Starting from the zero modes of the Dirac-Weyl equation for Landau levels in the symmetric gauge, wepropose a novel mechanism to construct the eigenvalues and its eigenfunctions. We show that theproblem may be addressed ...

In this paper we study the zero energy solutions of the Dirac equation in the background of a Z2 vortex of a non-Abelian gauge model with three charged scalar fields. We determine the number of the fermionic zero modes ...

We characterize the confinement of massless Dirac electrons under axially symmetric magnetic fields in graphene, including zero energy modes and higher energy levels. In particular, we analyze in detail the Aharonov-Casher ...

We study the low-energy transport properties of a hybrid device composed by a native quantum dot coupled to both ends of a topological superconducting nanowire section hosting Majorana zero modes. The account of the coupling ...

We study the influence of a perpendicular magnetic field with the asymptotics B(r → ∞) = B0 in an electrons in graphene. It is shown that the zero-energy solutions can exist only for one pseudospin direction, depending on ...

Unruh's mixed state of a field with a zero-frequency mode, which purportedly contributes an arbitrarily large entropy for a given energy, is actually a mixture of pure states belonging to different systems, since the mean ...

We describe the Majorana zero modes in topological hybrid superconductor-semiconductor wires with spin-orbit coupling and magnetic field, in terms of generalized Bloch coordinates φ , θ , δ . When the spin-orbit coupling ...