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We present here a calculation of the configuration averaged optical conductivity of random binary alloys CuAu and AgAu. Our formulation is based on the augmented space formalism proposed by Mookerjee [J. Phys. C : Solid State Phys. {\bf 6}…

Disordered Systems and Neural Networks · Physics 2007-05-23 Kartick Tarafder , Abhijit Mookerjee

In an earlier paper [K. K. Saha and A. Mookerjee, Phys. Rev. B 70 (2004) (in press) or, cond-mat/0403456] we had presented a formulation for the calculation of the configuration-averaged optical conductivity in random alloys. Our…

Materials Science · Physics 2009-11-10 Kamal Krishna Saha , Abhijit Mookerjee

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

Disordered nanostructures are commonly encountered in many nanophotonic systems, from colloid dispersions for sensing, to heterostructured photocatalysts. Randomness, however, imposes severe challenges for nanophotonics modeling, often…

In this paper we shall discuss the effect of disorder induced configuration fluctuations on single particle and two-particle phonon Green functions in substitutional random binary alloys. The randomness of the system will be dealt within…

Materials Science · Physics 2021-09-22 Aftab Alam , Abhijit Mookerjee

We present here an augmented space recursive technique in the k-representation which include diagonal, off-diagonal and the environmental disorder explicitly : an analytic, translationally invariant, multiple scattering theory for phonons…

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

A theory for the averaged optical characteristics of an ensemble of metal nanoparticles with different shapes has been developed. The theory is applicable both for the nanoparticle size at which the optical conductivity of the particle is a…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 P. M. Tomchuk , V. N. Starkov

We investigate the conductance statistics of a quantum-chaotic dot--a normal-metal grain--with a superconducting lead attached to it. The cases of one and two normal leads additionally attached to the dot are studied. For these two…

Mesoscale and Nanoscale Physics · Physics 2009-06-10 Victor A. Gopar , J. A. Mendez-Bermudez , Arafa H. Aly

We present here a reciprocal space formulation of the Augmented space recursion (ASR) which uses the lattice translation symmetry in the full augmented space to produce configuration averaged quantities, such as spectral functions and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Kamal Krishna Saha , Abhijit Mookerjee

Areal density of disorder-induced resonators with a high quality factor, $Q\gg 1$, in a film with fluctuating refraction index is calculated theoretically. We demonstrate that for a given $kl>1$, where $k$ is the light wave vector, and $l$…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. M. Apalkov , M. E. Raikh , B. Shapiro

The theoretical formulation and numerical evaluation of the vertex corrections in multiorbital techniques of theories of electronic properties of random alloys are analyzed. It is shown that current approaches to static transport properties…

Disordered Systems and Neural Networks · Physics 2016-06-10 Ilja Turek

We consider the inverse problem of reconstructing the scattering coefficient of a simple radiative transport equation (RTE) used to model light propagation inside a scattering medium. To do so, we extract information from the second term in…

Analysis of PDEs · Mathematics 2025-08-07 Francis Chung , Faith Hensley

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical…

Quantum Physics · Physics 2015-06-17 Ali Mostafazadeh

We study numerically scattering and transport statistical properties of tight-binding random networks characterized by the number of nodes $N$ and the average connectivity $\alpha$. We use a scattering approach to electronic transport and…

Disordered Systems and Neural Networks · Physics 2013-07-23 A. J. Martinez-Mendoza , A. Alcazar-Lopez , J. A. Mendez-Bermudez

The optical conductivity along and perpendicular to the planes is calculated assuming strong k-dependence of the scattering rate and the c-axis hopping parameter. Closed analytical expressions for the optical conductivy along these…

Superconductivity · Physics 2009-10-31 D. van der Marel

We calculate the average conductivity sigma (omega) of interacting electrons in one dimension in the presence of a long-range random potential (forward scattering disorder). Taking the curvature of the energy dispersion into account, we…

Strongly Correlated Electrons · Physics 2009-10-31 Peter Kopietz , Guillermo E. Castilla

We study the diffusion of an ensemble of overdamped particles sliding over a tilted random poten- tial (produced by the interaction of a particle with a random polymer) with long-range correlations. We found that the diffusion properties of…

Disordered Systems and Neural Networks · Physics 2014-04-11 R. Salgado-Garcia , Cesar Maldonado

In this communication we have studied the electronic structure, magnetic and optical properties of bcc \fecr alloys in the ferromagnetic phase. We have used the augmented space recursion technique coupled with tight-binding linearized…

Disordered Systems and Neural Networks · Physics 2007-06-12 Kartick Tarafder , Atisdipankar Chakrabarti , Subhradip Ghosh , Biplab Sanyal , Olle Eriksson , Abhijit Mookerjee

Combining the augmented space representation for phonons with a generalized version of Yonezawa-Matsubara diagrammatic technique, we have set up a formalism to seperate the coherent and incoherent part of the total intensity of thermal…

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

The planar-diagrammatic technique of large-$N$ random matrices is extended to evaluate averages over the circular ensemble of unitary matrices. It is then applied to study transport through a disordered metallic ``grain'', attached through…

Condensed Matter · Physics 2009-10-28 N. Argaman , A. Zee
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