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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…

Mesoscale and Nanoscale Physics · Physics 2018-11-16 Cong Xiao , Jihang Zhu , Bangguo Xiong

The semiclassical Boltzmann equation is widely used to study transport effects. However, being semiclassical and borrowing heavily from classical mechanics, the formalism calls for verification from the perspective of quantum mechanics.…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Da Ma , Zhi-Fan Zhang , Hua Jiang , X. C. Xie

Recent work has revealed a general procedure for incorporating disorder into the semiclassical model of carrier transport, whereby the predictions of quantum linear response theory can be recovered within a quantum kinetic approach based on…

Mesoscale and Nanoscale Physics · Physics 2025-03-10 M. Mehraeen

Electrical transport in semiconductor superlattices is studied within a fully self-consistent quantum transport model based on nonequilibrium Green functions, including phonon and impurity scattering. We compute both the drift…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Wacker , A. -P. Jauho , S. Rott , A. Markus , P. Binder , G. H. D"ohler

In a superconductor coupled with a ferromagnetic metal, spin and charge imbalances can be induced by injecting spin-polarized electron current from the ferromagnetic metal. We theoretically study a nonequilibrium distribution of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yositake Takane

For a system of non-interacting electrons scattered by neutral impurities, we derive a modified Boltzmann equation that includes quasiparticle and virial corrections. We start from quasiclassical transport equation for non-equilibrium…

Disordered Systems and Neural Networks · Physics 2009-10-31 Václav Špička , Pavel Lipavský , Klaus Morawetz

Bloch-Boltzmann transport theory fails to describe the carrier diffusion in current crystalline organic semiconductors, where the presence of large-amplitude thermal molecular motions causes substantial dynamical disorder. The charge…

Materials Science · Physics 2020-01-08 S. Fratini , S. Ciuchi

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…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Cong Xiao , Z. Z. Du , Qian Niu

Charge transport in organic semiconductors is notoriously extremely sensitive to the presence of disorder, both intrinsic and extrinsic, especially for n-type materials. Intrinsic dynamic disorder stems from large thermal fluctuations both…

Motivated by the increasing number of systems featuring multiple bands at low energy, we address the Boltzmann approach to transport in a multiband weakly disordered noninteracting crystal subject to a small electric field. In general, the…

Mesoscale and Nanoscale Physics · Physics 2022-03-01 Marco Marciani , Lara Benfatto

Interband effects such as coherence/tunneling have recently been shown to give an important contribution to the charge and heat transport properties under certain conditions. These can be captured by adding corrective terms to the…

Materials Science · Physics 2025-12-05 Elena Trukhan , Nakib H. Protik

We consider the corrections to the Boltzmann theory of electrical transport arising from the Coulomb interaction in disordered conductors. In this article the theory is formulated in terms of quasiclassical Green's functions. We demonstrate…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Schwab , R. Raimondi

A system of drift-diffusion equations with electric field under Dirichlet boundary conditions is analyzed. The system of strongly coupled parabolic equations for particle density and spin density vector describes the spin-polarized…

Analysis of PDEs · Mathematics 2014-02-26 Nicola Zamponi

We present a general formalism for investigating the second-order optical response of solids to an electric field in weakly disordered crystals with arbitrarily complicated band structures based on density-matrix equations of motion, on a…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Amin Maleki Sheikhabadi , Zahra Bagheri , Ali Sadeghi

The interplay between electronic interactions and disorder is neglected in the conventional Boltzmann theory of transport, yet can play an essential role in determining the resistivity of unconventional metals. When quasiparticles are…

Strongly Correlated Electrons · Physics 2018-01-10 Andrew Lucas , Sean A. Hartnoll

Spin transport properties at finite electric and magnetic fields are studied by using the generalized semiclassical Boltzmann equation. It is found that the spin diffusion equation for non-equilibrium spin density and spin currents involves…

Materials Science · Physics 2009-11-07 Y. Qi , S. Zhang

Mean-field theory of non-interacting disordered electron systems is widely and successfully used to describe equilibrium properties of alloys in the whole range of disorder strengths. It, however, fails to take into account effects of…

Disordered Systems and Neural Networks · Physics 2013-04-23 V. Pokorny , V. Janis

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Elio J. König , Alex Levchenko

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

One of the fundamental properties of semiconductors is their ability to support highly tunable electric currents in the presence of electric fields or carrier concentration gradients. These properties are described by transport coefficients…

Materials Science · Physics 2020-02-19 Samuel Poncé , Wenbin Li , Sven Reichardt , Feliciano Giustino
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