Pis’ma v ZhETF, vol. 105, iss. 5, pp. 282 – 283 2017 March 10 c Chiral vortical effect generated by chiral anomaly in vortex-skyrmions G.E.Volovik1) Low Temperature Laboratory, Aalto University, School of Science and Technology, P.O. Box 15100, FI-00076 AALTO, Finland Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia Submitted 12 January 2017 DOI: 10.7868/S0370274X1705006X The problems with Weyl materials –Weyl semimetals and Weyl superconductors (see latest reviews in Ref. [1] and Ref. [2] correspondingly) – is that at first glance they should possess any type of a bulk response that exists in conventional non-Weyl materials with the same symmetry [3, 4]. <...> The task is to resolve the contribution of theWeyl physics fromthat based on symmetry consideration. <...> Here we consider the situation when the effect is fully determined by chiral anomaly. <...> This is the chiral vortical effect (CVE) – the type of the parity violating effects [5–7] when there is the current along the vortex axis concentrated in the vortex core. <...> We consider the vortex-skyrmion in Weyl superfluids – the continuous (non-singular) texture in Fig. 1. <...> Instead we use the trick, which has been used for the calculation of the angular momentum of the texture in chiral Weyl superfluids [9] (see also Refs. [10, 11]), and for calculation of different manifestations of the chiral magnetic effect (CME) [12]. <...> We calculate the current generated by deformation of the order parameter within the skyrmion, when it is deformed from the state obeying the space inversion P to the state with the violated space inversion symmetry. <...> In the initial state there is no current along the axis of the skyrmion, since it is forbidden by the P-symmetry. <...> If the texture has no dependence on the coordinate Fig. 1. (Color online) Right: Neel-type vortex skyrmion, which is symmetric under the combined symmetry PTOx,π, which forbids the current along the vortex axis, since Jz = PTOx,πJz = −Jz. <...> Left: Bloch-type skyrmion, which is symmetric under the combined symmetry TOx,π. <...> The broken P-symmetry allows the current along the vortex axis – the chiral vortical effect. <...> The main difference from the Neel and Bloch skyrmions <...>