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We discuss the tunneling spectroscopy at a surface in multi-band systems such as Fe-based superconductors with the use of the quasiclassical approach. We extend the single-band method by Matsumoto and Shiba [J. Phys. Soc. Jpn. 64, 1703…

Superconductivity · Physics 2009-06-10 Yuki Nagai , Nobuhiko Hayashi

Marchenko methods are based on integral representations which express Green's functions for virtual sources and/or receivers in the subsurface in terms of the reflection response at the surface. An underlying assumption is that inside the…

Geophysics · Physics 2021-06-22 Kees Wapenaar , Roel Snieder , Sjoerd de Ridder , Evert Slob

The paper presents a novel view on the scattering of a flexural wave in a Kirchhoff plate by a semi-infinite discrete system. Blocking and channelling of flexural waves are of special interest. A quasi-periodic two-source Green's function…

Classical Physics · Physics 2015-10-12 Ian S. Jones , Natalia V. Movchan , Alexander B. Movchan

Learning the Green's function using deep learning models enables to solve different classes of partial differential equations. A practical limitation of using deep learning for the Green's function is the repeated computationally expensive…

Machine Learning · Computer Science 2023-08-02 Kishan Wimalawarne , Taiji Suzuki , Sophie Langer

We consider Novikov problem of the classification of level curves of quasiperiodic functions on the plane and its connection with the conductivity of two-dimensional electron gas in the presence of both orthogonal magnetic field and the…

Condensed Matter · Physics 2021-05-04 Andrei Ya. Maltsev

Recently we have described materials interface transport coupling rigorously utilizing NEGF nonequilibrium Green's functions, and have discussed the Hamiltonian terms that from Green's theorem and boundary conditions can be rewritten as…

Statistical Mechanics · Physics 2010-05-21 Fredrick Michael

Using a variant of Schreier's Theorem, and the theory of Green's relations, we show how to reduce the computation of an arbitrary subsemigroup of a finite regular semigroup to that of certain associated subgroups. Examples of semigroups to…

Rings and Algebras · Mathematics 2018-08-24 J. East , A. Egri-Nagy , J. D. Mitchell , Y. Péresse

Currently, the superconducting diode effect (SDE) is actively discussed due to large application potential in superconducting electronics. In particular, the superconducting hybrid structures based on three-dimensional (3D) topological…

We present the analytical solution in closed form for the semiclassical limit of the quantum mechanical Coulomb Green function in position space in n dimensions. We utilize a projection method which has its roots in Lambert's theorem and…

Quantum Physics · Physics 2009-07-05 Vassiliki Kanellopoulos , Manfred Kleber , Tobias Kramer

We present a numerically efficient technique to evaluate the Green's function for extended two dimensional systems without relying on periodic boundary conditions. Different regions of interest, or `patches', are connected using self energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikkel Settnes , Stephen R. Power , Jun Lin , Dirch H. Petersen , Antti-Pekka Jauho

The idea of raising Tc in the spin-fluctuation mediated superconductivity on disconnected Fermi surfaces with the gap function changing sign across but not within the Fermi pockets, proposed by Kuroki and Arita for two dimensions (2D), is…

Superconductivity · Physics 2010-02-17 S. Onari , R. Arita , K. Kuroki , H. Aoki

Measurement of multiple Andreev reflection (MAR) in a Josephson junction made from an InAs heterostructure with epitaxial aluminum is used to quantify the highly transparent semiconductor-superconductor interface, indicating near-unity…

Mesoscale and Nanoscale Physics · Physics 2017-03-31 M. Kjaergaard , H. J. Suominen , M. P. Nowak , A. R. Akhmerov , J. Shabani , C. J. Palmstrøm , F. Nichele , C. M. Marcus

Let S be a semigroup and let T be a subsemigroup of S. Then T acts on S by left- and by right multiplication. This gives rise to a partition of the complement of T in S, and to each equivalence class of this partition we naturally associate…

Group Theory · Mathematics 2009-12-08 Alan J. Cain , Robert Gray , Nik Ruskuc

A Green's function formalism is used to calculate the spectrum of localized modes of an impurity layer implanted within a ferromagnetic thin film. The equations of motion for the Green's functions are determined in the framework of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. V. Leite , B. T. F. Morais , J. Milton Pereira , R. N. Costa Filho

For half a century, Mackey and Green functors have been successfully used to model the induction and restriction maps which are ubiquitous in the representation theory of finite groups. In the examples, the latter maps are typically…

Representation Theory · Mathematics 2024-07-16 Ivo Dell'Ambrogio

Using an approach based on quasiclassical Green's functions we present a theoretical study of transport in mesoscopic S/N structures in the diffusive limit. The subgap conductance in S/N structures with barriers (zero bias and finite bias…

Superconductivity · Physics 2009-10-31 A. F. Volkov , V. V. Pavlovskii , R. Seviour

A semiclassical theory of single and multi-mode lasing is derived for open complex or random media using a self-consistent linear response formulation. Unlike standard approaches which use closed cavity solutions to describe the lasing…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hakan E. Tureci , A. Douglas Stone , B. Collier

The energy dependent Green's function for an interface Hamiltonian which interpolates between two and three dimensions can be calculated explicitly. This yields an expression for the density of states on the interface which interpolates…

Other Condensed Matter · Physics 2009-11-13 R. Dick

The concept of a $\Gamma$-semigroup has been introduced by Mridul Kanti Sen in the Int. Symp., New Delhi, 1981. It is well known that the Green's relations play an essential role in studying the structure of semigroups. In the present paper…

General Mathematics · Mathematics 2017-04-19 Niovi Kehayopulu

The flat metasurfaces described by tensor surface conductivity, the transverse size of which is small compared to the wavelength, are considered. In this case, we introduce two-dimensional surface conductivity for them, as well as for…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Michael V. Davidovich