The Lanczos Method

TL;DR: In this paper, the authors investigated the effect of charge transfer energy on the superconductivity of the ground-state character of doped superconducting nickelates and showed that smaller charge-transfer energy is able to drive a change in the ground state character when realistic values for nickel-oxygen repulsion are taken into account.

TL;DR: The DFT++ framework as mentioned in this paper is a general scheme to combine realistic density functional theory calculations with model Hamiltonian approaches to produce a unified ab initio description of the properties of systems containing strongly correlated electrons.

TL;DR: In this paper, a hybridization-expansion continuous-time quantum Monte Carlo impurity solver (Krylov approach) was used to study orbital and spin ordering phenomena in strongly correlated systems within the local-density approximation plus dynamical mean-field theory approach.

TL;DR: In this paper, a variational approach which approximates models with long-range interactions by models with only local interactions is introduced, which is a proposition to an unambiguous solution of the so-called bathdiscretization problem in exact diagonalization approaches to the Anderson impurity model.

TL;DR: In this paper, the authors investigated the effect of charge transfer energy on the superconductivity of the ground-state character of doped superconducting nickelates and showed that smaller charge-transfer energy is able to drive a change in the ground state character when realistic values for nickel-oxygen repulsion are taken into account.

TL;DR: The DFT++ framework as mentioned in this paper is a general scheme to combine realistic density functional theory calculations with model Hamiltonian approaches to produce a unified ab initio description of the properties of systems containing strongly correlated electrons.

TL;DR: In this paper, the spin-orbit entanglement in a Mott insulator was investigated in terms of the value of the spinorbit coupling of the relativistic origin, and the authors numerically diagonalized a one-dimensional spin-orbital model with Kugel-Khomskii exchange interactions between spins and orbitals.

TL;DR: This work generalizes an augmented rounding error result that was proven for the symmetric Lanczos process to the two-sided (usually unsymmetric) Lanczo process for tridiagonalizing a square matrix to provide tools for the analysis of inexact and related methods.