The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons

S Bellucci, I Brevik, AA Saharian… - The European Physical …, 2020 - Springer
We investigate the combined effects of boundaries and topology on the vacuum expectation
values (VEVs) of the charge and current densities for a massive 2D fermionic field confined …

Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background

YA Sitenko, VM Gorkavenko, MS Tsarenkova - Physical Review D, 2022 - APS
The relativistic spin-0 matter field is quantized in the background of a straight cosmic string
with nonvanishing transverse size. The most general boundary condition ensuring the …

Dependence of the induced vacuum energy of scalar matter in the background of an impenetrable magnetic tube on the coupling to the space-time curvature

VM Gorkavenko, AO Zaporozhchenko… - arXiv preprint arXiv …, 2024 - arxiv.org
We considered the vacuum polarization of a quantized charged scalar matter field in the
background of a finite-thickness tube with magnetic flux inside. The tube is impenetrable for …

Induced vacuum magnetic flux in quantum spinor matter in the background of a topological defect in two-dimensional space

YA Sitenko, VM Gorkavenko - Physical Review D, 2019 - APS
A topological defect in the form of the Abrikosov-Nielsen-Olesen vortex is considered as a
gauge-flux-carrying tube that is impenetrable for quantum matter. The relativistic spinor …

Induced vacuum current and magnetic flux in quantum scalar matter in the background of a vortex defect with the Neumann boundary condition

VM Gorkavenko, TV Gorkavenko, YA Sitenko… - arXiv preprint arXiv …, 2022 - arxiv.org
A topological defect in the form of the Abrikosov-Nielsen-Olesen vortex in a space of
arbitrary dimension is considered as a gauge-flux-carrying tube that is impenetrable for …

Induced vacuum magnetic field in the cosmic string background

YA Sitenko - Physical Review D, 2021 - APS
The relativistic charged spinor matter field is quantized in the background of a straight
cosmic string with nonvanishing transverse size. The most general boundary conditions …

Casimir effect for fermion condensate in conical rings

A Saharian, T Petrosyan, A Hovhannisyan - Universe, 2021 - mdpi.com
The fermion condensate (FC) is investigated for a (2+ 1)-dimensional massive fermionic field
confined on a truncated cone with an arbitrary planar angle deficit and threaded by a …

Induced Vacuum energy density of quantum charged scalar matter in the background of an impenetrable magnetic tube with the Neumann boundary condition

VM Gorkavenko, TV Gorkavenko, YA Sitenko… - arXiv preprint arXiv …, 2022 - arxiv.org
We consider vacuum polarization of charged scalar matter field outside the tube with
magnetic flux inside. The tube is impenetrable for quantum matter and the perfectly rigid …

Fermionic Condensate on Finite Radius Cones.

AA Hovhannisyan - Armenian Journal of Physics, 2021 - search.ebscohost.com
The fermionic condensate is investigated for a field localized on a finite radius 2-
dimensional cone in the presence of a magnetic flux threading the cone apex. On the edge …