An introduction to quantum cluster methods
David S\'en\'echal
TL;DR
This paper introduces quantum cluster methods like CPT, VCA, and CDMFT for studying strongly correlated systems, detailing their theoretical foundations, numerical procedures, and applications.
Contribution
It provides a comprehensive overview of quantum cluster methods, including formalism, numerical techniques, and their implementation for strongly correlated electron systems.
Findings
Detailed explanation of CPT, VCA, and CDMFT methods
Discussion of exact diagonalization and frequency-momentum integrals
Review of Potthoff's self-energy functional formalism
Abstract
These lecture notes provide an introduction to quantum cluster methods for strongly correlated systems. Cluster Perturbation Theory (CPT), the Variational Cluster Approximation (VCA) and Cellular Dynamical Mean Field Theory (CDMFT) are described, as well as the exact diagonalization solver for the cluster. Potthoff's self-energy functional formalism is reviewed. Some numerical procedures, in particular regarding the exact diagonalization method and the frequency-momentum integrals needed in VCA, are discussed in detail.
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Taxonomy
TopicsForecasting Techniques and Applications