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Strongly interacting electrons in a topologically non trivial band may form exotic phases of matter. An especially intriguing example of which is the fractional quantum anomalous Hall phase, recently discovered in twisted transition metal…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Gal Shavit

Quantum Hall effect (QHE) is one of the most fruitful research topics in condensed-matter physics. Ordinarily, the QHE manifests in a ground state with time-reversal symmetry broken by magnetization to carry a quantized chiral edge…

Materials Science · Physics 2023-03-15 Yinong Zhou , Gurjyot Sethi , Hang Liu , Zhengfei Wang , Feng Liu

We study quantum Hall effect within the framework of a newly proposed approach, which captures the principal results of some proposals. This can be established by considering a system of particles living on the non-commutative plane in the…

High Energy Physics - Theory · Physics 2008-11-26 Ahmed Jellal , Youssef Khedif

The transport properties of the two-dimensional system in HgTe-based quantum wells containing simultaneously electrons and holes of low densities are examined. The Hall resistance, as a function of perpendicular magnetic field, reveals an…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 O. E. Raichev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

The quantum Hall effect in the three-dimensional anisotropic tight-binding electrons is investigated in the field-induced spin density wave phases with a magnetic field tilted to any direction. The Hall conductivity, $\sigma_{xy}$ and…

Condensed Matter · Physics 2009-10-22 Yasumasa Hasegawa

We study the Coulomb drag between two spatially separated electron systems in a strong magnetic field, one of which exhibits the quantum Hall effect. At a fixed temperature, the drag mimics the behavior of $\sigma_{xx}$ in the quantum Hall…

Condensed Matter · Physics 2009-10-22 Efrat Shimshoni , S. L. Sondhi

We present measurements of momentum-resolved magneto-tunneling from a perpendicular two-dimensional (2D) contact into integer quantum Hall (QH) edges at a sharp edge potential created by cleaved edge overgrowth. Resonances in the tunnel…

Condensed Matter · Physics 2009-11-10 M. Huber , M. Grayson , D. Schuh , M. Bichler , W. Biberacher , W. Wegscheider , G. Abstreiter

We study mesoscopic spin Hall effect on the surface of topological insulator with a step-function potential. The giant spin polarization induced by a transverse electric current is derived analytically by using McMillan method in the…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Jin-Hua Gao , Jie Yuan , Wei-Qiang Chen , Yi Zhou , Fu-Chun Zhang

We study the behavior of the extended states of a two-dimensional electron system in silicon in a magnetic field, B. Our results show that the extended states, corresponding to the centers of different Landau levels, merge with the lowest…

Condensed Matter · Physics 2016-08-31 S. V. Kravchenko , Whitney Mason , J. E. Furneaux , V. M. Pudalov

Quantum transport properties in quantum Hall wires in the presence of spatially correlated disordered magnetic fields are investigated numerically. It is found that the correlation drastically changes the transport properties associated…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Tomi Ohtsuki , Stefan Kettemann , Alexander Struck , Bernhard Kramer

We theoretically investigate the Coulomb drag between the edge states of two quantum spin Hall systems. Using an interacting theory of the one-dimensional helical edge modes, we show that the drag vanishes at second order in the inter-edge…

Strongly Correlated Electrons · Physics 2010-09-29 Vladimir A. Zyuzin , Gregory A. Fiete

It is shown that the presence of matrix dipole moments induced by external electric fields can modify the Hall response in two dimensional Topological insulators. In the case of the Quantum Anomalous Hall effect the induced transverse…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alberto Cortijo

A strong anisotropy in the longitudinal resistivity of a 2D electron system has been observed at half-filled high Landau levels. We report on detailed Hartree-Fock calculations of the unidirectional charge density wave (UCDW) orientation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Jungwirth , A. H. MacDonald , L. Smrčka , S. M. Girvin

In a two-dimensional electron gas, the quantized Hall conductance can be induced by a strong magnetic field, known as the quantum Hall effect, and it can also result from the strong exchange coupling of magnetic ions, dubbed as the "quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Xin Liu , Hsiu-Chuan Hsu , Chao-Xing Liu

Cold atomic gases of interacting bosons subject to rapid rotation and confined in anharmonic traps can theoretically exhibit analogues of the fractional quantum Hall effect for electrons in strong magnetic fields. In this setting the…

Mathematical Physics · Physics 2022-09-29 Nicolas Rougerie , Jakob Yngvason

We use numerical simulations to predict peculiar magnetotransport fingerprints in polycrystalline graphene, driven by the presence of grain boundaries of varying size and orientation. The formation of Landau levels is shown to be restricted…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 Aron W. Cummings , Alessandro Cresti , Stephan Roche

We report a nearly ideal quantum anomalous Hall effect in a three-dimensional topological insulator thin film with ferromagnetic doping. Near zero applied magnetic field we measure exact quantization in Hall resistance to within a part per…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. J. Bestwick , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

A field-theoretic formulation of a planar Hall-electron system with edges is presented and some fundamental aspects of the integer quantum Hall effect are studied with emphasis on clarifying general symmetry-based consequences of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 K. Shizuya

We show that an electric field parallel to the wavefronts of an electron-hole grating in a GaAs quantum well generates, via the electronic spin Hall effect, a spin grating of the same wave vector and with an amplitude that can exceed 1% of…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Ka Shen , G. Vignale

We discuss quantum Hall effect in the presence of arbitrary pair interactions between electrons. It is shown that irrespective of the interaction strength the Hall conductivity is given by the filling fraction of Landau levels averaged over…

Mesoscale and Nanoscale Physics · Physics 2020-01-20 Xi Wu , M. A. Zubkov
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