Disordered Weyl semimetals as coupled Hubbard chains.
ORAL
Abstract
We demonstrate that disordered magnetic Weyl semimetal may be mapped onto a two-dimensional array of coupled Hubbard chains, where the Hubbard U is directly related to the strength of the disorder potential. This is a generalization of an analogous mapping of the two-dimensional quantum Hall plateau transition to a one-dimensional Hubbard chain. We discuss some of the implications of this mapping, in particular for the existence of the semimetal to diffusive metal transition with increasing disorder strength, and for magnetotransport phenomena.
*This research was supported by the 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 No. DE-AC02-07CH11358. We also ackowledge support from the Natural Sciences and Engineering Research Council (NSERC) of Canada. 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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Presenters
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Jinmin Yi
- Perimeter Institute
- Perimeter Inst for Theo Phys