeman interaction (${\mathcal H}_{\rm Z}$). It is found that the nonlinear splitting of the R lines is owing to the hybridization between the $^{2}E$ and $^{2}T_{1}$ states, which leads to the quantization of these Zeeman levels with the orbital angular momentum. Our results suggest that the exquisite energy balance among ${\mathcal H}_{\rm cubic}$, ${\mathcal H}_{\rm trig}$, ${\mathcal H}_{\rm SO}$, and ${\mathcal H}_{\rm Z}$ realized in ruby offers a unique opportunity to observe the onset of the $crystal-field$ Paschen-Back effect toward the high-field extreme.
