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20202025
most citedTangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling

17 citations · 46 across the 10 of their papers we have counts for

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Showing cond-mat.mes-hallShow all

9 papers · 1 filter

cond-mat.mes-hall2025

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…

cond-mat.mes-hall2023★ 1 cited

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…

cond-mat.mes-hall2023★ 17 cited

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…

cond-mat.mes-hall2022★ 3 cited

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…

cond-mat.mes-hall2022★ 4 cited

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…

cond-mat.mes-hall2022★ 8 cited

Massless Dirac fermions on a space-time lattice with a topologically protected Dirac cone

A. Donís Vela, M. J. Pacholski, G. Lemut +2

The symmetries that protect massless Dirac fermions from a gap opening may become ineffective if the Dirac equation is discretized in space and time, either because of scattering b…

cond-mat.mes-hall2021★ 5 cited

An atomic scale study of Si-doped AlAs by cross-sectional scanning tunneling microscopy and density functional theory

D. Tjeertes, A. Vela, T. J. F. Verstijnen +6

Silicon (Si) donors in GaAs have been the topic of extensive studies since Si is the most common and well understood n-type dopant in III-V semiconductor devices and substrates. Th…

cond-mat.mes-hall2021

Chirality inversion of Majorana edge modes in a Fu-Kane heterostructure

A. Donís Vela, G. Lemut, M. J. Pacholski +1

Fu and Kane have discovered that a topological insulator with induced s-wave superconductivity (gap , Fermi velocity , Fermi energy ) supports chiral Majorana mo…

cond-mat.mes-hall2020★ 4 cited

Magnetic breakdown spectrum of a Kramers-Weyl semimetal

G. Lemut, A. Donís Vela, M. J. Pacholski +2

We calculate the Landau levels of a Kramers-Weyl semimetal thin slab in a perpendicular magnetic field . The coupling of Fermi arcs on opposite surfaces broadens the Landau leve…