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This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

强关联电子 · 物理学 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

The traditional Kubo formula is generalized to describe the linear response with respect to non-Abelian fields. To fulfil the demand for studying spin transport, the SU(2) Kubo formulae are derived by two conventional approaches with…

介观与纳米尺度物理 · 物理学 2009-11-11 Pei-Qing Jin , You-Quan Li

To account for the anomalous/spin Hall conductivities and spin-orbit torque in the zeroth order of electron scattering time in strongly spin-orbit coupled systems, the Boltzmann transport theory in the case of weak disorder-potentials has…

介观与纳米尺度物理 · 物理学 2018-11-16 Cong Xiao , Jihang Zhu , Bangguo Xiong

A fully relativistic description of the spin-orbit induced spin Hall effect is presented that is based on Kubo's linear response formalism. Using an appropriate operator for the spin current density a Kubo-St\v{r}eda-like equation for the…

Non-Hermitian descriptions often model open or driven systems away from the equilibrium. Nonetheless, in equilibrium electronic systems, a non-Hermitian nature of an effective Hamiltonian manifests itself as unconventional observables such…

无序系统与神经网络 · 物理学 2023-06-14 Hiroki Isobe , Naoto Nagaosa

Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows…

介观与纳米尺度物理 · 物理学 2013-08-09 Christian Wickles , Wolfgang Belzig

The anomalous Hall effect (AHE) is a consequence of spin-orbit coupling in a ferromagnetic metal and is related primarily to density-matrix response to an electric field that is off-diagonal in band index. For this reason disorder…

介观与纳米尺度物理 · 物理学 2009-11-11 N. A. Sinitsyn , A. H. MacDonald , T. Jungwirth , V. K. Dugaev , Jairo Sinova

Effective spin-orbit (SO) Hamiltonians for conduction electrons in wurtzite heterostructures are lacking in the literature, in contrast to zincblende structures. Here we address this issue by deriving such an effective Hamiltonian valid for…

介观与纳米尺度物理 · 物理学 2020-04-22 J. Y. Fu , P. H. Penteado , D. R. Candido , G. J. Ferreira , D. P. Pires , E. Bernardes , J. C. Egues

We investigate some foundational issues in the quantum theory of spin transport, in the general case when the unperturbed Hamiltonian operator $H_0$ does not commute with the spin operator in view of Rashba interactions, as in the typical…

数学物理 · 物理学 2024-07-22 Giovanna Marcelli , Gianluca Panati , Stefan Teufel

Starting from the Kubo formula, we expand the Hall conductivity using a cumulant approach which converges quickly at high temperatures (k_BT > energy differences of initial and final scattering states) and can be extended to low…

其他凝聚态物理 · 物理学 2013-10-18 Louis-François Arsenault , B. Movaghar

We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows…

介观与纳米尺度物理 · 物理学 2019-11-06 Cong Xiao , Z. Z. Du , Qian Niu

We extend the semiclassical Boltzmann formalism for the anomalous Hall effect (AHE) in nondegenerate multiband electron systems to the spin Hall effect (SHE) and unconventional Edelstein effect (UEE, cannot be accounted for by the…

介观与纳米尺度物理 · 物理学 2018-04-19 Cong Xiao , Bangguo Xiong , Fei Xue

We study spin-orbit torques (SOT) in non-degenerate multiband electron systems in the weak disorder limit. In order to have better physical transparency a semiclassical Boltzmann approach equivalent to the Kubo diagrammatic approach in the…

介观与纳米尺度物理 · 物理学 2017-08-02 Cong Xiao , Qian Niu

For the spin Hall effect arising from strong band-structure spin-orbit coupling, a semiclassical Boltzmann theory reasonably addressing the intriguing disorder effect called side-jump is still absent. In this paper we describe such a theory…

介观与纳米尺度物理 · 物理学 2017-09-27 Cong Xiao

We revise the Kubo formula for the electric dc conductivity in the presence of spin-orbit coupling (SOC). We discover that each velocity operator that enters this formula differs from $\partial H/\partial \boldsymbol p$, where $H$ is the…

介观与纳米尺度物理 · 物理学 2024-03-12 I. A. Ado , M. Titov , Rembert A. Duine , Arne Brataas

We investigate the Drude model of spin dynamics in two-dimensional spin-orbit coupled systems. In the absence of an applied electric field, the spin aligns with the k-dependent effective magnetic field. The influence of disorder (the…

介观与纳米尺度物理 · 物理学 2020-12-14 Tsung-Wei Chen , Hsiu-Chuan Hsu

In this work, we study the spin Hall effect and Rashba-Edelstein effect of a 2D Weyl fermion system in the clean limit using the Kubo formalism. Spin transport is solely due to the spin-torque current in this strongly spin-orbit coupled…

介观与纳米尺度物理 · 物理学 2018-08-15 T. Tzen Ong , Naoto Nagaosa

The late-time dynamics of quantum many-body systems is organized in distinct dynamical universality classes, characterized by their conservation laws and thus by their emergent hydrodynamic transport. Here, we study transport in the…

量子气体 · 物理学 2022-08-30 Philip Zechmann , Alvise Bastianello , Michael Knap

We investigate spin transport in 2-dimensional insulators, with the long-term goal of establishing whether any of the transport coefficients corresponds to the Fu-Kane-Mele index which characterizes 2d time-reversal-symmetric topological…

数学物理 · 物理学 2019-09-09 Giovanna Marcelli , Gianluca Panati , Clément Tauber

Quantum transport studies of spin-dependent phenomena in solids commonly employ the Kubo or Keldysh formulas for the nonequilibrium density operator in the steady-state linear-response regime. Its trace with operators of interest, such as…

介观与纳米尺度物理 · 物理学 2025-12-30 Simao M. Joao , Marko D. Petrovic , J. M. Viana Parente Lopes , Aires Ferreira , Branislav K. Nikolic
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