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The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed…

介观与纳米尺度物理 · 物理学 2017-12-25 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

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 along the real frequency axis. It is found that at both zero and…

材料科学 · 物理学 2016-07-13 G. L. Klimchitskaya , V. M. Mostepanenko

The reflectivity properties of graphene with nonzero mass-gap parameter are investigated in the framework of Dirac model using the polarization tensor in (2+1)-dimensional space-time. For this purpose, a more simple explicit representation…

介观与纳米尺度物理 · 物理学 2016-05-25 G. L. Klimchitskaya , V. M. Mostepanenko

We derive the polarization tensor of graphene at nonzero temperature in (2+1)-dimensional space-time. The obtained tensor coincides with the previously known one at all Matsubara frequencies, but, in contrast to it, admits analytic…

介观与纳米尺度物理 · 物理学 2016-04-13 M. Bordag , G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

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…

介观与纳米尺度物理 · 物理学 2026-02-19 V. M. Mostepanenko , G. L. Klimchitskaya

The subject of thermal transport at the mesoscopic scale and in low-dimensional systems is interesting for both fundamental research and practical applications. As the first example of truly two-dimensional materials, graphene has…

材料科学 · 物理学 2014-06-10 Yong Xu , Zuanyi Li , Wenhui Duan

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…

介观与纳米尺度物理 · 物理学 2015-04-07 Digish K Patel , A C Sharma , S S Z Ashraf

Graphene exhibits extraordinary electronic and mechanical properties, and extremely high thermal conductivity. Being a very stable atomically thick membrane that can be suspended between two leads, graphene provides a perfect test platform…

We use linear-response theory to evaluate the frequency-dependent conductivity of a system subject to a continuous quantum measurement of the current. Application of this formalism to graphene yields a consistent framework for discussing…

介观与纳米尺度物理 · 物理学 2013-05-29 J. Z. Bernad , M. Jaaskelainen , U. Zuelicke

The universal quantization of thermal conductance provides information on the topological order of a state beyond electrical conductance. Such measurements have become possible only recently, and have discovered, in particular, that the…

介观与纳米尺度物理 · 物理学 2019-02-19 Saurabh Kumar Srivastav , Manas Ranjan Sahu , K. Watanabe , T. Taniguchi , Sumilan Banerjee , Anindya Das

We present an analytic calculation of the conductivity of pure graphene as a function of frequency $\omega $, wave-vector $k$, and temperature for the range where the energies related to all these parameters are small in comparison with the…

介观与纳米尺度物理 · 物理学 2009-11-11 L. A. Falkovsky , A. A. Varlamov

We analyze the concept of causality for the conductivity of graphene described by the Dirac model. It is recalled that the condition of causality leads to the analyticity of conductivity in the upper half-plane of complex frequencies and to…

介观与纳米尺度物理 · 物理学 2018-04-11 G. L. Klimchitskaya , V. M. Mostepanenko

A yet unexplored area in graphene electronics is the field of quantum ballistic transport through graphene nanostructures. Recent developments in the preparation of high mobility graphene are expected to lead to the experimental…

The reflectance of graphene is investigated in the framework of the Dirac model with account of its realistic properties, such as nonzero chemical potential and band gap, at any temperature. For this purpose, the exact reflection…

介观与纳米尺度物理 · 物理学 2018-08-29 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

In low-dimensional systems, the combination of reduced dimensionality, strong interactions, and topology has led to a growing number of many-body quantum phenomena. Thermal transport, which is sensitive to all energy-carrying degrees of…

Graphene membrane irradiated by weak activating periodic electric field in terahertz range is considered. The corrected formula for the graphene quantum conductivity is found. The obtained formula gives complex conjugate results when…

介观与纳米尺度物理 · 物理学 2017-08-23 N. E. Firsova

The electronic thermal conductivity of graphene and 2D Dirac materials is of fundamental interest and can play an important role in the performance of nano-scale devices. We report the electronic thermal conductivity, $K_{e}$, in suspended…

介观与纳米尺度物理 · 物理学 2013-07-01 S. Yiğen , V. Tayari , J. O. Island , J. M. Porter , A. R. Champagne

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 approximation, arising from an underlying tight-binding…

介观与纳米尺度物理 · 物理学 2020-01-08 Horacio Falomir , Enrique Muñoz , Marcelo Loewe , Renato Zamora

Recently, Rodriguez-Lopez, Wang, and Antezza [Phys. Rev. B v.111, 115428 (2025)] compared the theoretical descriptions of electric conductivity of graphene given by the Kubo model and quantum field theory in terms of the polarization…

介观与纳米尺度物理 · 物理学 2026-05-21 M. Bordag , N. Khusnutdinov , G. L. Klimchitskaya , V. M. Mostepanenko

We study the electron/hole transport in puddle-disordered and rough graphene samples which are subject to in-plane magnetic fields. Previous treatments, mostly devoted to regimes where the electron/hole scattering wavelengths are larger…

介观与纳米尺度物理 · 物理学 2015-04-15 R. R. Brandão , L. Moriconi
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