Methods to discretize the Hamiltonian of a topological insulator or topological
superconductor, without giving up on the topological protection of the massless excitations …

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 …

The Nielsen-Ninomiya theorem, dubbed “fermion doubling,” poses a problem for the naive
discretization of a single (massless) Dirac cone on a two-dimensional surface. The …

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 …

This review is devoted to the different techniques that have been developed to compute the
coherent transport properties of quantum nanoelectronic systems connected to electrodes …

The search for robust topological superconductivity and Majorana bound states continues,
exploring both one-dimensional (1D) systems such as semiconducting nanowires and two …

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 …

We investigate the transport properties of massive Dirac fermions subjected to uncorrelated
scalar potential disorder, and mass disorder. Using a finite difference method, the …

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) …

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 …