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A brief review is given on the spin Hall effect, where an external electric field induces a transverse spin current. It has been recognized over 30 years that such effect occurs due to impurities in the presence of spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shuichi Murakami

We examine a possible spin Hall effect for localized spin systems with no charge degrees of freedom. In this scenario, a longitudinal magnetic field gradient induces a transverse spin current carried by spin wave excitations with an…

Strongly Correlated Electrons · Physics 2009-07-03 Satoshi Fujimoto

We have examined the experiments performed by Goldman and Su, de-Picciotto et al, Samanadayar et al and Conforti et al in which it is claimed that a fractional charge of e/3 is found. In all of the measurements, the quantity measured is the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

Spin Hall effects are a collection of phenomena, resulting from spin-orbit coupling, in which an electrical current flowing through a sample can lead to spin transport in a perpendicular direction and spin accumulation at lateral…

Mesoscale and Nanoscale Physics · Physics 2007-09-18 Hans-Andreas Engel , Emmanuel I. Rashba , Bertrand I. Halperin

A fractional quantization in a two dimensional space is proposed. The angular momenta of the two dimensional electrons are quantized in fractional numbers by the boundary conditions on a multi-layered Riemann surface. Extended wave…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hyeong Rag Lee

Introductory lectures on higher-spin gauge theory given at 7 Aegean workshop on non-Einstein theories of gravity. The emphasis is on qualitative features of the higher-spin gauge theory and peculiarities of its space-time interpretation. In…

High Energy Physics - Theory · Physics 2015-06-19 M. A. Vasiliev

In this letter recent developments are shown in experimental and theoretical physics which brings into question the validity of General Relativity. This letter emphasizes the construction of a fractal 3+\phi^3 spacetime, in N-dimensions in…

General Physics · Physics 2007-05-23 E. F. Halerewicz

The spin Hall effect is a phenomenon that an electric field induces a spin Hall current. In this Letter, we examine the inverse effect that, in a ferromagnetic conductor, a charge Hall current is induced by a spin motive force, or a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Junya Shibata , Hiroshi Kohno

We present a novel fundamental effect that for the matter waves the space-averaging free-fall point of quantum particles undergoes a spin-dependent transverse shift in the gravitational field of Earth. This effect is similar to the…

General Relativity and Quantum Cosmology · Physics 2020-09-10 Zhen-Lai Wang , Xiang-Song Chen

We investigate electrically-induced spin currents generated by the spin Hall effect in GaAs structures that distinguish edge effects from spin transport. Using Kerr rotation microscopy to image the spin polarization, we demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Sih , W. H. Lau , R. C. Myers , V. R. Horowitz , A. C. Gossard , D. D. Awschalom

The fractional quantum Hall effect in 2D electron gases submitted to large magnetic fields remains one of the most striking phenomena in condensed matter physics. Historically, the first observed signature is a Hall resistance quantized to…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Nicolas Rougerie

The effective fractional charges like 17/4 or 19/4 are explained by our angular momentum theory. These fractions do not arise from the odd denominator rule. Due to spin polarization for both of these along the magnetic field, these states…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

W. Apel and Yu.A. Bychkov have recently considered the spin relaxation in a 2D quantum Hall system for the filling factor close to unity [PRL v.82, 3324 (1999)]. The authors considered only one spin flip mechanism (direct spin-phonon…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alexander V. Khaetskii

Spin Hall effects are a collection of relativistic spin-orbit coupling phenomena in which electrical currents can generate transverse spin currents and vice versa. Although first observed only a decade ago, these effects are already…

Materials Science · Physics 2014-11-13 Jairo Sinova , Sergio O. Valenzuela , J. Wunderlich , C. H. Back , T. Jungwirth

A potentially powerful approach to quantum gravity has been developed over the last few years under the name of Causal Dynamical Triangulations. Numerical simulations have given very interesting results in the cases of two, three and four…

General Relativity and Quantum Cosmology · Physics 2007-09-05 Dario Benedetti

We investigate a connection between recent results in 3D quantum gravity, providing an effective noncommutative-spacetime description, and some earlier heuristic descriptions of a quantum-gravity contribution to the fuzziness of the…

General Relativity and Quantum Cosmology · Physics 2013-01-22 Giovanni Amelino-Camelia , Valerio Astuti , Giacomo Rosati

It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons theory, with the gauge group given by the local isometry group, depending on the metric signature and the cosmological constant. Point particles are added into…

High Energy Physics - Theory · Physics 2023-06-16 Tomasz Trześniewski

We consider a family of quantum loop models in 2+1 spacetime dimensions with marginally long-ranged and statistical interactions mediated by a U$(1)$ gauge field, both purely in 2+1 dimensions and on a surface in a 3+1 dimensional bulk…

Strongly Correlated Electrons · Physics 2018-05-16 Hart Goldman , Eduardo Fradkin

We measure the chemical potential jump across the fractional gap in the low-temperature limit in the two-dimensional electron system of GaAs/AlGaAs single heterojunctions. In the fully spin-polarized regime, the gap for filling factor…

Strongly Correlated Electrons · Physics 2007-09-03 V. S. Khrapai , A. A. Shashkin , M. G. Trokina , V. T. Dolgopolov , V. Pellegrini , F. Beltram , G. Biasiol , L. Sorba

Spin-orbit coupling in semiconductors relates the spin of an electron to its momentum and provides a pathway for electrically initializing and manipulating electron spins for applications in spintronics and spin-based quantum information…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. Sih , R. C. Myers , Y. K. Kato , W. H. Lau , A. C. Gossard , D. D. Awschalom