17 citations · 46 across the 10 of their papers we have counts for
10 papers
Boundary-condition-assisted chiral-symmetry protection of the zeroth Landau level on a two-dimensional lattice
A. Donís Vela, C. W. J. Beenakker
The massless two-dimensional Dirac equation in a perpendicular magnetic field B supports a B-independent "zeroth Landau level", a dispersionless zero-energy-mode protected by chira…
Luttinger liquid tensor network: sine versus tangent dispersion of massless Dirac fermions
V. A. Zakharov, S. Polla, A. Donís Vela +4
To apply the powerful many-body techniques of tensor networks to massless Dirac fermions one wants to discretize the Hamiltonian and construct a matrix-product-operator (…
Dynamical simulation of the injection of vortices into a Majorana edge mode
I. M. Flór, A. Donís-Vela, C. W. J. Beenakker +1
The chiral edge modes of a topological superconductor can transport fermionic quasiparticles, with Abelian exchange statistics, but they can also transport non-Abelian anyons: Edge…
Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
C. W. J. Beenakker, A. Donis Vela, G. Lemut +2
I. Introduction II. Two-dimensional lattice fermions III. Methods to avoid fermion doubling (sine dispersion, sine plus cosine dispersion, staggered lattice dispersion, linear sawt…
Method to preserve the chiral-symmetry protection of the zeroth Landau level on a two-dimensional lattice
A. Donís Vela, G. Lemut, J. Tworzydło +1
The spectrum of massless Dirac fermions on the surface of a topological insulator in a perpendicular magnetic field contains a -independent "zeroth Landau level", protected…
Reflectionless Klein tunneling of Dirac fermions: Comparison of split-operator and staggered-lattice discretization of the Dirac equation
A. Donís Vela, G. Lemut, M. J. Pacholski +2
Massless Dirac fermions in an electric field propagate along the field lines without backscattering, due to the combination of spin-momentum locking and spin conservation. This phe…