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We present here a formulation for the calculation of the configuration averaged lattice thermal conductivity in random alloys. Our formulation is based on the augmented-space theorem, introduced by one of us, combined with a generalized…

Materials Science · Physics 2013-12-25 Aftab Alam , Abhijit Mookerjee

We apply a new Kubo-Greenwood type formula combined with a generalized Feynman diagram- matic technique to report a first principles calculation of the thermal transport properties of disordered Fe_{1-x}Cr_{x} alloys. The diagrammatic…

Materials Science · Physics 2013-12-25 Aftab Alam , Rajiv K. Chouhan , Abhijit Mookerjee

The chiral surface electrons in the bulk quantum Hall effect probably form the first extended system in which conductance fluctuations can be calculated non-perturbatively in the presence of disorder. By use of the Kubo formula with…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Yi-Kuo Yu

The color conductivity is computed at leading logarithmic order using a Kubo formula. We show how to sum an infinite series of planar ladder diagrams, assuming some approximations based on the dominance of soft scattering processes between…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. M. Martinez Resco , M. A. Valle Basagoiti

The Kubo formula for the conductance of classically chaotic systems is analyzed semiclassically, yielding simple expressions for the mean and the variance of the quantum interference terms. In contrast to earlier work, here times longer…

Condensed Matter · Physics 2016-08-31 Nathan Argaman

The quantization of transport and its resilience to backscattering are key features for leveraging topological matter in applications that demand stringent noise mitigation, such as metrology and quantum information processing. Due to the…

The electrical conductivity of graphene with a nonzero mass-gap parameter is investigated starting from the first principles of quantum electrodynamics in (2+1)-dimensional space-time at any temperature. The formalism of the polarization…

Mesoscale and Nanoscale Physics · Physics 2016-11-07 G. L. Klimchitskaya , V. M. Mostepanenko

Using the recursive Green's function method, we study the problem of electron transport in a disordered single-layer graphene sheet. The conductivity is of order $e^2/h$ and its dependence on the carrier density has a scaling form that is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Caio H. Lewenkopf , Eduardo R. Mucciolo , Antonio H. Castro Neto

The calculations of thermal conductivity requires to know anharmonic properties of the crystal. For this purpose a non-perturbative anharmonic theory is applied, which do not make use of the potential energy expansion over atomic…

Materials Science · Physics 2023-01-06 Krzysztof Parlinski

The study explores perpendicular transport through macroscopically inhomogeneous three-dimensional disordered conductors using mesoscopic methods (real-space Green function technique in a two-probe measuring geometry). The nanoscale samples…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

The contour integration technique applied to calculate the optical conductivity tensor at finite temperatures in the case of layered systems within the framework of the spin-polarized relativistic screened Korringa-Kohn-Rostoker band…

Materials Science · Physics 2009-10-31 A. Vernes , L. Szunyogh , P. Weinberger

The Hall and longitudinal conductivities of a recently studied holographic model of a quantum Hall ferromagnet are computed using the Karch-O'Bannon technique. In addition, the low temperature entropy of the model is determined. The…

High Energy Physics - Theory · Physics 2015-12-30 J. Hutchinson , C. Kristjansen , G. W. Semenoff

We establish a connection between the electromagnetic Hall response and band topological invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless-Kohmoto-Nightingale-den Nijs (TKNN) formula. By generalizing…

Mesoscale and Nanoscale Physics · Physics 2024-12-03 Canon Sun , Anffany Chen , Tomáš Bzdušek , Joseph Maciejko

The disordered Bose Hubbard model is studied numerically within the Bogoliubov approximation. First, the spatially varying condensate wavefunction in the presence of disorder is found by solving a nonlinear Schrodinger equation. Using the…

Condensed Matter · Physics 2009-10-22 K. G. Singh , D. S. Rokhsar

As the foundation for a new computational implementation, we survey the calculation of the complex electrical conductivity tensor based on the Kubo-Greenwood (KG) formalism (J.\ Phys.\ Soc.\ Jpn. \textbf{12}, 570 (1957); Proc.\ Phys.\ Soc.\…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 L. Calderin , V. V. Karasiev , S. B. Trickey

We present a multiprobe recursive Green's function method to compute the transport properties of mesoscopic systems using the Landauer-B\"uttiker approach. By introducing an adaptive partition scheme, we map the multiprobe problem into the…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 Leandro R. F. Lima , Amintor Dusko , Caio Lewenkopf

Understanding DC electrical conductivity is crucial for the study of materials. Macroscopic DC conductivity can be calculated from first principles using the Kubo-Greenwood equation. The procedure involves finding the thermodynamic limit of…

Disordered Systems and Neural Networks · Physics 2020-03-23 Pavlo Bulanchuk

We studied theoretically the effect of a low concentration of adsorbed polar molecules on the optical conductivity of graphene, within the Kubo linear response approximation. Our analysis is based on a continuum model approximation that…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Horacio Falomir , Marcelo Loewe , Enrique Muñoz

Two dimensional topological superconductors with chiral edge modes are predicted to posses a quantized thermal Hall effect proportional to the Chern number, exactly half that for chiral topological insulators. However not much work has been…

Mesoscale and Nanoscale Physics · Physics 2023-11-10 Szczepan Głodzik , Nicholas Sedlmayr

We consider a $d$-dimensional disordered harmonic chain (DHC) perturbed by an energy conservative noise. We obtain uniform in the volume upper and lower bounds for the thermal conductivity defined through the Green-Kubo formula. These…

Statistical Mechanics · Physics 2009-11-13 Cedric Bernardin
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