Liouvillian interpolation of the self-energy of cluster dynamical mean-field theories

arXiv:2602.16351 · cond-mat.str-el · Submitted 2026-02-18 · Read on arXiv

cond-mat.str-el

Submitted: 2026-02-18

Updated: 2026-10-09

Terminology

• Hubbard Model — 33× in this paper · explained in 3 episodes
• Benchmark — 8× in this paper · explained in 2 episodes
• Consistency — 4× in this paper · explained in 3 episodes
• Self-consistency — 4× in this paper · explained in 2 episodes
• Frequency Dependence — 3× in this paper · explained in 2 episodes
• Regularization — 3× in this paper · explained in 3 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Dynamical Mean Field Theory (DMFT) — 2× in this paper · explained in 2 episodes
• Alloy — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Antiferromagnetism — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 4 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Metallicity — 1× in this paper · explained in 3 episodes
• Phase Transition — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Extended Recursion in Operator Space (EROS), a new impurity solver for the single impurity Anderson model
• Liouvillian recursion method for the electronic Green's function
• Approximation theory for Green's functions via the Lanczos algorithm
• Tangent space Krylov computation of real-frequency spectral functions: Influence of density-assisted hopping on 2D Mott physics
• The Analytic Theory of Matrix Orthogonal Polynomials
• Reply to comment on "Controlled bond expansion for Density Matrix Renormalization Group ground state search at single-site costs"

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