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Within a Kubo formalism, we calculate the absorptive part of the dynamic longitudinal conductivity $\sigma(\Omega)$ of a 2D semi-Dirac material. In the clean limit, we provide separate analytic formulas for intraband (Drude) and interband…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 J. P. Carbotte , K. R. Bryenton , E. J. Nicol

The peculiar shape of the Fermi surface of topological nodal line semimetals at low carrier concentrations results in their unusual optical and transport properties. We analytically investigate the linear optical responses of three and…

Materials Science · Physics 2017-11-08 Shahin Barati , Saeed H. Abedinpour

In this review, we survey the current progress in computing transport properties in semimetals which harbour non-Fermi liquid phases. We first discuss the widely-used Kubo formalism, which can be applied to the effective theory describing…

Strongly Correlated Electrons · Physics 2024-08-28 Ipsita Mandal , Hermann Freire

Within a Kubo formalism, we study dc transport and ac optical properties of 3D Dirac and Weyl semimetals. Emphasis is placed on the approach to charge neutrality and on the differences between Dirac and Weyl materials. At charge neutrality,…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 C. J. Tabert , J. P. Carbotte , E. J. Nicol

We study the optical properties of Weyl semimetal (WSM) in a model which features, in addition to the usual term describing isolated Dirac cones proportional to the Fermi velocity $v_{F}$, a gap term $m$ and a Zeeman spin-splitting term $b$…

Strongly Correlated Electrons · Physics 2017-10-11 S. P. Mukherjee , J. P. Carbotte

The phase space for graphene's minimum conductivity $\sigma_\mathrm{min}$ is mapped out using Landauer theory modified for scattering using Fermi's Golden Rule, as well as the Non-Equilibrium Green's Function (NEGF) simulation with a Monte…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 Redwan N. Sajjad , Frank Tseng , K. M. Masum Habib , Avik W. Ghosh

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…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Saúl A. Herrera , Gerardo G. Naumis

With the use of simple models, we investigated the optical conductivity of a nodal-line semimetal (NLSM) whose crossing of the conduction and valence bands near the origin ($O$ point) in the ($k_x,k_y$) plane of a small cubic region can be…

Mesoscale and Nanoscale Physics · Physics 2023-10-16 Sita Kandel , Godfrey Gumbs , Oleg L. Berman

Two-dimensional Dirac fermions are used to discuss quasiparticles in graphene in the presence of impurity scattering. Transport properties are completely dominated by diffusion. This may explain why recent experiments did not find weak…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Klaus Ziegler

The transport coefficients of quark matter at non-zero chemical potential and temperature are computed within the two-flavor Nambu--Jona-Lasinio model. We apply the Kubo formalism to obtain the thermal ($\kappa$) and electrical ($\sigma$)…

Nuclear Theory · Physics 2020-06-30 Arus Harutyunyan , Dirk H. Rischke , Armen Sedrakian

Fermi liquid theory is remarkably successful in describing the transport and optical properties of metals; at frequencies higher than the scattering rate, the optical conductivity adopts the well-known power law behavior $\sigma_1(\omega)…

Superconductivity · Physics 2013-12-17 C. C. Homes , J. J. Tu , J. Li , G. D. Gu , A. Akrap

We investigate optical transitions of non-interacting electron systems consisting of two symmetric energy bands touching each other at the Fermi energy (e.g. graphene at half filling). Optical conductivity is obtained using Kubo formula at…

Mesoscale and Nanoscale Physics · Physics 2013-04-03 Ádám Bácsi , Attila Virosztek

In this paper we systemically study the optical conductivity and density of states of disorded graphene beyond the Dirac cone approximation. The optical conductivity of graphene is computed by using the Kubo formula, within the framework of…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Shengjun Yuan , Rafael Roldán , Hans De Raedt , Mikhail I. Katsnelson

We examine an effect of acoustic phonon scattering on an electric conductivity of single-component molecular conductor [Pd(dddt)$_2$] (dddt = 5,6-dihydro-1,4-dithiin-2,3-dithiolate) with a half-filled band by applying the previous…

Materials Science · Physics 2020-09-30 Yoshikazu Suzumura , Reizo Kato , Masao Ogata

The applicability of the semiclassical Boltzmann transport theory is fundamentally challenged in strongly correlated systems where quasiparticle excitations are ill-defined. When the fermion spectral broadening becomes much larger than the…

Strongly Correlated Electrons · Physics 2026-05-29 Yi-Hui Xing , Wu-Ming Liu

We briefly review some basic aspects of transport in clean metals focusing on the role of electron-electron interactions and neglecting the effects of impurities, phonons and interband transitions. Both for small Fermi surfaces of two and…

Strongly Correlated Electrons · Physics 2007-05-23 A. Rosch

We consider the dynamics of charge carriers in single-layer graphene that are subject to random temporal fluctuations of their mass gap. The optical conductivity is calculated by incorporating the quantum-stochastic time evolution into the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J. Z. Bernád

Using a tight-binding model, we theoretically examine the anisotropic conductivity of the nodal line semimetal of a three-dimensional Dirac electron in a single-component molecular conductor [Pd(dddt)$_2$], which consists of four molecules…

Materials Science · Physics 2018-11-15 Yoshikazu Suzumura

The remarkable transport properties of graphene follow not only from the the Dirac-like energy dispersion, but also from the chiral nature of its excitations, which makes unclear the limits of applicability of the standard semiclassical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Cappelluti , L. Benfatto

We study the DC transport of finite graphene samples with random gap. Using Dirac fermions to describe the low-energy physics near the Dirac point, we employ a generalized Drude form for the conductivity. The latter is constant for a…

Mesoscale and Nanoscale Physics · Physics 2010-06-14 K. Ziegler , A. Sinner
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