Self-adjointness of two-dimensional Dirac operators on domains

RD Benguria, S Fournais, E Stockmeyer… - Annales Henri …, 2017 - Springer
Self-Adjointness of Two-Dimensional Dirac Operators on Domains Page 1 Ann. Henri
Poincaré 18 (2017), 1371–1383 c© 2017 Springer International Publishing 1424-0637/17/041371-13 …

Spectral gaps of Dirac operators describing graphene quantum dots

RD Benguria, S Fournais, E Stockmeyer… - … Physics, Analysis and …, 2017 - Springer
The two-dimensional Dirac operator describes low-energy excitations in graphene. Different
choices for the boundary conditions give rise to qualitative differences in the spectrum of the …

Graphene through the looking glass of QFT

IV Fialkovsky, DV Vassilevich - Modern Physics Letters A, 2016 - World Scientific
This paper is aimed to review and promote the main applications of the methods of quantum
field theory (QFT) to description of quantum effects in graphene. We formulate the effective …

Optical conductivity and transparency in an effective model for graphene

H Falomir, M Loewe, E Munoz, A Raya - Physical Review B, 2018 - APS
Motivated by experiments confirming that the optical transparency of graphene is defined
through the fine structure constant and that it could be fully explained within the relativistic …

Optical conductivity in an effective model for graphene: finite temperature corrections

H Falomir, E Munoz, M Loewe… - Journal of Physics A …, 2019 - iopscience.iop.org
In this article, we investigate the temperature and chemical potential dependence of the
optical conductivity of graphene, within a field theoretical representation in the continuum …

Mass distortions and edge modes in graphene armchair nanoribbons

CG Beneventano, IV Fialkovsky, M Nieto… - Physical Review B, 2018 - APS
We investigate, in the framework of the macroscopic Dirac model, the spectrum, charge
density, and conductivity of metallic armchair graphene nanoribbons in the presence of …

Zeros of combinations of Bessel functions and the mean charge of graphene nanodots

CG Beneventano, IV Fialkovsky… - … and Mathematical Physics, 2016 - Springer
We establish some properties of the zeros of sums and differences of contiguous Bessel
functions of the first kind. As a by-product, we also prove that the zeros of the derivatives of …

Chiral magnetic effect at finite temperature in a field-theoretic approach

CG Beneventano, M Nieto… - Journal of Physics A …, 2020 - iopscience.iop.org
We investigate the existence (or lack thereof) of the chiral magnetic effect (CME) in the
framework of finite temperature field theory, studied through the path integral approach and …

Bag Boundaries for Quasispinor Confinement Within Nanolanes on a Graphene Sheet

Y Koohsarian, A Naji - Annalen der Physik, 2023 - Wiley Online Library
The problem of bag boundary conditions within a field‐theoretic approach is revisited to
study confinement of massless Dirac quasispinors in monolayer graphene. While no‐flux …

Optical Transparency in an effective model for Graphene

H Falomir, M Loewe, E Munoz, A Raya - arXiv preprint arXiv:1712.10303, 2017 - arxiv.org
Motivated by experiments confirming that the optical transparency of graphene is defined
through the fine structure constant and that it could be fully explained within the relativistic …