AI 中文总结
研究真空电磁涨落对体莫特转变的影响，基于古兹维勒变分方法推导判据，表明电磁环境需提供特定谱权重时莫特转变才移动，还通过多种方式验证了相关结果。
AI 中文摘要
真空电磁涨落能否移动体莫特转变？在古兹维勒变分方法中，我们推导了一个区分集体光谱杂化与热力学相控制的判据。结果表明，仅当电磁环境提供具有键尺度变化的有限热力学谱权重时，莫特转变才会移动。联合频率 - 空间泡利 - 费尔斯密度给出主导移动。表面声子极化激元产生从\(d^{-3}\)到\(d^{-5}\)的交叉，有限配位变分蒙特卡罗支持预测的临界系数和\(M/N\)标度。
英文摘要
Can vacuum electromagnetic fluctuations shift a bulk Mott transition? Within the Gutzwiller variational method, we derive a criterion that separates collective spectroscopic hybridization from thermodynamic phase control. We show that a Mott transition shifts only when the electromagnetic environment supplies finite thermodynamic spectral weight with bond-scale variation. A joint frequency--spatial Pauli--Fierz density gives the leading shift. Surface phonon polaritons yield a $d^{-3}$-to-$d^{-5}$ crossover, while finite-coordination variational Monte Carlo supports the predicted critical coefficient and $M/N$ scaling.
