Dresden 2017 – scientific programme
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MA: Fachverband Magnetismus
MA 19: Transport: Topological Semimetals 1 (jointly with DS, MA, HL, O)
MA 19.2: Talk
Tuesday, March 21, 2017, 09:45–10:00, HSZ 201
Universality and stability of the edge states of chiral nodal topological semimetals; Luttinger model for j=3/2 electrons as a 3D topological semimetal — •Maxim Kharitonov, Julian-Benedikt Mayer, and Ewelina Hankiewicz — Institute for Theoretical Physics and Astrophysics, Wuerzburg University
We theoretically demonstrate that the chiral structure of the nodes of nodal semimetals is responsible for the existence and universal local properties of the edge states in the vicinity of the nodes. We perform a general analysis of the edge states for an isolated node of a 2D semimetal, protected by chiral symmetry and characterized by the topological winding number N. We derive the asymptotic chiral-symmetric boundary conditions and find that there are N+1 universal classes of them. The class determines the numbers of flat-band edge states on either side off the node in the 1D edge spectrum and the winding number N gives the total number of edge states. We then show that the edge states of chiral nodal semimetals are robust: they persist in a finite-size stability region of parameters of chiral-asymmetric terms. This significantly extends the notion of 2D and 3D topological nodal semimetals. We demonstrate that the Luttinger model with a quadratic node for j=3/2 electrons is a 3D topological semimetal in this new sense and predict that α-Sn, HgTe, and possibly Pr2Ir2O7, as well as many other semimetals described by it are topological and exhibit surface states.