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Using the Kubo formula we develop a general and simple expression for the minimal conductivity in systems described by a two by two Hamiltonian. As an application we derive an analytical expression for the minimal conductivity tensor of…

介观与纳米尺度物理 · 物理学 2012-01-09 Gyula Dávid , Péter Rakyta , László Oroszlány , József Cserti

The minimal conductivity of graphene is a quantity measured in the DC limit. It is shown, using the Kubo formula, that the actual value of the minimal conductivity is sensitive to the order in which certain limits are taken. If the DC limit…

无序系统与神经网络 · 物理学 2007-06-19 K. Ziegler

We show that a coherent picture of the dc conductivity of monolayer and bilayer graphene at finite electronic densities emerges upon considering that strong short-range potentials are the main source of scattering in these two systems. The…

介观与纳米尺度物理 · 物理学 2011-04-08 A. Ferreira , J. Viana Gomes , Johan Nilsson , Eduardo R. Mucciolo , N. M. R. Peres , A. H. Castro Neto

Using the Landauer formula approach, it is proven that minimal conductivity of order of $e^{2}/h$ found experimentally in bilayer graphene is its intrinsic property. For the case of ideal crystals, the conductivity turns our to be equal to…

介观与纳米尺度物理 · 物理学 2007-05-23 M. I. Katsnelson

Using a reformulated Kubo formula we calculate the zero-energy minimal conductivity of bilayer graphene taking into account the small but finite trigonal warping. We find that the conductivity is independent of the strength of the trigonal…

介观与纳米尺度物理 · 物理学 2007-08-13 J. Cserti , A. Csordás , Gy. Dávid

It has been recently demonstrated experimentally that graphene, or single-layer carbon, is a gapless semiconductor with massless Dirac energy spectrum. A finite conductivity per channel of order of $e^{2}/h$ in the limit of zero temperature…

介观与纳米尺度物理 · 物理学 2007-05-23 M. I. Katsnelson

The in-plane DC conductivity of twisted bilayer graphene (TBLG) is calculated using an expansion of the real-space Kubo-Bastin conductivity in terms of Chebyshev polynomials. We investigate within a tight-binding (TB) approach the transport…

介观与纳米尺度物理 · 物理学 2018-03-28 M. Anđelković , L. Covaci , F. M. Peeters

We have calculated the optical conductivity of a disorder-free single graphene sheet in the presence of spin-orbit coupling, using the Kubo formalism. Both intrinsic and structural-inversion-asymmetry induced types of spin splitting are…

介观与纳米尺度物理 · 物理学 2010-01-21 P. Ingenhoven , J. Z. Bernad , U. Zuelicke , R. Egger

A Drude-Boltzmann theory is used to calculate the transport properties of bilayer graphene. We find that for typical carrier densities accessible in graphene experiments, the dominant scattering mechanism is overscreened Coulomb impurities…

介观与纳米尺度物理 · 物理学 2008-03-22 Shaffique Adam , S. Das Sarma

We study the ballistic conductivity of graphene bilayer in the presence of next-nearest neighbor hoppings between the layers. An undoped and unbiased system was found in Ref. [1] to show a nonuniversal (length-dependent) conductivity…

介观与纳米尺度物理 · 物理学 2014-08-12 Grzegorz Rut , Adam Rycerz

We present a detailed numerical study of the electronic transport properties of bilayer and trilayer graphene within a framework of single-electron tight-binding model. Various types of disorder are considered, such as resonant (hydrogen)…

介观与纳米尺度物理 · 物理学 2011-01-04 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \sigma=\sigma_0(1+0.01 g), where 'g' is the dimensionless ("fine structure") coupling constant. The…

介观与纳米尺度物理 · 物理学 2009-02-25 E. G. Mishchenko

The single-band current-dipole Kubo formula for the dynamical conductivity of heavily doped graphene from Kup\v{c}i\'{c} [Phys. Rev. B 91, 205428 (2015)] is extended to a two-band model for conduction $\pi$ electrons in lightly doped…

介观与纳米尺度物理 · 物理学 2016-08-25 I. Kupčić , G. Nikšić , Z. Rukelj , D. Pelc

We derive analytical expressions for the conductivity of bilayer graphene (BLG) using the Boltzmann approach within the the Born approximation for a model of Gaussian disorders describing both short- and long-range impurity scattering. The…

介观与纳米尺度物理 · 物理学 2011-09-30 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

We have performed a theoretical study of electronic transport in single and bilayer graphene based on the standard linear-response (Kubo) formalism and continuum-model descriptions of the graphene band structure. We are focusing especially…

介观与纳米尺度物理 · 物理学 2010-02-25 J. Z. Bernad , U. Zuelicke , K. Ziegler

The DC conductivity of monolayer and bilayer graphene is studied perturbatively for different types of disorder. In the case of monolayer, an exact cancellation of logarithmic divergences occurs for all disorder types. The total…

无序系统与神经网络 · 物理学 2011-12-05 Andreas Sinner , Klaus Ziegler

The electronic and optical conductivities for anisotropic tilted Dirac semimetals are calculated using the Kubo formula. As in graphene, it is shown that the minimal conductivity is sensitive to the order in which the temperature, frequency…

介观与纳米尺度物理 · 物理学 2019-11-22 Saúl A. Herrera , Gerardo G. Naumis

Twisted bilayer graphene is a chiral system which has been recently shown to present circular dichroism. In this work we show that the origin of this optical activity is the rotation of the Dirac fermions' helicities in the top and bottom…

材料科学 · 物理学 2017-09-18 E. Suarez Morell , Leonor Chico , Luis Brey

In the Comment by Bordag et al. [Phys. Rev. B 113, 207401 (2026) and ArXiv:2506.10792], concerns are raised regarding the validity of the results presented in [Phys. Rev. B 111, 115428 (2025)], where the theoretical descriptions of the…

介观与纳米尺度物理 · 物理学 2026-05-12 Pablo Rodriguez-Lopez , Jian-Sheng Wang , Mauro Antezza

Fermi line of bilayer graphene at zero energy is transformed into four separated points positioned trigonally at the corner of the hexagonal first Brillouin zone. We show that as a result of this trigonal splitting the minimal conductivity…

介观与纳米尺度物理 · 物理学 2009-11-13 Ali G. Moghaddam , Malek Zareyan
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