2020/01/24 by Riccardo Rossi, Fedor Šimkovic, Fedor Simkovic +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Computation #Cuprate #Feynman diagram #Formalism (music) #Hubbard model #Mathematics #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Pseudogap #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Renormalization #Statistical physics #Superconductivity #cond-mat.stat-mech #cond-mat.str-el #hep-th
paper · pdf · doi:10.1209/0295-5075/132/11001
published as EPL (Europhysics Letters) 132, 11001 (2020) · 6 pages, 5 figures
arxiv created 2020/01/24 · openalex publication_date 2020/11/05 · arxiv updated 2020/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We present a general formalism that allows for the computation of large-order renormalized expansions, effectively doubling the numerically attainable perturbation order of renormalized Feynman diagrams. We show that this formulation compares advantageously to the currently standard techniques due to its high efficiency, simplicity, and broad range of applicability. Our formalism permits to easily complement perturbation theory with non-perturbative information, which we illustrate by implementing expansions renormalized by the addition of a gap or the inclusion of Dynamical Mean-Field Theory. As a result, we present numerically exact results for the square-lattice hole-doped Fermi-Hubbard model in the low-temperature non-Fermi-liquid regime, relevant to study the pseudogap of cuprate superconductors, and show the momentum-dependent suppression of fermionic excitations in the antinodal region.