Casimir and Casimir-Polder forces in graphene systems: Quantum field theoretical description and thermodynamics

GL Klimchitskaya, VM Mostepanenko - Universe, 2020 - mdpi.com
We review recent results on the low-temperature behaviors of the Casimir-Polder and
Casimir free energy an entropy for a polarizable atom interacting with a graphene sheet and …

Experimental and theoretical investigation of the thermal effect in the Casimir interaction from graphene

M Liu, Y Zhang, GL Klimchitskaya, VM Mostepanenko… - Physical Review B, 2021 - APS
We present the results of an experiment on measuring the gradient of the Casimir force
between an Au-coated hollow glass microsphere and graphene-coated fused silica plate by …

Quantum field theoretical description for the reflectivity of graphene

M Bordag, GL Klimchitskaya, VM Mostepanenko… - Physical Review D, 2015 - APS
We derive the polarization tensor of graphene at nonzero temperature in (2+ 1)-dimensional
space-time. The obtained tensor coincides with the previously known result at all Matsubara …

Thermodynamic properties of the graphene in a magnetic field via the two-dimensional Dirac oscillator

A Boumali - Physica Scripta, 2015 - iopscience.iop.org
In this paper, we show, by using the approach of effective mass, that the model of a two-
dimensional Dirac oscillator can be used to describe the thermodynamic properties of …

Quantum field theoretical framework for the electromagnetic response of graphene and dispersion relations with implications to the Casimir effect

GL Klimchitskaya, VM Mostepanenko - Physical Review D, 2023 - APS
We consider the spatially nonlocal response functions of graphene obtained on the basis of
first principles of quantum field theory using the polarization tensor in the areas of both the …

Conductivity of pure graphene: Theoretical approach using the polarization tensor

GL Klimchitskaya, VM Mostepanenko - Physical Review B, 2016 - APS
We obtain analytic expressions for the conductivity of pristine (pure) graphene in the
framework of the Dirac model using the polarization tensor in (2+ 1) dimensions defined …

Quantum field theory in graphene

IV Fialkovsky, DV Vassilevich - International Journal of Modern …, 2012 - World Scientific
This is a short nontechnical introduction to applications of the Quantum Field Theory
methods to graphene. We derive the Dirac model from the tight binding model and describe …

Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics

GL Klimchitskaya, VM Mostepanenko - Physical Review D, 2020 - APS
The analytic asymptotic expressions for the Casimir free energy and entropy for two parallel
graphene sheets possessing nonzero energy gap Δ and chemical potential μ are derived at …

Theory of reflectivity properties of graphene-coated material plates

GL Klimchitskaya, CC Korikov, VM Petrov - Physical Review B, 2015 - APS
The theoretical description for the reflectivity properties of dielectric, metal, and
semiconductor plates coated with graphene is developed in the framework of the Dirac …

Temperature and chemical potential dependence of the parity anomaly in quantum anomalous Hall insulators

C Tutschku, FS Nogueira, C Northe, J Van Den Brink… - Physical Review B, 2020 - APS
The low-energy physics of two-dimensional quantum anomalous Hall insulators like (Hg,
Mn) Te quantum wells or magnetically doped (Bi, Sb) Te thin films can be effectively …