Scattering theory of the chiral magnetic effect in a Weyl semimetal:
Interplay of bulk Weyl cones and surface Fermi arcs
release_rev_701891ee-0bc8-426a-9e20-19b674e7e659
by
P. Baireuther, J. A. Hutasoit, J. Tworzydło, C. W. J. Beenakker
2016
Abstract
We formulate a linear response theory of the chiral magnetic effect in a
finite Weyl semimetal, expressing the electrical current density j induced by
a slowly oscillating magnetic field B or chiral chemical potential μ in
terms of the scattering matrix of Weyl fermions at the Fermi level. Surface
conduction can be neglected in the infinite-system limit for δ j/δμ, but not for δ j/δ B: The chirally circulating surface Fermi
arcs give a comparable contribution to the bulk Weyl cones no matter how large
the system is, because their smaller number is compensated by an increased flux
sensitivity. The Fermi arc contribution to μ^-1δ j/δ B has the
universal value (e/h)^2, protected by chirality against impurity scattering
--- unlike the bulk contribution of opposite sign.
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1512.02144v3
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