Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling

CWJ Beenakker, A Donís Vela, G Lemut… - Annalen der …, 2023 - Wiley Online Library
Methods to discretize the Hamiltonian of a topological insulator or topological
superconductor, without giving up on the topological protection of the massless excitations …

Helical Luttinger liquid on a space-time lattice

VA Zakharov, J Tworzydło, CWJ Beenakker… - Physical Review Letters, 2024 - APS
The Luttinger model is a paradigm for the breakdown due to interactions of the Fermi liquid
description of one-dimensional massless Dirac fermions. Attempts to discretize the model on …

Topologically protected Casimir effect for lattice fermions

CWJ Beenakker - Physical Review Research, 2024 - APS
The electromagnetic Casimir effect has a fermionic counterpart in topological insulators:
Zero-point fluctuations of a massless Dirac fermion field mediate a force between magnetic …

Luttinger liquid tensor network: Sine versus tangent dispersion of massless Dirac fermions

VA Zakharov, S Polla, A Donís Vela, P Emonts… - Physical Review …, 2024 - APS
To apply the powerful many-body techniques of tensor networks to massless Dirac fermions,
one wants to discretize the p· σ Hamiltonian and construct a matrix-product-operator (MPO) …

Reflectionless Klein tunneling of Dirac fermions: comparison of split-operator and staggered-lattice discretization of the Dirac equation

AD Vela, G Lemut, MJ Pacholski… - Journal of Physics …, 2022 - iopscience.iop.org
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 …

[HTML][HTML] Method to preserve the chiral-symmetry protection of the zeroth Landau level on a two-dimensional lattice

AD Vela, G Lemut, J Tworzydło, CWJ Beenakker - Annals of Physics, 2023 - Elsevier
The spectrum of massless Dirac fermions on the surface of a topological insulator in a
perpendicular magnetic field B contains a B-independent “zeroth Landau level”, protected …

[PDF][PDF] ul 3

D Vela - from https://hdl. handle. net/1887 …, 2024 - scholarlypublications …
A fundamental concept in condensed matter physics is that the effective behavior of
electrons is strongly influenced by the medium in which they exist. An example of this is …

[PDF][PDF] Tangent fermions: massless fermions on a lattice

ÁD Vela - lorentz.leidenuniv.nl
A fundamental concept in condensed matter physics is that the effective behavior of
electrons is strongly influenced by the medium in which they exist. An example of this is …