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.

arXiv comment8 pages, 4 figures, to be published in EPL Perspectives

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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
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• 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