Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields

Ö Yeşiltaş, J Furtado - International Journal of Modern Physics A, 2022 - World Scientific
The Dirac equation in (2+ 1) dimensions on the toroidal surface is studied for a massless
fermion particle under the action of external fields. Using the covariant approach based on …

Graphene: an exotic condensed matter and its impact on technology

BK Sharma - Emerging Materials Research, 2020 - icevirtuallibrary.com
Graphene is a (2+ 1)-dimensional quantum electrodynamic system. The carriers have a
vanishing mass and a relativistic velocity of 106 m/s, obeying charge-conjugate parity time …

Chern-Simons Gauge Invariance and Boundary Conformal Fields

K Abhinav, SK Paul - arXiv preprint arXiv:1705.01463, 2017 - arxiv.org
The topological non-Abelian Chern-Simons theory with a boundary is shown to require a
scalar field companion in order to preserve overall gauge-invariance both in the 3 …

Efimov-like Resonances in Planar QED

K Abhinav, PK Panigrahi - arXiv preprint arXiv:1612.04245, 2016 - arxiv.org
It is shown that planar topological effective gauge theory with dynamics, acquires corrections
to angular momentum beyond the well-known topological photon spin, the latter arising from …

The bound states of the massless Dirac equation on the torus

Ö Yeşiltaş - arXiv preprint arXiv:1611.06555, 2016 - arxiv.org
The Dirac equation on the toroidal surface is studied. The non-constant Fermi velocity
functions are used in the Dirac Hamiltonian to get trigonometric Scarf and Rosen-Morse …