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The quasi-2D electrons in graphene behave as massless fermions obeying a Dirac-Weyl equation in the low-energy regime near the two Fermi points. The stability of spin-polarized phases (SPP) in graphene is considered. The exchange energy is…

Strongly Correlated Electrons · Physics 2007-05-23 M. W. C. Dharma-wardana

In this study we report our numerical results on finite temperature non-interacting dynamical polarization function, plasmon modes and electron energy loss function of doped single layer gapped graphene within the random phase…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Digish K. Patel , Syed S. Z. Ashraf , Ami C. Sharma

The conformal invariance of the low energy limit theory governing the electronic properties of graphene is explored. In particular, it is noted that the massless Dirac theory in point enjoys local Weyl symmetry, a very large symmetry.…

High Energy Physics - Theory · Physics 2011-04-20 Alfredo Iorio

We calculate the phonon spectrum for a graphene sheet resulting from the model proposed by T. Lenosky et al. (Nature 355, 333 (1992)) for the free energy of the lattice. This model takes into account not only the usual bond bending and…

Materials Science · Physics 2009-07-07 S. Viola Kusminskiy , D. K. Campbell , A. H. Castro Neto

The Casimir-Polder force between atoms or nanoparticles and graphene-coated dielectric substrates is investigated in the region of large separations. Graphene coating with any value of the energy gap and chemical potential is described in…

Quantum Physics · Physics 2023-09-04 Galina L. Klimchitskaya , Vladimir M. Mostepanenko

Polarization of a vacuum as well as of dispersive and dissipative dielectric media with piece-wise and smooth inhomogeneities is studied with the goal to clarify the question of renormalizability of diverging electromagnetic stress-energy…

High Energy Physics - Theory · Physics 2021-11-04 A. Zelnikov , R. Krechetnikov

We address the spatially nonlocal dielectric functions of graphene at any frequency derived starting fromthe first principles of thermal quantum field theory using the formalism of the polarization tensor. After a brief review of this…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 V. M. Mostepanenko , G. L. Klimchitskaya

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that,…

High Energy Physics - Theory · Physics 2014-01-16 C. Bastos , O. Bertolami , N. Dias , J. Prata

In this paper, we calculated the dielectric function, the loss function, the magnetoplasmon dispersion relation and the temperature-induced transitions for graphene in a uniform perpendicular magnetic field B. The calculations were…

Mesoscale and Nanoscale Physics · Physics 2014-04-14 Jhao-Ying Wu , Szu-Chao Chen , Oleksiy Roslyak , Godfrey Gumbs , Ming-Fa Lin

We obtained numerical and closed-form analytic expressions for finite-temperature plasmon dispersion relations for intrinsic graphene in the presence of a finite energy gap in the energy spectrum. The calculations were carried out using the…

Mesoscale and Nanoscale Physics · Physics 2015-04-20 Andrii Iurov , Godfrey Gumbs , Danhong Huang , V. Silkin

Graphene is a two-dimensional (2D) material with over 100-fold anisotropy of heat flow between the in-plane and out-of-plane directions. High in-plane thermal conductivity is due to covalent sp2 bonding between carbon atoms, whereas…

Materials Science · Physics 2013-01-29 Eric Pop , Vikas Varshney , Ajit K. Roy

We investigate the dynamics of thermal Casimir interactions between plates described within a living conductor model, with embedded mobile anions and cations, whose density field obeys a stochastic partial differential equation which can be…

Statistical Mechanics · Physics 2015-06-18 David S. Dean , Rudolf Podgornik

Energetic and geometric aspects of the permeation of low-Z atoms through graphene sheets are investigated. Energy barriers and deformations are calculated via density functional theory for the permeation of H, He, Li and Be atoms at several…

Chemical Physics · Physics 2012-10-02 Stefan E. Huber , Andreas Mauracher , Michael Probst

We study the Coulomb drag between two single graphene sheets in intrinsic and extrinsic graphene systems with no interlayer tunneling. The general expression for the nonlinear susceptibility appropriate for single-layer graphene systems is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Wang-Kong Tse , Ben Yu-Kuang Hu , S. Das Sarma

We report our theoretical calculations on the temperature and energy dependent electrical conductivity of gapped graphene within the framework of Boltzmann transport formalism. Since screening effects have known to be of vital importance in…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Digish K Patel , A C Sharma , S S Z Ashraf

The excitations in graphene and some other materials are described by two-dimensional massless Dirac equation with applied external potential of some kind. Solutions of this zero energy equation are built analytically for a wide class of…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 M. V. Ioffe , D. N. Nishnianidze

We show that graphene-dielectric multilayers give rise to an unusual tunability of the Casimir-Lifshitz forces, and allow to easily realize completely different regimes within the same structure. Concerning thermal effects,…

Mesoscale and Nanoscale Physics · Physics 2017-03-27 Chahine Abbas , Brahim Guizal , Mauro Antezza

It is well known that, beginning in 2000, the behavior of the thermal correction to the Casimir force between real metals has been hotly debated. As was shown by several research groups, the Lifshitz theory, which provides the theoretical…

A study of the formation of excitons as a problem of two Dirac particles confined in two-layer graphene sheets separated by a dielectric when gaps are opened and they interact via a Coulomb potential is presented. We propose to observe…

Mesoscale and Nanoscale Physics · Physics 2013-07-30 Oleg L. Berman , Roman Ya. Kezerashvili , Klaus G. Ziegler

The surface impedance approach to the description of the thermal Casimir effect in the case of real metals is elaborated starting from the free energy of oscillators. The Lifshitz formula expressed in terms of the dielectric permittivity…

Quantum Physics · Physics 2009-11-10 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko