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We present a comprehensive quasiclassical approach for studying transport properties of superconducting diffusive hybrid structures in the presence of extrinsic spin-orbit coupling. We derive a generalized Usadel equation and boundary…

超导电性 · 物理学 2016-11-16 F. S. Bergeret , I. V. Tokatly

In the seminal work by G. Eilenberger [Z. Phys. 214, 195 (1968)], the quasiclassical expression for the free energy of spin-singlet superconductor has been suggested. Starting from the Luttinger-Ward formulation we derive the Eilenberger…

超导电性 · 物理学 2020-03-09 Pauli Virtanen , Artjom Vargunin , Mikhail Silaev

We investigate the relationship between the covariant and the three-dimensional (equal-time) formulations of quantum kinetic theory. We show that the three-dimensional approach can be obtained as the energy average of the covariant…

核理论 · 物理学 2016-09-08 P. Zhuang , U. Heinz

We derive microscopic expressions for the bulk viscosity, shear viscosity and thermal conductivity of a quantum degenerate Bose gas above $T_C$, the critical temperature for Bose-Einstein condensation. The gas interacts via a contact…

量子气体 · 物理学 2013-04-24 Erich D. Gust , L. E. Reichl

We present a unified transport theory of hybrid structures, in which a confined normal state ($N$) sample is sandwiched between two leads each of which can be either a ferromagnet ($F$) or a superconductor ($S$) via tunnel barriers. By…

介观与纳米尺度物理 · 物理学 2009-11-10 Z. Y. Zeng , Baowen Li , F. Claro

Dynamical magnets can pump spin currents into superconductors. To understand such a phenomenon, we develop a method utilizing the generalized Usadel equation to describe time-dependent situations in superconductors in contact with dynamical…

超导电性 · 物理学 2023-07-13 Haakon T. Simensen , Lina G. Johnsen , Jacob Linder , Arne Brataas

We derive the quasiclassical non-equilibrium Eilenberger and Usadel equations to first order in quantities small compared to the Fermi energy, valid for Dirac edge and surface electrons with spin-momentum locking, as relevant for…

介观与纳米尺度物理 · 物理学 2017-06-15 Henning G. Hugdal , Jacob Linder , Sol H. Jacobsen

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…

超导电性 · 物理学 2007-05-23 Jan Petter Morten , Arne Brataas , Wolfgang Belzig

The time-dependent Ginzburg-Landau equation and the Boltzmann transport equation for one-dimensional charge-density-wave (CDW) conductors are derived from a microscopic model by applying the Keldysh Green's function approach under a…

强关联电子 · 物理学 2016-08-24 Yositake Takane , Masahiko Hayashi , Hiromichi Ebisawa

We consider a two dimensional semiconductor with carriers subject to spin-orbit interactions and scattered by randomly distributed magnetic impurities. We solve the time-dependent Schroedinger equation to investigate the relationship…

介观与纳米尺度物理 · 物理学 2017-08-23 T. L. van den Berg , A. Verga

We propose the general multi-band quasiclassical Eilenberger theory of superconductivity to describe quasiparticle excitations in inhomogeneous systems. With the use of low-energy projection matrix, the $M$-band quasiclassical Eilenberger…

超导电性 · 物理学 2016-07-08 Yuki Nagai , Hiroki Nakamura

I present a review of the theory and basic equations for charge transport in superconducting alloys starting from the Keldysh formulation of the quasiclassical transport equations developed by Eilenberger, Larkin and Ovchinnikov and…

超导电性 · 物理学 2022-03-30 J. A. Sauls

The circuit theory of mesoscopic transport provides a unified framework to describe spin-dependent or superconductivity-related phenomena. We extend this theory to hybrid systems of normal metals, ferromagnets and superconductors. Our main…

超导电性 · 物理学 2009-11-27 Daniel Huertas-Hernando , Yu. V. Nazarov , W. Belzig

We derive quantum Boltzmann equations from Schwinger-Dyson equations in gradient expansion for a weakly coupled scalar field theory with a spatially varying mass. We find that at higher order in gradients a full description of the system…

高能物理 - 唯象学 · 物理学 2009-10-31 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

The diagrammatic formalism and transport equation are conventionally considered as separate but complementary techniques to tackle the impurity scattering effect. To compare with the previous studies from the gauge-invariant kinetic…

超导电性 · 物理学 2022-10-25 F. Yang , M. W. Wu

We present a theoretical study of the quasiparticle and subgap conductance of generic $X/I_{sf}/S_{M}$ junction with a spin-filter barrier $I_{sf}$, where $X$ is either a normal $N$ or a ferromagnetic metal $F$ and $S_{M}$ is a…

超导电性 · 物理学 2015-06-12 F. S. Bergeret , A. Verso , A. F. Volkov

We study dc-transport and magnetization dynamics in a junction of arbitrary transparency consisting of two spin-singlet superconducting leads connected via a single classical spin precessing at the frequency $\Omega$. The presence of the…

介观与纳米尺度物理 · 物理学 2010-05-06 S. Teber , C. Holmqvist , M. Fogelstrom

We derive a microscopic transport theory of multiterminal hybrid structures in which a superconductor is connected to several spin-polarized electrodes. We discuss the non-perturbative physics of extended contacts, and show that it can be…

介观与纳米尺度物理 · 物理学 2009-11-07 R. Mélin , D. Feinberg

We derive a formula for the current through an interacting quantum dot coupled to two supercouducting leads, using the non-equilibrium Green's function formalism. It is shown that the formula takes an especially simple form, when the…

介观与纳米尺度物理 · 物理学 2009-10-31 Kicheon Kang

A fourth-order Schr\"{o}dinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the dispersion relation in order to go beyond the simple…

数学物理 · 物理学 2025-07-15 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano