Quantum Encounters Seminar -- Quantum Information, Condensed Matter, Quantum Field Theory
# Emergent Symmetries and Anomalies in Metals: Luttinger's Theorem and Beyond

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Europe/Paris

Zoom Réunion
### Zoom Réunion

Description

Metals are an interesting class of gapless quantum many-body systems. Many metals are described by the famous "Fermi liquid theory" at low temperatures, but there are also many metallic materials for which Fermi liquid theory is an inadequate description. In this talk, I will argue that a productive way to think about certain properties of metals, beyond Fermi liquid theory, is in the language of emergent symmetries and anomalies, thus importing ideas originally developed in the context of gapped topological phases of matter and their boundaries. From this point of view, I will show how to derive a vast generalization of Luttinger's theorem, the result that relates the volume enclosed by the Fermi surface of a Fermi liquid to the microscopic charge density. From this one can derive a number of consequences, including strong constraints on the emergent symmetry group of compressible metals. I also discuss implications for electrical resistivity.

Participer à la réunion Zoom

https://us02web.zoom.us/j/85119690238?pwd=MC96eVpLZTN6aXhCdHZpTVJYSzFTZz09

ID de réunion : 851 1969 0238

Code secret : 529628

Organized by

Vasily Pestun & Slava Rychkov

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