Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session N30: Strongly Correlated Systems, Including Quantum Fluids and Solids XII
11:30 AM–2:06 PM,
Wednesday, March 8, 2023
Room: Room 222/223
Sponsoring
Unit:
DCMP
Chair: Brenden Ortiz, University of California, Santa Barbara
Abstract: N30.00002 : Gapped and gapless topological order in interacting Weyl semimetals*
11:42 AM–11:54 AM
Presenter:
Anton Burkov
(University of Waterloo)
Authors:
Anton Burkov
(University of Waterloo)
Xuzhe Ying
(University of Waterloo)
Lei Gioia
(Perimeter Inst for Theo Phys)
Chong Wang
(Perimeter Institute for Theoretical Physics)
the charge conservation and translational symmetries, which all protect the gapless nodes in a weakly interacting semimetal. The resulting state was shown to be a nontrivial generalization of a nonabelian fractional quantum Hall liquid to three dimensions. Here we point out that a second distinct fractional quantum Hall state exists in this case. This state has exactly the same electrical and thermal Hall responses as the first (and as the noninteracting Weyl semimetal), but a distinct (fracton) topological order. Moreover, the existence of this second fractional quantum Hall state necessarily implies a gapless phase, which has identical topological response to a noninteracting Weyl semimetal, but is distinct from it. This may be viewed as a generalization of the known duality between a noninteracting two-dimensional Dirac fermion and QED$_3$ to $(3+1)$ dimensions.
*We acknowledge support from the Natural Sciences and Engineering Research Council (NSERC) of Canada.AAB was also 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. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Economic Development, Job Creation and Trade.
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