Research Seminars @ Illinois

View Full Calendar

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.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

The Anthony J Leggett Institute for Condensed Matter Physics Seminar: "Quantum Oscillations from Bosonization"

Event Type
Seminar/Symposium
Sponsor
Physics Department
Location
ESB 190
Date
Nov 11, 2024   12:00 pm  
Speaker
Yuxuan Wang, University of Florida
Contact
Stephen Bullwinkel
E-Mail
bullwink@illinois.edu
Phone
217-333-1652
Views
92
Originating Calendar
Physics - The Anthony J Leggett Institute for Condensed Matter Theory Seminar

We present a bosonized effective field theory for a 2d Fermi surface in a weak magnetic field using the coadjoint orbit approach, which was recently developed as a nonlinear bosonization method in phase space for Fermi liquids and non-Fermi liquids. By using techniques in noncommutative field theory, the resulting theory describes $N_{\Phi}$ flavors of free chiral bosons propagating in momentum space, consistent with a Chern-Simons response theory in phase space and its associated LU(1) ’t Hooft anomaly. In addition, the action contains a linear term in the bosonic field, which upon mode expansion becomes a topological $\theta$-term. By properly quantizing this theory, we obtain thermal and magnetic responses of a Fermi surface, including linear-in-$T$ specific heat, Landau diamagnetism, and the de Haas-van Alphen effect. In particular, the de Haas-van Alphen effect, an essential singularity in response to an external field $B$, is shown to be a direct consequence of the topological $\theta$-term.

 

link for robots only