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In the theory of dilute magnetic impurities in superconductors, the effect of all impurity spin-components is expressed via a single magnetic scattering rate $\Gamma_\mathrm{m}$. In a more realistic setting, magnetic impurities are…

Superconductivity · Physics 2020-08-05 David Möckli , Menashe Haim , Maxim Khodas

We theoretically address the impact of a random distribution of non-magnetic impurities on the surface states formed at the interface between a trivial and a topological insulator. The interaction of electrons with the impurities is…

Mesoscale and Nanoscale Physics · Physics 2020-10-15 José Luis Hernando , Yuriko Baba , Elena Díaz , Francisco Domínguez-Adame

We discuss the weak-coupling BCS theory of a superconductor with the impurities, accounting for their anisotropic momentum-dependent potential. The impurity scattering process is considered in the t-matrix approximation and its influence on…

Superconductivity · Physics 2009-10-31 G. Haran , A. D. S. Nagi

We calculate the plasmon dispersion in quasi-one-dimensional quantum wires, in the presence of non-magnetic impurities, taking into consideration the memory function formalism and the role of the forward scattering. The plasma frequency is…

Disordered Systems and Neural Networks · Physics 2009-11-13 I. Grosu , L. Tugulan

Single-site and cluster dynamical mean-field methods are used to estimate the response of a doped Mott insulator to a charged impurity. The effect of correlations on the Thomas-Fermi screening properties is determined. The charge density,…

Strongly Correlated Electrons · Physics 2010-06-24 Hung T. Dang , Emanuel Gull , Andrew J. Millis

The effect of weak anisotropic (momentum-dependent) impurity scattering in unconventional superconductors has been investigated. It is shown that the anisotropic scattering can lead either to a small reduction or a small enhancement of the…

Superconductivity · Physics 2009-10-28 Grzegorz Haran , A. D. S. Nagi

We consider a one-dimensional (1D) wire along which single conduction electrons can propagate in the presence of two spin-1/2 magnetic impurities. The electron may be scattered by each impurity via a contact-exchange interaction and thus a…

Quantum Physics · Physics 2009-11-13 F. Ciccarello , G. M. Palma , M. Zarcone , Y. Omar , V. R. Vieira

We apply the concept of reflection-transmission (RT) algebra, originally developed in the context of integrable systems in 1+1 space-time dimensions, to the study of finite temperature quantum field theory with impurities in higher…

High Energy Physics - Theory · Physics 2011-02-16 M. Mintchev , P. Sorba

Asymptotic solution to many-body wave scattering problem is given in the case of many small scatterers. The small scatterers can be particles whose physical properties are described by the boundary impedances, or they can be small…

Mathematical Physics · Physics 2011-01-25 A. G. Ramm

The theory of acoustic wave scattering by many small bodies is developed for bodies with impedance boundary condition. It is shown that if one embeds many small particles in a bounded domain, filled with a known material, then one can…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

In this paper we survey some recent results concerning scattering and non-scattering in the context of the linear Helmholtz equation and inhomogeneities of nontrivial contrast. We examine isotropic as well as anisotropic media. Part of the…

Analysis of PDEs · Mathematics 2026-02-09 Fioralba Cakoni , Michael S. Vogelius

In this work we study the Kondo impurity problem - at a finite concentration of impurities. We identify two parameter regimes for the Kondo impurity problem. 1) The single impurity limit, where the concentration of Kondo impurities is so…

Strongly Correlated Electrons · Physics 2024-10-29 Garry Goldstein

We study point impurities in non-relativistic quantum field theories, with a focus on scale-invariant fixed points. We establish the framework of conformal defects in Schr\"{o}dinger field theories and their correspondence to many-body…

Quantum Gases · Physics 2025-09-24 Avia Raviv-Moshe , Siwei Zhong

Exact results for the thermodynamic properties of ensembles of magnetic impurities with randomly distributed host-impurity couplings in the quantum antiferromagnetic Heisenberg model are presented. Exact calculations are done for arbitrary…

Condensed Matter · Physics 2009-10-31 A. Klümper , A. A. Zvyagin

A dynamical mean-field theory of the small polaron problem is presented, which becomes exact in the limit of infinite dimensions. The ground state properties and the one-electron spectral function are obtained for a single electron…

Condensed Matter · Physics 2009-10-30 S. Ciuchi , F. de Pasquale , S. Fratini , D. Feinberg

We propose and study a conformal field theory (CFT) model with random position-dependent velocity that, as we argue, naturally emerges as an effective description of heat transport in one-dimensional quantum many-body systems with certain…

Statistical Mechanics · Physics 2019-02-15 Edwin Langmann , Per Moosavi

We consider inverse potential scattering problems where the source of the incident waves is located on a smooth closed surface outside of the inhomogeneity of the media. The scattered waves are measured on the same surface at a fixed value…

Mathematical Physics · Physics 2017-10-12 Evgeny Lakshtanov , Boris Vainberg

We present the universal theory of arbitrary, localized impurities in a confining paramagnetic state of two-dimensional antiferromagnets with global SU(2) spin symmetry. The energy gap of the host antiferromagnet to spin-1 excitations,…

Strongly Correlated Electrons · Physics 2007-05-23 Matthias Vojta , Chiranjeeb Buragohain , Subir Sachdev

We study an impurity with a resonance level whose energy coincides with the Fermi energy of the surrounding Fermi gas. An impurity causes a rapid variation of the scattering phase shift for fermions at the Fermi surface, introducing a new…

Quantum Gases · Physics 2022-03-29 Mikhail Maslov , Mikhail Lemeshko , Artem G. Volosniev

Effects of disorder on superconducting properties of noncentrosymmetric compounds are discussed. Elastic impurity scattering, even for scalar impurities, leads to a strongly anisotropic mixing of the electron states in the bands split by…

Superconductivity · Physics 2010-02-26 K. V. Samokhin
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