Landau Levels, Bardeen Polynomials, and Fermi Arcs in Weyl Semimetals: Lattice-Based Approach to the Chiral Anomaly

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dc.contributor.ORCID0000-0001-5628-3300 (Kolodrubetz, M)
dc.contributor.authorBehrends, J.
dc.contributor.authorRoy, S.
dc.contributor.authorKolodrubetz, Michael H.
dc.contributor.authorBardarson, J. H.
dc.contributor.authorGrushin, A. G.
dc.contributor.utdAuthorKolodrubetz, Michael H.
dc.date.accessioned2019-10-31T15:23:27Z
dc.date.available2019-10-31T15:23:27Z
dc.date.created2019-04-01
dc.description.abstractCondensed matter systems realizing Weyl fermions exhibit striking phenomenology derived from their topologically protected surface states as well as chiral anomalies induced by electromagnetic fields. More recently, inhomogeneous strain or magnetization were predicted to result in chiral electric E₅ and magnetic B₅ fields, which modify and enrich the chiral anomaly with additional terms. In this Rapid Communication, we develop a lattice-based approach to describe the chiral anomaly, which involves Landau and pseudo-Landau levels and treats all anomalous terms on equal footing, while naturally incorporating Fermi arcs. We exemplify its potential by physically interpreting the largely overlooked role of Fermi arcs in the covariant (Fermi level) contribution to the anomaly and revisiting the factor of 1/3 difference between the covariant and consistent (complete band) contributions to the E₅·B₅ term in the anomaly. Our framework provides a versatile tool for the analysis of anomalies in realistic lattice models as well as a source of simple physical intuition for understanding strained and magnetized inhomogeneous Weyl semimetals. ©2019 American Physical Society.
dc.description.departmentSchool of Natural Sciences and Mathematics
dc.identifier.bibliographicCitationBehrends, J., S. Roy, M. H. Kolodrubetz, J. H. Bardarson, et al. 2019. "Landau levels, Bardeen polynomials, and Fermi arcs in Weyl semimetals: Lattice-based approach to the chiral anomaly." Physical Review B 99(14): art. 140241, doi: 10.1103/PhysRevB.99.140201
dc.identifier.issn2469-9950
dc.identifier.issue14
dc.identifier.urihttps://hdl.handle.net/10735.1/7067
dc.identifier.volume99
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relation.urihttps://dx.doi.org/10.1103/PhysRevB.99.140201
dc.rights©2019 American Physical Society
dc.source.journalPhysical Review B
dc.subjectWeyl groups
dc.subjectParticles (Nuclear physics)—Chirality
dc.subjectElectromagnetic fields
dc.subjectLandau levels
dc.subjectLattice ordered groups
dc.subjectPolynomials, Bardeen
dc.titleLandau Levels, Bardeen Polynomials, and Fermi Arcs in Weyl Semimetals: Lattice-Based Approach to the Chiral Anomaly
dc.title.alternativePhysical Review B
dc.type.genrearticle

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