Renormalization in Condensed Matter: Fermionic Systems - from Mathematics to Materials
Manfred Salmhofer
TL;DR
This paper reviews the role of renormalization in analyzing correlated-fermion systems in condensed matter physics, covering mathematical results and applications to material models, phase prediction, and quantum criticality.
Contribution
It provides a comprehensive overview connecting mathematical theorems with practical models in materials science involving fermionic systems.
Findings
Mathematical theorems on correlated-fermion systems
Applications to predicting equilibrium phases
Insights into quantum criticality
Abstract
Renormalization plays an important role in the theoretically and mathematically careful analysis of models in condensed-matter physics. I review selected results about correlated-fermion systems, ranging from mathematical theorems to applications in models relevant for materials science, such as the prediction of equilibrium phases of systems with competing ordering tendencies, and quantum criticality.
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