TY - JOUR

T1 - Infinite Berry Curvature of Weyl Fermi Arcs

AU - Wawrzik, Dennis

AU - You, Jhih Shih

AU - Facio, Jorge I.

AU - Van Den Brink, Jeroen

AU - Sodemann, Inti

N1 - Funding Information:
We thank Ion Cosma Fulga for insightful discussions and Ulrike Nitzsche for technical assistance. J. I. F. acknowledges support from the Alexander von Humboldt Foundation and D. W. thanks the IFW excellence program. J. v. d. B. acknowledges financial support from the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG) via SFB 1143 Project No. A5 and under Germany’s Excellence Strategy through the Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter ct.qmat (EXC 2147, Project No. 390858490). J.-S. Y. is supported by the Ministry of Science and Technology, Taiwan (Grant No. MOST 110-2112-M-003-008-MY3) and National Center for Theoretical Sciences in Taiwan.
Publisher Copyright:
© 2021 American Physical Society.

PY - 2021/7/30

Y1 - 2021/7/30

N2 - We show that Weyl Fermi arcs are generically accompanied by a divergence of the surface Berry curvature scaling as 1/k2, where k is the distance to a hot line in the surface Brillouin zone that connects the projection of Weyl nodes with opposite chirality, but which is distinct from the Fermi arc itself. Such surface Berry curvature appears whenever the bulk Weyl dispersion has a velocity tilt toward the surface of interest. This divergence is reflected in a variety of Berry curvature mediated effects that are readily accessible experimentally and, in particular, leads to a surface Berry curvature dipole that grows linearly with the thickness of a slab of a Weyl semimetal material in the limit of the long lifetime of surface states. This implies the emergence of a gigantic contribution to the nonlinear Hall effect in such devices.

AB - We show that Weyl Fermi arcs are generically accompanied by a divergence of the surface Berry curvature scaling as 1/k2, where k is the distance to a hot line in the surface Brillouin zone that connects the projection of Weyl nodes with opposite chirality, but which is distinct from the Fermi arc itself. Such surface Berry curvature appears whenever the bulk Weyl dispersion has a velocity tilt toward the surface of interest. This divergence is reflected in a variety of Berry curvature mediated effects that are readily accessible experimentally and, in particular, leads to a surface Berry curvature dipole that grows linearly with the thickness of a slab of a Weyl semimetal material in the limit of the long lifetime of surface states. This implies the emergence of a gigantic contribution to the nonlinear Hall effect in such devices.

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U2 - 10.1103/PhysRevLett.127.056601

DO - 10.1103/PhysRevLett.127.056601

M3 - Article

C2 - 34397225

AN - SCOPUS:85112628182

VL - 127

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 5

M1 - 056601

ER -