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Origin of misleading convergence in self-consistent many-electron theories: Fundamental aspects and practical implications
Herbert EÃl, Matthias Reitner, Evgeny Kozik +1
Self-consistent approaches in many-electron problems typically converge to an unphysical solution in strongly correlated regimes. By deriving the mathematical condition for the sta…
Fractional quantum Hall states by Feynman's diagrammatic expansion
Ben Currie, Evgeny Kozik
The fractional quantum Hall (FQH) effect arises from strong electron correlations in a quantising magnetic field, and features exotic emergent phenomena such as electron fractional…
Strange diffusivity of incoherent metal in half-filled two-dimensional Hubbard model
Youngmin Eom, Igor S. Tupitsyn, Nikolay V. Prokof'ev +3
We study charge transport across the metal-insulator crossover in the half-filled two-dimensional Hubbard model, with particular emphasis on precision control. The dynamic current-…
Combinatorial summation of Feynman diagrams: Equation of state of the 2D SU(N) Hubbard model
Evgeny Kozik
Feynman's diagrammatic series is a common language for a formally exact theoretical description of systems of infinitely-many interacting quantum particles, as well as a foundation…
Physical and unphysical regimes of self-consistent many-body perturbation theory
K. Van Houcke, E. Kozik, R. Rossi +2
In the standard framework of self-consistent many-body perturbation theory, the skeleton series for the self-energy is truncated at a finite order and plugged into th…