State-of-the-art techniques for calculating spectral functions in models for correlated materials

Abstract

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important step in this method involves the calculation of response functions of a multiorbital impurity problem which is related to the original model. Recently there has been considerable progress in the development of techniques based on the density matrix renormalization group (DMRG) and related matrix product states (MPS) implying a substantial improvement to previous methods. In this article we review some of the standard algorithms and compare them to the newly developed techniques, showing examples for the particular case of the half-filled two-band Hubbard model.

8 pages, 4 figures, to be published in EPL Perspectives

References in corpus (32)

• The density-matrix renormalization group in the age of matrix product states
• Continuous-time Monte Carlo methods for quantum impurity models
• The numerical renormalization group method for quantum impurity systems
• The Kernel Polynomial Method
• TRIQS: A Toolbox for Research on Interacting Quantum Systems
• New Trends in Density Matrix Renormalization
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Energy resolution and discretization artefacts in the numerical renormalization group
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Advances on Tensor Network Theory: Symmetries, Fermions, Entanglement, and Holography
• Electronic Structure Calculation by First Principles for Strongly Correlated Electron Systems
• Truncated Configuration Interaction expansions as solvers for correlated quantum impurity models and dynamical mean field theory
• Solving nonequilibrium dynamical mean-field theory using matrix product states
• Chebyshev Matrix Product State Impurity Solver for the Dynamical Mean-Field Theory
• Chebyshev expansion for Impurity Models using Matrix Product States
• Spectral functions and time evolution from the Chebyshev recursion
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• Electron spectra close to a metal-to-insulator transition
• Spectral Densities from Dynamic Density-Matrix Renormalization
• Nonlocal correlations induced by Hund's coupling: a cluster DMFT study
• Emergent Collective Modes and Kinks in Electronic Dispersions
• Multi-orbital physics in Fermi liquids prone to magnetic order
• Block Lanczos density-matrix renormalization group method for general Anderson impurity models: Application to magnetic impurity problems in graphene
• Rotationally-invariant slave-bosons for Strongly Correlated Superconductors
• Theory of Core-Level Photoemission and the X-ray Edge Singularity Across the Mott Transition
• Mott transition in the Hubbard model away from particle-hole symmetry
• Interplay of spin-orbit and entropic effects in Cerium
• A fast impurity solver based on equations of motion and decoupling
• Thermodynamics of the $\alpha$-$\gamma$ transition in cerium studied by an LDA + Gutzwiller method
• Signatures of coherent electronic quasiparticles in the paramagnetic Mott insulator

Cited by in corpus (11)

• Time-Dependent Density Matrix Renormalization Group Algorithms for Nearly Exact Absorption and Fluorescence Spectra of Molecular Aggregates at Both Zero and Finite Temperature
• Mott Quantum Critical Points at finite doping
• Emergent low-energy bound states in the two-orbital Hubbard model
• Dynamical Mean-Field Theory of Strongly Correlated Electron Systems
• On the nature of the Mott transition in multiorbital systems
• Precise ground state of multi-orbital Mott systems via the variational discrete action theory
• Novel subbands in the doped two-orbital Kanamori-Hubbard model
• Hund bands in spectra of multiorbital systems
• Hund's metal regimes and orbital selective Mott transitions in three band systems
• Unconventional correlated metallic behavior due to interorbital Coulomb interaction
• Low-energy structure and topology of the two-band Hubbard-Kanamori model