Topological and trivial magnetic oscillations in nodal loop semimetals

Oroszlány, László and Dóra, Balázs and Cserti, József and Cortijo, Alberto (2018) Topological and trivial magnetic oscillations in nodal loop semimetals. PHYSICAL REVIEW B, 97 (20). pp. 1-5. ISSN 2469-9950

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Abstract

Nodal loop semimetals are close descendants of Weyl semimetals and possess a topologically dressed band structure. We argue by combining the conventional theory ofmagnetic oscillation with topological arguments that nodal loop semimetals host coexisting topological and trivial magnetic oscillations. These originate frommapping the topological properties of the extremal Fermi surface cross sections onto the physics of two dimensional semi-Dirac systems, stemming from merging two massless Dirac cones. By tuning the chemical potential and the direction of magnetic field, a sharp transition is identified from purely trivial oscillations, arising from the Landau levels of a normal two dimensional (2D) electron gas, to a phase where oscillations of topological and trivial origin coexist, originating from 2D massless Dirac and semi-Dirac points, respectively. These could in principle be directly identified in current experiments.

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