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We report the realization of near total Faraday rotation of $\theta_F$=1.43 rad (82 degrees) on a single pass through a 2D electron gas (2DEG), approaching the ideal limit of $\pi/2$ rad (90 degrees). The corresponding Verdet constant V =…

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

The flow of electric current through a two-dimensional material in a magnetic field gives rise to the family of Hall effects. The quantum versions of these effects accommodate robust electronic edge channels and fractional charges.…

Strongly Correlated Electrons · Physics 2023-09-21 Robert Peters , Jannis Neuhaus-Steinmetz , Thore Posske

The rotating relativistic fermion system is considered. The consideration is based on the Dirac equation written in the laboratory (non - rotating) reference frame. Rotation in this approach gives rise to the effective magnetic and electric…

High Energy Physics - Phenomenology · Physics 2018-04-12 M. A. Zubkov

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

Hall effect measurements are important for elucidating the fundamental charge transport mechanisms and intrinsic mobility in organic semiconductors. However, Hall effect studies frequently reveal an unconventional behavior that cannot be…

Materials Science · Physics 2016-01-25 H. T. Yi , Y. Gartstein , V. Podzorov

The output signal of classical symmetrical Hall plates is an odd function of the magnetic field component acting perpendicular to the plate. At weak magnetic field the Hall plate output is linearly proportional to the perpendicular magnetic…

Applied Physics · Physics 2020-12-30 Udo Ausserlechner , Michael Holliber , Benjamin Kollmitzer , Richard Heinz

An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a ``current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large $N$ limit. An order…

High Energy Physics - Theory · Physics 2015-06-26 G. Nagao

The spin Hall effect and its inverse play key roles in spintronic devices since they allow conversion of charge currents to and from spin currents. The conversion efficiency strongly depends on material details, such as the electronic band…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 D. H. Wei , Y. Niimi , B. Gu , T. Ziman , S. Maekawa , Y. Otani

A common method of controlling the chemical potential in topological insulators is applying a gate electrode. Simultaneously applying high source-drain bias currents can lead to parasitic effects in such devices. We derive that these…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Sofie Kölling , Florian R. Westerhof , Alexander Brinkman

The heavy fermion systems present a unique platform in which strong electronic correlations give rise to a host of novel, and often competing, electronic and magnetic ground states. Amongst a number of potential experimental tools at our…

Strongly Correlated Electrons · Physics 2012-10-18 Sunil Nair , S. Wirth , S. Friedemann , F. Steglich , Q. Si , A. J. Schofield

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

An oscillographic study of the Hall voltage with an unpolarized alternating current through a platinum sample revealed choral features of the Hall effect, which clearly demonstrate the presence of the spin Hall effect in metals with a…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Yu. N. Chiang , M. O. Dzyuba

The anomalous Hall effect has had a profound influence on the understanding of many electronic topological materials but is much less studied in their bosonic counterparts. We predict that an intrinsic anomalous Hall effect exists in a…

Quantum Gases · Physics 2022-10-31 Guan-Hua Huang , Zhi-Fang Xu , Zhigang Wu

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

The orbital Hall effect (OHE) has attracted significant attention for developing energy-efficient electronic devices. However, utilizing it in fast, low-power devices requires an enhanced understanding of underlying extrinsic and intrinsic…

The nonlinear Hall effect has recently attracted significant interest due to its potential as a promising spectral tool and device applications. A theory of the nonlinear Hall effect on a disordered lattice is a crucial step towards…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Z. Z. Du , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

We study the hitherto un-addressed phenomenon of Quantum Hall Effect with a magnetic and electric fields oscillating in time with resonant frequencies. This phenomenon realizes an example of heterodyne device with the magnetic field acting…

Mesoscale and Nanoscale Physics · Physics 2016-11-16 Takashi Oka , Leda Bucciantini

We present a theory of composite fermion edge states and their transport properties in the fractional and integer quantum Hall regimes. We show that the effective electro-chemical potentials of composite fermions at the edges of a Hall bar…

Condensed Matter · Physics 2009-10-28 George Kirczenow , Brad L. Johnson

Nonreciprocal devices such as isolators and circulators are necessary to protect sensitive apparatus from unwanted noise. Recently, a variety of alternatives were proposed to replace ferrite-based commercial technologies, with the…

Quantum Physics · Physics 2018-11-14 N. R. Bernier , L. D. Tóth , A. K. Feofanov , T. J. Kippenberg