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We develop a theory of quasiparticle localization in superconductors in situations without spin rotation invariance. We discuss the existence, and properties of superconducting phases with localized/delocalized quasiparticle excitations in…

Superconductivity · Physics 2009-10-31 T. Senthil , Matthew P. A. Fisher

Twistor string models have been known for more than a decade now but have come back under the spotlight recently with the advent of the scattering equation formalism which has greatly generalized the scope of these models. A striking…

High Energy Physics - Theory · Physics 2018-03-21 Eduardo Casali , Piotr Tourkine

We present a systematic formulation of scattering theory for nonlinear interactions in one dimension and develop a nonlinear generalization of the transfer matrix that has a composition property similar to its linear analog's. We offer…

Quantum Physics · Physics 2019-01-25 Ali Mostafazadeh

Based on our previous study [IS2] we develop fully the stationary scattering theory for the Schrodinger operator on a manifold possessing an escape function. A particular class of examples are manifolds with Euclidean and/or hyperbolic…

Mathematical Physics · Physics 2016-04-12 K. Ito , E. Skibsted

We develop a theory of extrinsic spin currents in semiconductors, resulting from spin-orbit coupling at charged scatterers, which leads to skew scattering and side jump contributions to the spin Hall conductance. Applying the theory to bulk…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hans-Andreas Engel , Bertrand I. Halperin , Emmanuel I. Rashba

The review chapter starts by a pedagogical introduction to the general concept of the scattering theory: from the fundamental wave-function picture to the second-quantization language, with the aim to clear possible ambiguity in…

Mesoscale and Nanoscale Physics · Physics 2010-11-17 Rui Zhu

The polarization of radiation by scattering on an atom embedded in combined external quadrupole electric and uniform magnetic fields is studied theoretically. Limiting cases of scattering under Zeeman effect and Hanle effect in weak…

Astrophysics · Physics 2015-06-24 Yee Yee Oo , M. Sampoorna , K. N. Nagendra , Sharath Ananthamurthy , G. Ramachandran

Between many prominent contributions of Markus Buttiker to mesoscopic physics, the scattering theory approach to the electron transport and noise stands out for its elegance, simplicity, universality, and popularity between theorists…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Eugene V. Sukhorukov

We show that, after a transformation, the dynamics of linear perturbations (spin waves) around a singular Bloch point soliton is formally equivalent to a quantum system of an electron in a magnetic monopole field. The analytical solution to…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 R. G. Elías , V. L. Carvalho-Santos , A. S. Núñez , A. D. Verga

Details are presented of an efficient formalism for calculating transmission and reflection matrices from first principles in layered materials. Within the framework of spin density functional theory and using tight-binding muffin-tin…

Materials Science · Physics 2015-06-25 K. Xia , M. Zwierzycki , M. Talanana , P. J. Kelly , G. E. W. Bauer

We develop a scattering theory of current-induced forces exerted by the conduction electrons of a general mesoscopic conductor on slow "mechanical" degrees of freedom. Our theory describes the current-induced forces both in and out of…

Mesoscale and Nanoscale Physics · Physics 2011-07-12 Niels Bode , Silvia Viola Kusminskiy , Reinhold Egger , Felix von Oppen

We present a scattering theory for the efficient transmission of an excitation across a finite network with designed disorder. We show that the presence of randomly positioned networks sites allows to significantly accelerate the excitation…

Quantum Physics · Physics 2017-11-22 Mattia Walschaers , Roberto Mulet , Andreas Buchleitner

The interaction of a spin wave with a stationary Bloch point is studied. The topological non-trivial structure of the Bloch point manifests in the propagation of spin waves endowing them with a gauge potential that resembles the one…

Mesoscale and Nanoscale Physics · Physics 2015-09-10 Vagson L. Carvalho-Santos , Ricardo Gabriel Elías , Alvaro S. Núñez

By adding generalizations involving translations, the machinery of the quantum theory of free fields leads to the semiclassical equations of motion for a charged massive particle in electromagnetic and gravitational fields. With the…

General Physics · Physics 2015-07-07 Richard Shurtleff

We propose an extension of the Landauer-Buttiker scattering theory to include effects of interaction in the active region of a mesoscopic conductor structure. The current expression obtained coincides with those derived by different…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Nam Do , P. Dollfus , V. L. Nguyen

Transport properties of a two-band system with spectral nodes are studied in the presence of random scattering. Starting from a Grassmann functional integral, we derive a bosonic representation that is based on random phase fluctuations.…

Disordered Systems and Neural Networks · Physics 2015-01-22 K. Ziegler

In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite…

Mathematical Physics · Physics 2008-11-26 H. Gottschalk

Electrical transport in graphene offers a fascinating parallel to spin transport in semiconductors including the spin-Hall effect. In the weak momentum scattering regime the steady-state density matrix contains two contributions, one linear…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dimitrie Culcer , R. Winkler

Scattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors that are driven by oscillating electric or magnetic…

Statistical Mechanics · Physics 2020-06-01 Kay Brandner

We investigate the reflection coefficient of spin waves propagating in an ultra-thin ferromagnetic film with regions where saturation magnetization is modulated. We find analytically and using micromagnetic simulations that there are…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Pablo Borys , Naser Qureshi , Cesar Ordonez-Romero , Oleg Kolokoltsev