Disentangling real space fluctuations: the diagnostics of metal-insulator transitions beyond single-particle spectral functions
arXiv:2501.18325 · doi:10.1103/1nt5-swsk
Abstract
The destruction of metallicity due to the mutual Coulomb interaction of quasiparticles gives rise to fascinating phenomena of solid state physics such as the Mott metal-insulator transition and the pseudogap. A key observable characterizing their occurrences is the single-particle spectral function, determined by the fermionic self-energy. In this paper we investigate in detail how real space fluctuations are responsible for a self-energy that drives the Mott-Hubbard metal-insulator transition. To this aim we first introduce a real space fluctuation diagnostics approach to the Hedin equation, which connects the fermion-boson coupling vertex to the self-energy . Second, by using cellular dynamical mean-field theory calculations for we identify the leading physical processes responsible for the destruction of metallicity across the transition.
arXiv comment21 pages, 17 figures
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