Geometry-independent tight-binding method for massless Dirac fermions in two dimensions

A Ziesen, IC Fulga, F Hassler - Physical Review B, 2023 - APS
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 …

[HTML][HTML] Bilayer graphene in periodic and quasiperiodic magnetic superlattices

DJ Fernández, O Pavón-Torres - The European Physical Journal Plus, 2024 - Springer
Starting from the effective Hamiltonian arising from the tight-binding model, we study the
behaviour of low-lying excitations for bilayer graphene placed in periodic external magnetic …

Dirac Equation with Space Contributions Embedded in a Quantum-Corrected Gravitational Field

M Baradaran, LM Nieto, S Zarrinkamar - arXiv preprint arXiv:2408.10598, 2024 - arxiv.org
The Dirac equation is considered with the recently proposed generalized gravitational
interaction (Kepler or Coulomb), which includes post-Newtonian (relativistic) and quantum …

Bilayer graphene in periodic and quasiperiodic magnetic superlattices

O Pavón-Torres - arXiv preprint arXiv:2404.19106, 2024 - arxiv.org
Starting from the effective Hamiltonian arising from the tight binding model, we study the
behaviour of low-lying excitations for bilayer graphene placed in periodic external magnetic …

Integrability of Dirac equations in static spherical space-times

R Cianci, S Vignolo, L Fabbri - The European Physical Journal Plus, 2024 - Springer
We consider the Dirac equations in static spherically-symmetric space-times, and we
present a type of spinor field whose structure allows the separation of elevation angle and …