Weyl fermions in cylindrical wires
arXiv:1801.07192 · doi:10.1103/PhysRevB.97.035429
Abstract
The key feature of Weyl semimetals (WSM) is the presence of topologically protected Dirac cones in a 3D material. We consider the effect of restricting geometry on the spectrum of excitations in WSM using as a model a cylindrical WSM wire. For the full manifold of hard boundary conditions, we derive the general form of the dispersion equation relating the energy of the excitations and their momentum along the wire. We show that only the special class of boundary conditions, corresponding to decoupled helicities or, equivalently, to pinned directions of the electron spin on the surface, support massless excitations. For a general boundary condition, these excitations acquire mass inversely proportional to the radius of the wire. This demonstrates that boundary phenomena may play a crucial role in formation of excitations in WSM based structures.
References in corpus (10)
- Chiral tunneling and the Klein paradox in graphene
- Weyl semimetals from noncentrosymmetric topological insulators
- Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
- Strain induced Chiral Magnetic Effect in Weyl semimetals
- Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
- On electrodynamics of chiral matter
- Semiclassical theory of potential scattering for massless Dirac fermions
- Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
- Surface States of a System of Dirac Fermions: A Minimal Model
- Fermi arcs formation in Weyl semimetals: the key role of intervalley interaction