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Related papers: Polarization rotation and Casimir effect in suspen…

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We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane perfect conductor. This is done in two ways. First, we use the Quantum Field Theory (QFT)…

High Energy Physics - Theory · Physics 2010-01-26 M. Bordag , I. V. Fialkovsky , D. M. Gitman , D. V. Vassilevich

The polarization tensor of graphene derived in the framework of the Dirac model using the methods of thermal quantum field theory in (2+1) dimensions is recast in a mathematically equivalent but more compact and convenient in computations…

Quantum Physics · Physics 2025-02-20 G. L. Klimchitskaya , C. C. Korikov , V. M. Mostepanenko

We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane ideal conductor. We employ both the Quantum Field Theory (QFT) approach, and the Lifshitz…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 I. V. Fialkovsky

The Casimir effect is a quantum phenomenon induced by the zero-point energy of relativistic fields confined in a finite-size system. This effect for photon fields has been studied for a long time, while the realization of counterparts for…

Mesoscale and Nanoscale Physics · Physics 2023-06-22 Katsumasa Nakayama , Kei Suzuki

We adopt the Dirac model for quasiparticles in graphene and calculate the finite temperature Casimir interaction between a suspended graphene layer and a parallel conducting surface. We find that at high temperature the Casimir interaction…

High Energy Physics - Theory · Physics 2013-05-29 Ignat V. Fialkovsky , Valery N. Marachevsky , Dmitri V. Vassilevich

We present theoretical description of the Casimir interaction in graphene systems which is based on the Lifshitz theory of dispersion forces and the formalism of the polarization tensor in (2+1)-dimensional space-time. The representation…

Quantum Physics · Physics 2016-04-13 G. L. Klimchitskaya

We report precision measurements of the gradient of the Casimir force between an Au-coated sphere and graphene sheet deposited on a silica plate. The measurement data are compared with exact theory using the polarization tensor found in the…

Quantum Physics · Physics 2021-06-14 M. Liu , Y. Zhang , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

There is evidence for existence of massless Dirac quasi-particles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's brilluoin zone. We revisit the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Riazuddin

The Casimir force between two infinitely thin parallel sheets in a setting of $N$ such sheets is found. The finite two-dimensional conductivities, which describe the dispersive and absorptive properties of each sheet, are taken into…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 D. Drosdoff , Lilia M. Woods

The Casimir effect in graphene systems is reviewed with emphasis made on the large thermal correction to the Casimir force predicted at short separations between the test bodies. The computational results for the Casimir pressure and for…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The Casimir and Casimir-Polder interactions are investigated in a stack of equally spaced graphene layers. The optical response of the individual graphene is taken into account using gauge invariant components of the polarization tensor…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Nail Khusnutdinov , Rashid Kashapov , Lilia M. Woods

We propose an approach for investigation of interaction of thin material films with quantum electrodynamic fields. Using main principles of quantum electrodynamics (locality, gauge invariance, renormalizability) we construct a single model…

High Energy Physics - Theory · Physics 2007-05-23 V. N. Markov , Yu. M. Pis'mak

We calculate the Casimir interaction of two freestanding graphene samples under uniaxial strain. Our approach fully takes retardation and dispersion into account and is based on quantum field theoretical expressions for conductivities in…

Mesoscale and Nanoscale Physics · Physics 2018-02-19 M. Bordag , I. Fialkovsky , D. Vassilevich

This paper gives a brief overview of the polarization tensor approach to the Casimir effect. The fundamental principles of this approach are discussed, along with its various applications to both three-dimensional and two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 Nail Khusnutdinov , Natalia Emelianova

We investigate the fluctuation-induced Casimir interactions between two parallel graphene sheets carrying steady-state drift currents. The graphene properties are modeled based on the shifted Fermi disk model to capture the non-equilibrium…

Quantum Physics · Physics 2026-01-15 Modi Ke , Dai-Nam Le , Lilia M. Woods

We consider the problem of modeling of interaction of thin material films with fields of quantum electrodynamics. Taking into account the basic principles of quantum electrodynamics (locality, gauge invariance, renormalizability) we…

High Energy Physics - Theory · Physics 2009-11-11 V. N. Markov , Yu. M. Pis'mak

We show that the presence of parity-odd terms in the conductivity (or, in other words, in the polarization tensor of Dirac quasiparticles in graphene) leads to rotation of polarization of the electromagnetic waves passing through suspended…

High Energy Physics - Theory · Physics 2009-12-04 I. V. Fialkovsky , D. V. Vassilevich

The nonequilibrium Casimir-Polder force between a nanoparticle and a graphene sheet kept at different temperatures is investigated in the framework of Dirac model using the formalism of the polarization tensor. It is shown that the force…

Quantum Physics · Physics 2024-02-27 G. L. Klimchitskaya , V. M. Mostepanenko , O. Yu. Tsybin

We study a massless Dirac field subjected to two alternative boundary conditions on two parallel thin walls, in d + 1 dimensions. The two configurations correspond to the system being even or odd under reflection about the midplane between…

High Energy Physics - Theory · Physics 2026-05-19 Aitor Fernández , César D. Fosco

We present calculations of the zero-temperature Casimir interaction between two freestanding graphene sheets as well as between a graphene sheet and a substrate. Results are given for undoped graphene and for a set of doping levels covering…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Bo E. Sernelius
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