Why Calculate in Infinite Dimensions?
Dieter Vollhardt
TL;DR
This paper introduces the concept of solving many-body models in infinite dimensions, focusing on the Hubbard model and dynamical mean-field theory to analyze correlated electron systems.
Contribution
It provides a pedagogical overview of infinite-dimensional solutions and details the derivation of dynamical mean-field theory for the Hubbard model.
Findings
Solution of the Hubbard model in infinite dimensions
Application of dynamical mean-field theory to correlated electrons
Insights into properties of models and materials
Abstract
A pedagogical introduction to solving classical and quantum many-body models in infinite spatial dimensions is given. The solution of the Hubbard model obtained in this limit is discussed in detail. It corresponds to a dynamical mean-field theory, which allows to compute the properties of correlated electrons in models and materials.
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Taxonomy
TopicsAdvanced Physical and Chemical Molecular Interactions · Advanced Chemical Physics Studies · Surface and Thin Film Phenomena