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Related papers: Spin Hall conductivity in insulators with non-cons…

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The spin Hall effect (SHE) is normally discussed in terms of a spin current, which is ill-defined in strongly spin-orbit-coupled systems because of spin non-conservation. In this work we propose an alternative view of SHE phenomena by…

Mesoscale and Nanoscale Physics · Physics 2019-05-16 Hua Chen , Qian Niu , Allan H. MacDonald

We investigate spin transport in a class of time-reversal symmetric insulators on the honeycomb structure, the Kane--Mele model being an emblematic example in this class. We derive the spin conductivity by the linear response \`a la Kubo…

Mathematical Physics · Physics 2026-02-19 Luca Fresta , Giovanna Marcelli

We consider a disordered topological insulator thin film placed on the top of a ferromagnetic insulator with a perpendicular exchange field $M$ and subjected to a perpendicular electric field. The presence of ferromagnetic insulator causes…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Siamak Pooyan , Mir Vahid Hosseini

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…

Mathematical Physics · Physics 2019-09-09 Giovanna Marcelli , Gianluca Panati , Clément Tauber

The spin Hall and longitudinal conductivity of a 2D heavy-hole gas with {\it k}-cubic Rashba and Dresselhaus spin-orbit interaction is studied in the ac frequency domain. Using Kubo linear-response theory and a recently proposed definition…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Arturo Wong , Francisco Mireles

We consider a 2-dimensional Bloch--Landau--Pauli Hamiltonian for a spinful electron in a constant magnetic field subject to a periodic background potential. Assuming that the $z$-component of the spin operator is conserved, we compute the…

Mathematical Physics · Physics 2023-02-06 Domenico Monaco , Massimo Moscolari

Using the recently proposed definition of a conserved spin-current operator [J. Shi et al., Phys. Rev. Lett. 96, 076604 (2006)] we explore the frequency dependent spin Hall conductivity for a two-dimensional electron gas with Rashba and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Arturo Wong , Jesus A. Maytorena , Catalina Lopez-Bastidas , Francisco Mireles

The magnetic spin Hall effect is a time-reversal-odd phenomenon in which spin current is induced by the charge current. In the presence of a spin-orbit coupling and/or noncolinear magnetism, however, spin current is not uniquely defined.…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Atsuo Shitade

We present an exact derivation for non-commuting coordinates induced by the SU(2) transformation used to diagonalize the spin-orbit hamiltonian in two dimension.As a result an exact non-dissipative Hall current less sensitive to disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Schmeltzer

We study the spin conductivity of the bulk states of three-dimensional topological insulators within Kubo formalism. Spin Hall effect is the generation of the spin current that is perpendicular to the applied voltage. In the case of a…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 R. S. Akzyanov

We present a detailed microscopic theory of the conserved spin current which is introduced by us [Phys. Rev. Lett. \textbf{96}, 196602 (2006)] and satisfies the spin continuity equation even for spin-orbit coupled systems. The spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ping Zhang , Zhigang Wang , Junren Shi , Di Xiao , Qian Niu

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…

Quantum spin Hall (QSH) insulators are two-dimensional electronic materials that have a bulk band gap like an ordinary insulator but have topologically protected pairs of edge modes of opposite chiralities. To date, experimental studies…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Kaifei Kang , Bowen Shen , Yichen Qiu , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

A theory based on the Aharonov -Bohm effect in the momentum space for the Spin-Hall conductivity without a magnetic field is presented. The two dimensional Rashba Hamiltonian is diagonalized in the momentum spinor basis. This spinor is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Schmeltzer

We consider a two-dimensional electron system subjected to a short-ranged nonmagnetic disorder potential, Coulomb interactions, and Rashba spin-orbit coupling. The path-integral approach incorporated within the Keldysh formalism is used to…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Maxim Dzero , Alex Levchenko

We study the spin Hall effect taking into account the impurity scattering effect as general as possible with the focus on the definition of the spin current. The conserved bulk spin current (Shi et al. [Phys. Rev. Lett. 96, 076604 (2006)])…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Naoyuki Sugimoto , Shigeki Onoda , Shuichi Murakami , Naoto Nagaosa

The intrinsic spin Hall conductivity in a two dimensional electron gas with Rashba spin-orbit coupling is evaluated by taking account of anisotropic coupling between magnetic impurities and itinerant electrons. In our calculation Kubo's…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Pei Wang , You-Quan Li , Xuean Zhao

We present an extension of the relativistic electron transport theory for the standard (charge) conductivity tensor of random alloys within the tight-binding linear muffin-tin orbital method to the so-called spin-dependent conductivity…

Materials Science · Physics 2019-11-18 Ilja Turek , Josef Kudrnovsky , Vaclav Drchal

Quantum Spin-Hall systems are topological insulators displaying dissipationless spin currents flowing at the edges of the samples. In contradistinction to the Quantum Hall systems where the charge conductance of the edge modes is quantized,…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Emil Prodan

The Kubo formula is used to calculate the spin-Hall conductivity in a spin-polarized two-dimensional electron system with Rashba-type spin-orbit interaction. As in the case of the unpolarized electron system, spin Hall conductivity is…

Materials Science · Physics 2009-11-13 C. P. Moca , D. C. Marinescu
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