Nonthermal Fixed Points: Effective Weak Coupling for Strongly Correlated Systems Far from Equilibrium

Non Equilibrium Dynamics in Strongly Correlated Systems

Weak-coupling superconductivity in a strongly correlated iron pnictide

Iron-based superconductors have been found to exhibit an intimate interplay of orbital, spin, and lattice degrees of freedom, dramatically affecting their low-energy electronic properties, including superconductivity. Albeit the precise pairing mechanism remains unidentified, several candidate interactions have been suggested to mediate the superconducting pairing, both in the orbital and in th...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Strong Coupling Approach for Strongly Correlated Electron Systems

A perturbation theory scheme in terms of electron hopping which is based on the Wick’s theorem for Hubbard operators is developed. Diagrammatic series contain single-site vertices connected by hopping lines and it is shown that for each vertice the problem splits into the subspaces with “vacuum states” determined by the diagonal Hubbard operators and only excitations around these “vacuum states...

Coupling Extragradient Methods with Cq Methods for Equilibrium Points, Pseudomonotone Variational Inequalities and Fixed Points

In this paper, we suggest a hybrid method for finding a common element of the set of solution of an equilibrium problem, the set of solution of a pseudomonotone variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings. The constructed iterative method combines two well-known methods: extragradient method and CQ method. We derive a necessar...