Dynamic Pseudogap Model
Abstract
We formulate a theory of pseudogap formation generated by dynamic finite nesting vector bf Q fluctuations with characteristic oscillation frequency ω0, and damping γ. Starting from a Hamiltonian describing electrons coupled to a classical Gaussian random field, we introduce the double - series representations of the single - particle Green's function within an Abelian (commuting) approximation to the exact SU(2) time evolution of the pseudogap problem. The resulting propagator naturally acquires a generalized Bogoliubov structure in which every stochastic scattering history is characterized by an effective dynamic gap, leading to a coherent superposition of dynamically broadened sidebands with complex Poisson weights. A central result of the theory is the emergence of a dynamically generated decoherence scale Γeff governing the crossover between two qualitatively different pseudogap regimes. For ω0>Γeff the fluctuating field is resolved coherently and the double-series representation provides a controlled description of dynamic sideband formation. Conversely, when Γeff≳ω0, coherence is progressively lost and the theory crosses over to the quasistatic fluctuating - gap regime described by the exact continued-fraction solution. The coherent and quasistatic descriptions are therefore interpreted as two complementary asymptotic limits of the same microscopic dynamic pseudogap model. The detailed results of numerical calculations for electron spectral density and density of states supporting our approach are presented for different sets of model parameters confirming the general picture of this crossover.
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BibTeX
@misc{kuchinskii2026dynamic,
title = {{Dynamic Pseudogap Model}},
author = {E. Z. Kuchinskii and M. V. Sadovskii},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.19592},
eprint = {2608.19592},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.19592},
}
RIS
TY - UNPB
TI - Dynamic Pseudogap Model
AU - E. Z. Kuchinskii
AU - M. V. Sadovskii
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2608.19592
UR - https://arxiv.org/abs/2608.19592
AB - We formulate a theory of pseudogap formation generated by dynamic finite nesting vector bf Q fluctuations with characteristic oscillation frequency ω_0, and damping γ. Starting from a Hamiltonian describing electrons coupled to a classical Gaussian random field, we introduce the double - series representations of the single - particle Green's function within an Abelian (commuting) approximation to the exact SU(2) time evolution of the pseudogap problem. The resulting propagator naturally acquires a generalized Bogoliubov structure in which every stochastic scattering history is characterized by an effective dynamic gap, leading to a coherent superposition of dynamically broadened sidebands with complex Poisson weights. A central result of the theory is the emergence of a dynamically generated decoherence scale Γ_eff governing the crossover between two qualitatively different pseudogap regimes. For ω_0>Γ_eff the fluctuating field is resolved coherently and the double-series representation provides a controlled description of dynamic sideband formation. Conversely, when Γ_eff≳ω_0, coherence is progressively lost and the theory crosses over to the quasistatic fluctuating - gap regime described by the exact continued-fraction solution. The coherent and quasistatic descriptions are therefore interpreted as two complementary asymptotic limits of the same microscopic dynamic pseudogap model. The detailed results of numerical calculations for electron spectral density and density of states supporting our approach are presented for different sets of model parameters confirming the general picture of this crossover.
ER -