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
- Join online
- Date
- Sep 9, 2024 12:00 pm
- Speaker
- Philip Phillips, University of Illinois Urbana-Champaign
- Contact
- Ljubica Milutinovic
- ljubicam@illinois.edu
- Phone
- 217-300-6393
- Views
- 164
- 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.