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Weyl states and Fermi arcs in parabolic bands

2017/07/01 by Mauro M. Doria, Andrea Perali · 6 citations
Physics and Astronomy · #Brillouin zone #Coupling (piping) #Fermi Gamma-ray Space Telescope #Fermi energy #Fermi surface #Fermion #Helicity #Kinetic energy #Magnetic field #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #Topological Materials and Phenomena #cond-mat.supr-con

paper · pdf · doi:10.1209/0295-5075/119/21001

published in Europhysics Letters (EPL) 119(2), 21001 (Institute of Physics)

openalex publication_date 2017/07/01 · arxiv created 2017/08/18 · openalex created_date 2017/08/31 · arxiv updated 2017/10/11 · openalex updated_date 2026/08/06

Abstract

Weyl fermions are shown to exist inside a parabolic band in a single electronic layer, where the kinetic energy of carriers is given by the non-relativistic Schroedinger equation. There are Fermi arcs as a direct consequence of the folding of a ring-shaped Fermi surface inside the first Brillouin zone. Our results stem from the decomposition of the kinetic energy into the sum of the square of the Weyl state, the coupling to the local magnetic field and the Rashba interaction. The Weyl fermions break the space and time reflection symmetries present in the kinetic energy, thus allowing for the onset of a weak three-dimensional magnetic field around the layer. This field brings topological stability to the current-carrying states through a Chern number. In the special limit for which the Weyl state becomes gapless, this magnetic interaction is shown to be purely attractive, thus suggesting the onset of a superconducting condensate of zero helicity states.

Citations