Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session Y59: Dirac and Weyl Semimetals: Theory I
8:00 AM–10:48 AM,
Friday, March 18, 2022
Room: Hyatt Regency Hotel -DuSable AB
Sponsoring
Unit:
DCMP
Chair: Angkun Wu, Rutgers University
Abstract: Y59.00008 : Emergent anomalies and generalized Luttinger theorems in metals and semimetals*
9:24 AM–9:36 AM
Presenter:
Chong Wang
(Perimeter Institute for Theoretical Physics)
Authors:
Anton Burkov
(University of Waterloo)
Chong Wang
(Perimeter Institute for Theoretical Physics)
Alexander Hickey
(University of Waterloo)
Xuzhe Ying
(University of Waterloo)
to the volume enclosed by its Fermi surface, which defines its low-energy observable properties. Such statements are valuable since, in general, deducing a low-energy description from microscopics, which may perhaps be regarded as the main problem of condensed matter theory, is far from easy. In this paper we present a unified framework, which allows one to discuss Luttinger theorems for ordinary metals, as well as closely analogous exact statements for topological (semi)metals, whose low-energy description contains either discrete point or continuous line nodes. This framework is based on the 't Hooft anomaly of the emergent charge conservation symmetry at each point on the Fermi surface, a concept recently proposed by Else, Thorngren and Senthil. We find that the Fermi surface codimension p plays a crucial role for the emergent anomaly. For odd $p$, such as ordinary metals (p=1) and magnetic Weyl semimetals (p=3), the emergent symmetry has a generalized chiral anomaly. For even p, such as graphene and nodal line semimetals (both with p=2), the emergent symmetry has a generalized parity anomaly. When restricted to microscopic symmetries, such as U(1) and lattice symmetries, the emergent anomalies imply (generalized) Luttinger theorems, relating Fermi surface volume to various topological responses. The corresponding topological responses are the charge density for p=1, Hall conductivity for p=3, and polarization for p=2. As a by-product of our results, we clarify exactly what is anomalous about the surface states of nodal line semimetals.
*Anton Burkov was supported by Center for Advancement of Topological Semimetals, an Energy Frontier Research Center funded by the U.S. Department of Energy Office of Science, Office of Basic Energy Sciences, through the Ames Laboratory under contract DE-AC02-07CH11358.
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700