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We present a quantum transport theory for generic magnetic metals, in which magnetism occurs predominantly due to exchange interactions, such as ferromagnets, antiferromagnets, altermagnets and p-wave magnets. Our theory is valid both for…

Superconductivity · Physics 2025-06-11 Tim Kokkeler , Ilya Tokatly , F. Sebastian Bergeret

We derive the nonlinear $\sigma$-model to describe diffusive transport in normal metals and superconductors with intrinsic spin-orbit coupling (SOC). The SOC is described via an SU(2) gauge field, and we expand the model to the fourth order…

Superconductivity · Physics 2022-06-30 P. Virtanen , F. S. Bergeret , I. V. Tokatly

Conventional transport theory focuses on either the diffusive or ballistic regimes and neglects the crossover region between the two. In the presence of spin-orbit coupling, the transport equations are known only in the diffusive regime,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Andrei Bernevig , Jiangping Hu

Spin injection is a powerful experimental probe into a wealth of nonequilibrium spin-dependent phenomena displayed by materials with spin-orbit coupling (SOC). Here, we develop a theory of coupled spin-charge diffusive transport in…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Yu-Hsuan Lin , Chunli Huang , Manuel Offidani , Aires Ferreira , Miguel A. Cazalilla

We propose a general theory of charge, spin, and orbital diffusion based on Keldysh formalism. Our findings indicate that the diffusivity of orbital angular momentum in metals is much lower than that of spin or charge due to the strong…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Xiaobai Ning , A. Pezo , Kyoung-Whan Kim , Weisheng Zhao , Kyung-Jin Lee , Aurelien Manchon

We construct a unified semiclassical theory of charge and spin transport in chaotic ballistic and disordered diffusive mesoscopic systems with spin-orbit interaction. Neglecting dynamic effects of spin-orbit interaction, we reproduce the…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 I. Adagideli , Ph. Jacquod , M. Scheid , M. Duckheim , D. Loss , K. Richter

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

Superdiffusion is an anomalous transport behavior. Recently, a new mechanism, termed the ``nodal mechanism," has been proposed to induce superdiffusion in quantum models. However, existing realizations of the nodal mechanism have so far…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Shaofeng Huang , Yu-Peng Wang , Jie Ren , Chen Fang

We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a spin-orbit interaction. This situation…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Keiji Saito , Taro Nagao

A general form of the Hamiltonian for electrons confined to a curved one-dimensional (1D) channel with spin-orbit coupling (SOC) linear in momentum is rederived and is applied to a U-shaped channel. Discretizing the derived continuous 1D…

Mesoscale and Nanoscale Physics · Physics 2011-08-31 Ming-Hao Liu , Jhih-Sheng Wu , Son-Hsien Chen , Ching-Ray Chang

We generalize magnetoelectronic circuit theory to account for spin transfer to and from the atomic lattice via interfacial spin-orbit coupling. This enables a proper treatment of spin transport at interfaces between a ferromagnet and a…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 V. P. Amin , M. D. Stiles

Spin-orbit interactions in two-dimensional electron liquids are responsible for many interesting transport phenomena in which particle currents are converted to spin polarizations and spin currents and viceversa. Prime examples are the spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 K. Shen , R. Raimondi , G. Vignale

A complete set of the generalized drift-diffusion equations for a coupled charge and spin dynamics in ferromagnets in the presence of extrinsic spin-orbit coupling is derived from the quantum kinetic approach, covering major transport…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 C. O. Pauyac , M. Chshiev , A. Manchon , S. A. Nikolaev

Quantum transport through devices coupled to electron reservoirs can be described in terms of the full counting statistics (FCS) of charge transfer. Transport observables, such as conductance and shot-noise power are just cumulants of FCS…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 M I Sena-Junior , A M S Macêdo

Breaking of the inversion symmetry at the interface between different materials may dramatically enhance spin-orbit interaction in the vicinity of the interface. We incorporate the effects of this interfacial spin-orbit coupling (ISOC) into…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Juan Borge , Ilya V. Tokatly

Electronic spin-orbit coupling (SOC) is essential for various newly discovered phenomena in condensed-matter systems. In particular, one-dimensional topological heterostructures with SOC have been widely investigated in both theory and…

Superconductivity · Physics 2015-04-21 Kuei Sun , Nayana Shah

Correlation-driven metal-insulator transitions and temperature-driven quantum-coherent-to-incoherent crossovers in correlated electron systems underpin the doping, temperature and frequency-resolved evolution of physical responses.…

Strongly Correlated Electrons · Physics 2025-01-15 Gopal Prakash , S. R. Hassan , M. S. Laad , N. S. Vidhyadhiraja , T. V. Ramakrishnan

We consider spin and charge flow in normal metals. We employ the Keldysh formalism to find transport equations in the presence of spin-orbit interaction, interaction with magnetic impurities, and non-magnetic impurity scattering. Using the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. V. Shchelushkin , Arne Brataas

We consider the spin-orbit-induced spin Hall effect and spin swapping in diffusive superconductors. By employing the non-equilibrium Keldysh Green's function technique in the quasiclassical approximation, we derive coupled transport…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Camilla Espedal , Peter Lange , Severin Sadjina , A. G. Mal'shukov , Arne Brataas

We present a generalized extension of the recently developed electron/hole-transfer Dynamically-weighted State-Averaged Constrained CASSCF (eDSC/hDSC) method to model charge transfer in the presence of spin-orbit coupling (SOC) for systems…

Chemical Physics · Physics 2026-02-13 Alok Kumar , Zhen Tao , Joseph E. Subotnik , Tian Qiu
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