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The Anthony J Leggett Institute for Condensed Matter Physics Seminar: "Topological responses and de Haas-van Alphen effect of a Fermi surface from coajoint-orbit 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
Ljubica Milutinovic
E-Mail
ljubicam@illinois.edu
Phone
217-300-6393
Views
14
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.

 

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