Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

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The Anthony J Leggett Institute for Condensed Matter Physics Seminar: Solving the Mott Problem

Event Type
Seminar/Symposium
Sponsor
Physics Department
Location
ESB 190
Virtual
wifi event
Date
Sep 9, 2024   12:00 pm  
Speaker
Philip Phillips, University of Illinois Urbana-Champaign
Contact
Ljubica Milutinovic
E-Mail
ljubicam@illinois.edu
Phone
217-300-6393
Views
23
Originating Calendar
Physics - The Anthony J Leggett Institute for Condensed Matter Theory Seminar

The Mott problem stands as a grand challenge largely because its solution is at the heart of high-temperature superconductivity in the cuprates.   It is unfortunate that such materials are largely 2-dimensional and the only exact solutions are restricted to d=1 with Bethe ansatz and infinite dimensions.

I will present  a method valid in any dimension that recovers the Bethe ansatz results  in $d=1$ and the $d=\infty$ solutions as well.  At the heart of the method is the breaking of an overlooked $Z_2$ symmetry of Fermi liquids .  I will present benchmarks for the method in d=1 and  compare with "accepted'' results in d=2, where no exact results are known.  

 

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