Density-matrix renormalization group methods for momentum- and frequency-resolved dynamical correlation functions

TL;DR

This paper reviews advanced density-matrix renormalization group methods for calculating momentum- and frequency-resolved dynamical correlations in low-dimensional strongly correlated systems, highlighting their applications in various quasi-one-dimensional models.

Contribution

It provides a comprehensive overview of the most relevant DMRG approaches for dynamical correlations and discusses their application to different strongly correlated systems.

Findings

Effective methods for dynamical correlation functions are identified.

Applications to spin chains, electron systems, and electron-phonon systems demonstrate versatility.

The review highlights the progress and challenges in the field.

Abstract

Several density-matrix renormalization group methods have been proposed to compute the momentum- and frequency-resolved dynamical correlation functions of low-dimensional strongly correlated systems. The most relevant approaches are discussed in this contribution. Their applications in various studies of quasi-one-dimensional strongly correlated systems (spin chains, itinerant electron systems, electron-phonon systems) are reviewed.