When Can a Cavity Move a Mott Transition? A Spectral-Density Criterion within Gutzwiller Theory

Title:When Can a Cavity Move a Mott Transition? A Spectral-Density Criterion within Gutzwiller Theory

Abstract: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.

Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2607.22283 [cond-mat.str-el]

(or arXiv:2607.22283v1 [cond-mat.str-el] for this version)

https://doi.org/10.48550/arXiv.2607.22283 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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