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Condensed Matter Journal Club: "Breaking Luttinger's theorem in the Hubbard Model"

Event Type
Seminar/Symposium
Sponsor
Condensed Matter Journal Club
Location
222 Loomis
Date
Nov 15, 2022   1:00 pm  
Speaker
Ian Osborne
Contact
Jacopo Gliozzi
E-Mail
jglioz2@illinois.edu
Views
27
Originating Calendar
Physics - Condensed Matter Journal Club

The introduction of finite interactions to a band structure is often sufficient to render an exact solution intractable in the thermodynamic limit. Landau's Fermi liquid theory, however, shows that in cases where interactions are perturbative, the band structure continues to be an essential tool. An important result of Fermi liquid theory is Luttinger's theorem: the Fermi surface's volume is proportional to the particle number density. In this talk, we explore the what, where, why, and how of the phenomenon of Luttinger's theorem breaking, develop a general non-perturbative Luttinger's theorem, and apply it to the emblematic model of interactions in a lattice: the Fermi Hubbard model.

 

Note: This event will be held in-person

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