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The algorithm to calculate the generating function for the number of ``skeleton'' diagrams for the irreducible self-energy and vertex parts is derived for the problems with Gaussian random fields. We find an exact recurrence relation…

Disordered Systems and Neural Networks · Physics 2009-10-30 E. Z. Kuchinskii , M. V. Sadovskii

We calculate the Green's functions for the particle-vortex system, for two anyons on a plane with and without a harmonic regulator and in a uniform magnetic field. These Green's functions which describe scattering or bound states (depending…

Quantum Physics · Physics 2007-05-23 P. F. Borges , H. Boschi-Filho , A. N. Vaidya

We calculate the ground-state energy of Dirac electrons in graphene in the presence of disorder. We take randomly distributed charged impurities at a fixed distance from the graphene sheet and surface fluctuations (ripples) as the main…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Asgari , M. M. Vazifeh , M. R. Ramezanali , E. Davoudi , B. Tanatar

Interatomic potentials beyond quadratic order provide scattering sources for phonon transport in lattice. By using a weakly-interacting interface model, we investigated the relation between the order of interatomic potential and the…

Materials Science · Physics 2022-02-23 Hangbo Zhou , Gang Zhang , Yong-Wei Zhang

The spatial structure of the inhomogeneity in a disordered medium determines how waves scatter and propagate in it. We present a theoretical model of how the Fourier components of the disorder control wave scattering in a two-dimensional…

Optics · Physics 2023-10-03 Zhun-Yong Ong

Studies of Hamiltonians modeling the coupling between electrons as well as to local phonon excitations have been fundamental in capturing the novel ordering seen in many quasi-one dimensional condensed matter systems. Extending studies of…

Strongly Correlated Electrons · Physics 2023-06-21 Nahom K. Yirga , Ka-Ming Tam , David K. Campbell

The influence of configurational disorder on the magnetic properties of diluted Heisenberg spin systems is studied with regard to the ferromagnetic stability of diluted magnetic semiconductors. The equation of motion of the magnon Green's…

Disordered Systems and Neural Networks · Physics 2015-06-25 Guixin Tang , Wolfgang Nolting

Time-resolved diffuse scattering experiments have gained increasing attention due to their potential to reveal non-equilibrium dynamics of crystal lattice vibrations with full momentum resolution. Although progress has been made in…

We study Anderson localization of waves in a one dimensional disordered meta-material of bilayers comprising of thin fixed length scatterers placed randomly along a homogenous medium. As an interplay between order and disorder, we identify…

Disordered Systems and Neural Networks · Physics 2018-07-11 Nitin Upadhyaya , Ariel Amir

3D Compton scattering imaging is an upcoming concept exploiting the scattering of photons induced by the electronic structure of the object under study. The so-called Compton scattering rules the collision of particles with electrons and…

Numerical Analysis · Mathematics 2020-07-02 Gael Rigaud

We study the dc conductivity of a weakly disordered 2d Dirac electron gas with two bands and two spectral nodes, employing a field theoretical version of the Kubo--Greenwood conductivity formula. In this paper we are concerned with the…

Strongly Correlated Electrons · Physics 2018-08-02 Andreas Sinner , Klaus Ziegler

We develop a multidimensional coupled channel method suitable for studying the interplay of bound state resonance and phonon assisted scattering of inert gas atoms from solid surfaces in one, two and three dimensions. This enables us to get…

Statistical Mechanics · Physics 2009-11-11 A. Siber , B. Gumhalter

The objective of this article is to investigate the profound nonlinear optical response exhibited by inversion symmetric fullerene molecules under the influence of different types of disorders described by the Anderson model. Our aim is to…

Optics · Physics 2023-09-06 H. K. Avetissian , S. Sukiasyan , H. H. Matevosyan , G. F. Mkrtchian

We investigate the scattering problem of a two-particle composite system on a delta-function potential. Using the time independent scattering theory, we study how the transmission/reflection coefficients change with the height of external…

Quantum Physics · Physics 2017-01-26 Tieling Song , Wei Zhu , D. L. Zhou

It has long been established that disorder has profound effects on unconventional superconductors and it has been suggested repeatedly that observation and analysis of these disorder effects can help to identify the order parameter…

Superconductivity · Physics 2007-05-23 Carsten T. Rieck , Kurt Scharnberg , Simon Scheffler

Despite extensive existing studies, a complete understanding of the role of disorder in affecting the physical properties of two-dimensional Dirac fermionic systems remains a standing challenge, largely due to obstacles encountered in…

Mesoscale and Nanoscale Physics · Physics 2023-08-04 Bo Fu , Yanru Chen , Weiwei Chen , Wei Zhu , Ping Cui , Qunxiang Li , Zhenyu Zhang , Qinwei Shi

Computationally inexpensive approximations describing electron-phonon scattering in molecular-scale conductors are derived from the non-equilibrium Green's function method. The accuracy is demonstrated with a first principles calculation on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Magnus Paulsson , Thomas Frederiksen , Mads Brandbyge

The effect of static fluctuations in the phase of the order parameter on the normal and superconducting properties of a 2D system with attractive four-fermion interaction is studied. Analytic expressions for the fermion Green's function,…

Superconductivity · Physics 2009-10-31 Valery P. Gusynin , Vadim M. Loktev , Sergei G. Sharapov

Reflection of particles from a disordered or chaotic medium is characterized by a scattering matrix that can be represented as a superposition of resonances. Each resonance corresponds to an eigenstate inside the medium and has a width…

Disordered Systems and Neural Networks · Physics 2025-12-23 M. S. Kurilov , P. M. Ostrovsky

Disorder in high entropy alloys, arising from the random distribution of multiple elements, plays a crucial role in their novel properties desirable for various advanced engineering applications. We investigate the role of compositional and…