Self-energy-functional approach to systems of correlated electrons

Abstract

The grand potential of a system of interacting electrons is considered as a stationary point of a self-energy functional. It is shown that a rigorous evaluation of the functional is possible for self-energies that are representable within a certain reference system. The variational scheme allows to construct new non-perturbative and thermodynamically consistent approximations. Numerical results illustrate the practicability of the method.

8 pages, 5 figures

Cited by in corpus (232)

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• Time-dependent Mott transition in the periodic Anderson model with nonlocal hybridization
• Recursive relations and quantum eigensolver algorithms within modified Schrieffer--Wolff transformations for the Hubbard dimer
• Polaritonic properties of the Jaynes-Cummings lattice model in two dimensions
• Mott Transitions and Staggered Orders in the Three-component Fermionic System: Variational Cluster Approach
• Matrix-product-state-based band-Lanczos solver for quantum cluster approaches
• Self-energy functional theory with symmetry breaking for disordered lattice bosons
• Effect of short-range correlations on spectral properties of doped Mott insulators
• Spontaneous loop-spin current with topological characters in the Hubbard model
• $d$-wave superconductivity in coupled ladders
• A versatile unitary transformation framework for an optimal bath construction in density-matrix based quantum embedding approaches
• Quantum Algorithm for Green's Functions Measurements in the Fermi-Hubbard Model
• A functional-analysis derivation of the parquet equation
• $d$-wave Superconductivity in the Hubbard model on the isotropic triangular lattice and a possibility of the chiral $d+id$ pairing as a quasi-stable state
• Zero-temperature Phase Diagram of Two Dimensional Hubbard Model
• Origin of misleading convergence in self-consistent many-electron theories: Fundamental aspects and practical implications
• Non-equilibrium variational cluster perturbation theory: quench dynamics of the quantum Ising model
• Reentrance of metal-insulator transition and magnetic competitions on a triangular lattice with second nearest-neighbor hopping
• Spiral magnetism and chiral superconductivity in Kondo-Hubbard triangular lattice model
• Thermodynamic properties of two-component fermionic atoms trapped in a two-dimensional optical lattice
• Rientrant metallicity in the Hubbard model: the case of honeycomb nanoribbons
• Formation of clusters in the two dimensional t-J model: The mechanism for phase separation
• Three-body losses of repulsively interacting three-component fermionic atoms in optical lattices
• Enforcing conservation laws in nonequilibrium cluster perturbation theory
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO
• Non-perturbative effects of short-range spatial correlations at the two-particle level