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Related papers: Relation Between the Spin Hall Conductivity and th…

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The conserved bulk spin current [Shi et al., Phys. Rev. Lett. 96, 076604 (2006)], defined as the time derivative of the spin displacement operator, ensures automatically the Onsager relation between the spin Hall effect (SHE) and the…

Mesoscale and Nanoscale Physics · Physics 2018-08-13 Cong Xiao , Jihang Zhu , Bangguo Xiong , Qian Niu

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 derive the effective field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be…

Mesoscale and Nanoscale Physics · Physics 2011-09-02 Huabi Zeng

The spin-Hall conductivity in spatially-homogeneous two-dimensional electron systems described by the spin-orbit Hamiltonian \hbar \Omega_p \sigma is presented as a sum of the universal part Me/8 \pi \hbar determined by the Berry phase…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. E. Raichev

We investigate spin transport of heavy holes in III-V semiconductor quantum wells in the presence of spin-orbit coupling of the Rashba type due to structure-inversion asymmetry. Similarly to the case of electrons, the longitudinal spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann , Daniel Loss

We report on a comparative numerical study of the spin Hall conductivity in two-dimensions for three different spin-orbit interaction models; the standard k-linear Rashba model, the k-cubic Rashba model that describes two-dimensional hole…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. Nomura , Jairo Sinova , N. A. Sinitsyn , A. H. MacDonald

Within an effective Dirac theory the low-energy dispersions of monolayer graphene in the presence of Rashba spin-orbit coupling and spin-degenerate bilayer graphene are described by formally identical expressions. We explore implications of…

Mesoscale and Nanoscale Physics · Physics 2012-02-06 Ming-Hao Liu , Jan Bundesmann , Klaus Richter

van der Waals heterostructures assembled from atomically thin crystals are ideal model systems to study spin-orbital coupled transport because they exhibit a strong interplay between spin, lattice and valley degrees of freedom that can be…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Carmen Monaco , Aires Ferreira , Roberto Raimondi

We present a topological description of quantum spin Hall effect (QSHE) in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings. We show that the topology of the band insulator can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , Z. Y. Weng , L. Sheng , F. D. M. Haldane

We investigate the intrinsic spin Hall effect in a quantum well semiconductor doped with magnetic impurities, as a means to manipulate the carriers' spin. Using a simple Hamiltonian with Rashba spin-orbit coupling and exchange interactions,…

Mesoscale and Nanoscale Physics · Physics 2014-04-22 T. L. van den Berg , L. Raymond , A. Verga

A Hall effect due to spin chirality in mesoscopic systems is predicted. We consider a 4-terminal Hall system including local spins with geometry of a vortex domain wall, where strong spin chirality appears near the center of vortex. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jun-ichiro Ohe , Tomi Ohtsuki , Bernhard Kramer

Graphene has an unusual low-energy band structure with four chiral bands and half-quantized and quantized Hall effects that have recently attracted theoretical and experimental attention. We study the Fermi energy and disorder dependence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , J. E. Hill , Hongki Min , Jairo Sinova , A. H. MacDonald

We study the effect of disorder on the intrinsic anomalous Hall (AH) conductivity in a spin-polarized two-dimensional electron gas with a Rashba-type spin-orbit interaction. We find that AH conductivity vanishes unless the lifetime is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jun-ichiro Inoue , Takashi Kato , Yasuhito Ishikawa , Hiroyoshi Itoh , Gerrit E. W. Bauer , Laurens W. Molenkamp

This pedagogical piece provides a surprisingly simple demonstration that the quantized Hall conductivity of correlated insulators is given by the many-body Chern number, a topological invariant defined in the space of twisted boundary…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Nathan Goldman , Tomoki Ozawa

A semiclassical constrained Hamiltonian system which was established to study dynamical systems of matrix valued non-Abelian gauge fields is employed to formulate spin Hall effect in noncommuting coordinates at the first order in the…

High Energy Physics - Theory · Physics 2009-12-10 O. F. Dayi , M. Elbistan

As a topological insulator, the quantum Hall (QH) effect is indexed by the Chern and spin-Chern numbers $\mathcal{C}$ and $\mathcal{C}_{\text{spin}}$. We have only $\mathcal{C}_{\text{spin}}=0$ or $\pm \frac{1}{2}$ in conventional QH…

Mesoscale and Nanoscale Physics · Physics 2013-12-11 Motohiko Ezawa

A semi-classical description of the intrinsic spin-Hall effect (SHE) is presented which is relevant for a wide class of systems. A heuristic model for the SHE is developed, starting with a fully quantum mechanical treatment, from which we…

Mesoscale and Nanoscale Physics · Physics 2010-05-28 T. Fujita , M. B. A. Jalil , S. G. Tan

Physical properties such as the conductivity are usually classified according to the symmetry of the underlying system using Neumann's principle, which gives an upper bound for the number of independent components of the corresponding…

Mesoscale and Nanoscale Physics · Physics 2023-11-14 Longjun Xiang , Fuming Xu , Luyang Wang , Jian Wang

Based on a rigorous quantum-kinetic approach, spin-charge coupled drift-diffusion equations are derived for a strongly confined two-dimensional hole gas. An electric field leads to a coupling between the spin and charge degrees of freedom.…

Statistical Mechanics · Physics 2009-11-13 P. Kleinert , V. V. Bryksin

We present a theoretical analysis of two-dimensional Dirac-Rashba systems in the presence of disorder and external perturbations. We unveil a set of exact symmetry relations (Ward identities) that impose strong constraints on the spin…

Mesoscale and Nanoscale Physics · Physics 2017-12-21 Mirco Milletari , Manuel Offidani , Aires Ferreira , Roberto Raimondi