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We study the scattering dynamics of an $n$-component spinor wavefunction in a random environment on a two-dimensional lattice. In the presence of particle-hole symmetry we find diffusion on large scales. The latter is described by a…

Disordered Systems and Neural Networks · Physics 2012-07-30 K. Ziegler

The scattering theory of quantum transport relates transport properties of disordered mesoscopic conductors to their transfer matrix $\bbox{T}$. We introduce a novel approach to the statistics of transport quantities which expresses the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Endesfelder

Scattering theory in the Gell-Mann and Goldberger formulation is slightly extended to render a Hamiltonian quantum mechanical description of the neutrino oscillations.

High Energy Physics - Phenomenology · Physics 2012-06-14 Stanisław D. Głazek , Arkadiusz P. Trawiński

We employ the Keldysh formalism in the quasiclassical approximation to study transport in a diffusive superconductor. The resulting 4x4 transport equations describe the flow of charge and energy as well as the corresponding flow of spin and…

Superconductivity · Physics 2007-05-23 Jan Petter Morten , Arne Brataas , Wolfgang Belzig

The spin diffusion/transport in $n$-type (001) GaAs quantum well at high temperatures ($\ge120$ K) is studied by setting up and numerically solving the kinetic spin Bloch equations together with the Poisson equation self-consistently. All…

Materials Science · Physics 2007-05-23 J. L. Cheng , M. W. Wu

The transmission of a dipole-dominated spin wave in a ferromagnetic film through a localised inhomogeneity in the form of a magnetic field produced by a dc current through a wire placed on the film surface was studied experimentally and…

Materials Science · Physics 2009-03-05 M. P. Kostylev , A. A. Serga , T. Schneider , B. Leven , B. Hillebrands , R. L. Stamps

We continue our study of scattering theory and dispersive properties for one-dimensional charge transfer models, namely linear Schr\"odinger equations with multiple moving potentials. By the discovery of a refined structure of the…

Analysis of PDEs · Mathematics 2025-10-15 Gong Chen , Abdon Moutinho

We develop a comprehensive description of static and dynamic spin-transfer torque at interfaces between a normal metal and a magnetic material. Specific examples of the latter include ferromagnets, collinear and noncollinear…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Yaroslav Tserkovnyak , Hector Ochoa

Neutron scattering is used to characterise the magnetism of the vortices for the optimally doped high-temperature superconductor La(2-x)Sr(x)CuO(4) (x=0.163) in an applied magnetic field. As temperature is reduced, low frequency spin…

Strongly Correlated Electrons · Physics 2016-08-16 B Lake , G Aeppli , KN Clausen , DF McMorrow , K Lefmann , NE Hussey , N Mangkorntong , M Nohara , H Takagi , TE Mason , A Schröder

Skew scattering of electrons induced by a spin cluster is studied theoretically focusing on metals with localized magnetic moments. The scattering probability is calculated by a non-perturbative $T$ matrix method; this method is valid for…

Mesoscale and Nanoscale Physics · Physics 2021-08-31 Hiroaki Ishizuka , Naoto Nagaosa

The scattering theory of transport has to be applied with care in a diffuse environment. Here we discuss how the scattering matrices of heterointerfaces can be used to compute interface resistances of dirty magnetic multilayers. First…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Gerrit E. W. Bauer , Kees M. Schep , Ke Xia , Paul J. Kelly

Scattering theory has been suggested as a convenient method to identify topological phases of matter, in particular of disordered systems for which the Bloch band-theory approach is inapplicable. Here we examine this idea, employing as a…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Zhi-Hai Liu , O. Entin-Wohlman , A. Aharony , J. Q. You , H. Q. Xu

High-temperature superconductivity in both the copper-oxide and the iron-pnictide/chalcogenide systems occurs in close proximity to antiferromagnetically ordered states. Neutron scattering has been an essential technique for characterizing…

Superconductivity · Physics 2013-12-04 John M. Tranquada , Guangyong Xu , Igor A. Zaliznyak

Spin-dependent electron transport in a periodically stubbed quantum wire in the presence of Rashba spin-orbit interaction (SOI) is studied via the nonequilibrium Green's function method combined with the Landauer-Buttiker formalism. The…

Mesoscale and Nanoscale Physics · Physics 2014-02-20 Xianbo Xiao , Zhaoxia Chen , Zhiming Rao , Wenjie Nie , Guanghui Zhou

We construct a theory of charge transport by the surface states of topological insulators in three dimensions. The focus is on the experimentally relevant case when the electron doping is such that the Fermi energy $\epsilon_F$ and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Dimitrie Culcer , E. H. Hwang , Tudor D. Stanescu , S. Das Sarma

It is generally accepted that vortex core is charged, what illustrates that even in stationary superconductors electric field may be present. Vortex structure and other properties of superconductors are usually calculated in the framework…

Superconductivity · Physics 2009-11-07 Jan Kolacek , Pavel Lipavsky

Spin wave, the collective excitation of magnetic order, is one of the fundamental angular momentum carriers in magnetic systems. Understanding the spin wave propagation in magnetic textures lies in the heart of developing pure magnetic…

Materials Science · Physics 2021-06-09 Jin Lan , Weichao Yu , Jiang Xiao

The spectral and scattering theory is investigated for a generalization, to scattering metrics on two-dimensional compact manifolds with boundary, of the class of smooth potentials on the Euclidean plane which are homogeneous of degree zero…

Analysis of PDEs · Mathematics 2007-05-23 Andrew Hassell , Richard B. Melrose , András Vasy

By decoupling the geometric from the dynamical contributions in the scattering processes, we develop a method to compute the scattering matrix of electrons in a one-dimensional coherent conductor connected to two electrodes. In particular,…

Quantum Physics · Physics 2025-12-10 Lorenzo Bagnasacco , Fabio Taddei , Vittorio Giovannetti

We consider mathematical models of the weak decay of the vector bosons $W^{\pm}$ into leptons. The free quantum field hamiltonian is perturbed by an interaction term from the standard model of particle physics. After the introduction of…

Mathematical Physics · Physics 2018-10-04 Benjamin Alvarez , Jérémy Faupin