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We theoretically investigate a two-dimensional harmonically-trapped gas of identical atoms with Rashba spin-orbit coupling and no interatomic interactions. In analogy with the spin Hall effect in uniform space, the gas exhibits a spin Hall…

Quantum Gases · Physics 2017-11-28 J. Armaitis , J. Ruseckas , H. T. C. Stoof , R. A. Duine

The spin Hall (SH) effect is a phenomenon in which the spin current flows perpendicular to an applied electric field and causes the spin accumulation at the boundaries. However, in the presence of spin-orbit couplings, the spin current is…

Mesoscale and Nanoscale Physics · Physics 2022-05-13 Atsuo Shitade , Gen Tatara

Graphene consists in a single-layer carbon crystal where 2$p_z$ electrons display a linear dispersion relation in the vicinity of the Fermi level, conveniently described by a massless Dirac equation in $2+1$ spacetime. Spin-orbit effects…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 B. Berche , F. Mireles , E. Medina

A model with both Rashba and Dresselhaus spin orbit (SO) couplings and Hubbard electron-electron interaction is studied on planar strips at quarter filling at zero temperature in the clean limit. In the absence of Hubbard repulsion and at…

Strongly Correlated Electrons · Physics 2018-02-06 Jose A. Riera

In 2010, quantum anomalous Hall effect (QAHE) in graphene was proposed in the presence of Rashba spin-orbit coupling and ferromagnetic exchange field. After a decade's experimental exploration, the anomalous Hall conductance can only reach…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 Yulei Han , Zhi Yan , Zeyu Li , Xiaohong Xu , Zhenyu Zhang , Qian Niu , Zhenhua Qiao

We study theoretically the quantum transport properties of the Dirac fermions with spin-orbit interactions (SOIs) in graphene by using the method of Schwinger proper time together with decomposition over Landau level poles and Kubo formula.…

Mesoscale and Nanoscale Physics · Physics 2008-08-09 Kai-He Ding , Guanghui Zhou , Zhen-Gang Zhu

We present a methodology to address, from first principles, charge-spin interconversion in two-dimensional materials with spin-orbit coupling. Our study relies on an implementation of density functional theory based quantum transport…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Maedeh Rassekh , Hernán Santos , Andrea Latge , Leonor Chico , Saber Farjami Shayesteh , Juan Jose Palacios

We consider a dilute fluorinated graphene nanoribbon as a spin-active element. The fluorine adatoms introduce a local spin-orbit Rashba interaction that induces spin-precession for electron passing by. In the absence of the external…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Bartlomiej Rzeszotarski , Alina Mrenca-Kolasinska , Bartlomiej Szafran

Spin, anomalous, and valley Hall effects in graphene-based hybrid structures are studied theoretically within the Green function formalism and linear response theory. Two different types of hybrid systems are considered in detail: (i)…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 A. Dyrdał , J. Barnaś

We study the local equilibrium properties of two-dimensional electron gases at high magnetic fields in the presence of random smooth electrostatic disorder, Rashba spin-orbit coupling, and the Zeeman interaction. Using a systematic magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 Daniel Hernangomez-Perez , Serge Florens , Thierry Champel

We study the spin-Hall effect in systems with weak cubic Rashba spin-orbit interaction. To this end we derive particle and spin diffusion equations and explicit expressions for the spin-current tensor in the diffusive regime. We discuss the…

Disordered Systems and Neural Networks · Physics 2009-11-11 O. Bleibaum , S. Wachsmuth

We consider a straight one-dimensional potential step created across a graphene flake. Charge and spin transport through such a potential step are studied in the presence of both intrinsic and extrinsic (Rashba) spin-orbit coupling (SOC).…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ai Yamakage , Ken-Ichiro Imura , Jérôme Cayssol , Yoshio Kuramoto

We consider longitudinal electronic transport in a graphene monolayer with an external in-plane magnetic field and with extrinsic spin-orbit Rashba interaction. Our main interest is in the in-plane magnetoresistance, observed…

Mesoscale and Nanoscale Physics · Physics 2024-10-29 S. Kudła , V. K. Dugaev , J. Barnaś , A. Dyrdał

Using four-terminal Landauer-B\"{u}ttiker formalism and Green's function technique, in this present paper, we calculate numerically spin Hall conductance (SHC) and longitudinal conductance of a finite size kagome lattice with Rashba…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Moumita Dey , Santanu K. Maiti , S. N. Karmakar

We found the universal relationship between frequency-dependent spin-Hall conductivity and magnetic susceptibility in clean 2D electron systems with Rashba coupling: $\sigma_{sH}(\Omega)= \frac{e}{(g\mu_B)^2m_b}\chi_\parallel(\Omega)$ in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ol'ga V. Dimitrova

Within the Kubo formalism, we estimate the spin-Hall conductivity in a two-dimensional electron gas with Rashba spin-orbit interaction and study its variation as a function of disorder strength and system size. The numerical algorithm…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Moca , D. C. Marinescu

We show that the extrinsic spin Hall effect can be engineered in monolayer graphene by decoration with small doses of adatoms, molecules, or nanoparticles originating local spin-orbit perturbations. The analysis of the single impurity…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 A. Ferreira , T. G. Rappoport , M. A. Cazalilla , A. H. Castro Neto

We obtain analytic formulas for the frequency-dependent spin-Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of impurities, linear spin-orbit Rashba interaction, and external magnetic field perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. M. Hankiewicz , G. Vignale

Using the four-terminal Landauer-B\"{u}ttiker formula and Green's function approach, we calculate numerically the spin-Hall conductance in a two-dimensional junction system with the Rashba spin-orbit (SO) coupling and disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Sheng , D. N. Sheng , C. S. Ting

Spin polarization induced by an external electric field in graphene is considered theoretically in the linear response regime. The graphene is assumed to be deposited on a substrate which leads to the spin-orbit interaction of Rashba type.…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 A. Dyrdał , J. Barnaś , V. K. Dugaev