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We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field $B(x)$. First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second,…

Mesoscale and Nanoscale Physics · Physics 2021-10-28 Botsz Huang , Ali G. Moghaddam , Jorge I. Facio , Ching-Hao Chang

Up to almost the last two decades all the experimental results concerning the quantum Hall effect (QHE), i.e., the observation of plateaux at integer (IQHE) or fractional (FQHE) values of the constant h/e2, were related to quantum-wells in…

Mesoscale and Nanoscale Physics · Physics 2020-05-26 M. A. Hidalgo

We consider the spatially homogeneous Boltzmann equation for inelastic hard spheres, in the framework of so-called constant normal restitution coefficients. We prove the existence of self-similar solutions, and we give pointwise estimates…

Analysis of PDEs · Mathematics 2016-08-16 Stéphane Mischler , Clément Mouhot

Hall effect is detected in organic field-effect transistors, using appropriately shaped rubrene (C42H28) single crystals. It turned out that inverse Hall coefficient, having a positive sign, is close to the amount of electric-field induced…

Materials Science · Physics 2009-11-11 J. Takeya , K. Tsukagoshi , Y. Aoyagi , T. Takenobu , Y. Iwasa

The electrical resistivity and Hall coefficient of LaFeAsO0.95F0.05 polycrystalline samples were measured in pulsed magnetic fields up to m0H = 60 T from room temperature to 1.5 K. The resistance of the normal state shows a negative…

Superconductivity · Physics 2009-11-13 Y. Kohama , Y. Kamihara , S. Riggs , F. F. Balakirev , T. Atake , M. Jaime , M. Hirano , H. Hosono

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende…

Condensed Matter · Physics 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

We report the experimental results from a dark study and a photo-excited study of the high mobility GaAs/AlGaAs system at large filling factors, $\nu$. At large-$\nu$, the dark study indicates several distinct phase relations ("Type-1",…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 R. G. Mani , W. B. Johnson , V. Umansky , V. Narayanamurti , K. Ploog

Valley degree of freedom in the 2D semiconductor is a promising platform for the next generation optoelectronics. Electrons in different valleys can have opposite Berry curvature, leading to the valley Hall effect (VHE). However, VHE…

Mesoscale and Nanoscale Physics · Physics 2022-09-22 Chongyun Jiang , Abdullah Rasmita , Hui Ma , Qinghai Tan , Zumeng Huang , Shen Lai , Sheng Liu , Xue Liu , Qihua Xiong , Wei-bo Gao

Using ab initio method we have studied the structural, elastic, electronic, optical and thermodynamic properties of AlB2 and TaB2. We have used plane wave pseudopotential with generalised gradient approximation as implemented in CASTEP…

Materials Science · Physics 2015-05-26 N. Jahan , M. A. Ali

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Roberto Raimondi , Giovanni Vignale

The quantum Hall effect (QHE) in two-dimensional (2D) electron gases, which is one of the most striking phenomena in condensed matter physics, involves the topologically protected dissipationless charge current flow along the edges of the…

Strongly Correlated Electrons · Physics 2018-08-02 Y. Kasahara , T. Ohnishi , Y. Mizukami , O. Tanaka , Sixiao Ma , K. Sugii , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , T. Shibauchi , Y. Matsuda

Magnus Hall effect (MHE) is a non-linear Hall effect requiring no external magnetic field, which can be observed when an in-built electric field couples to the Berry curvature of the bandstructure, producing a current in the transverse…

Mesoscale and Nanoscale Physics · Physics 2022-06-28 Sajid Sekh , Ipsita Mandal

We calculate the Hall transport in a multiband systems with a dominant interband interaction between carriers having electron and hole character. We show that this situation gives rise to an unconventional scenario, beyond the Boltzmann…

Strongly Correlated Electrons · Physics 2012-08-28 L. Fanfarillo , E. Cappelluti , C. Castellani , L. Benfatto

In this paper, we investigate the transport coefficients of a strongly coupled plasma in the context of holographic QCD models based on Einstein-dilaton gravity that are compatible with linear confinement at zero temperature. At finite…

High Energy Physics - Theory · Physics 2025-07-21 Nairy A. Villarreal , Luis A. H. Mamani , Alfonso Ballon-Bayona , Alex S. Miranda , Vilson T. Zanchin

We use dynamic scanning capacitance microscopy (DSCM) to image compressible and incompressible strips at the edge of a Hall bar in a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime. This method gives access to…

Mesoscale and Nanoscale Physics · Physics 2012-09-17 M. E. Suddards , A. Baumgartner , M. Henini , C. J. Mellor

The experimental realization of the quantum anomalous Hall (QAH) effect in magnetically-doped (Bi, Sb)2Te3 films stands out as a landmark of modern condensed matter physics. However, ultra-low temperatures down to few tens of mK are needed…

Mesoscale and Nanoscale Physics · Physics 2016-09-12 W. Li , M. Claassen , Cui-Zu Chang , B. Moritz , T. Jia , C. Zhang , S. Rebec , J. J. Lee , M. Hashimoto , D. -H. Lu , R. G. Moore , J. S. Moodera , T. P. Devereaux , Z. -X. Shen

Here, we present a temperature ($T$) dependent comparison between field-effect and Hall mobilities in field-effect transistors based on few-layered WSe$_2$ exfoliated onto SiO$_2$. Without dielectric engineering and beyond a $T$-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 N. R. Pradhan , D. Rhodes , S. Memaran , J. M. Poumirol , D. Smirnov , S. Talapatra , S. Feng , N. Perea-Lopez , A. L. Elias , M. Terrones , P. M. Ajayan , L. Balicas

Heusler-type Fe2VAl compound is a promising thermoelectric candidate with non-magnetic ground state. The present work investigates the Seebeck coefficient (S) of Fe2VAl in the temperature region 300 to 620 K with the help of experimental…

Materials Science · Physics 2018-09-20 Shamim Sk , P. Devi , Sanjay Singh , Sudhir K Pandey

Spatial manipulation of current flow in graphene could be achieved through the use of a tilted pn junction. We show through numerical simulation that a pseudo-Hall effect (i.e. non-equilibrium charge and current density accumulating along…

Mesoscale and Nanoscale Physics · Physics 2009-12-20 Tony Low , Joerg Appenzeller

Measurement techniques based upon the Hall effect are invaluable tools in condensed matter physics. When an electric current flows perpendicular to a magnetic field, a Hall voltage develops in the direction transverse to both the current…

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