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To fully appreciate the impacts that the discovery of the quantum Hall effect had on electrical metrology, it may benefit the reader to cultivate a general understanding of the phenomenon. Two-dimensional electron systems can exhibit many…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Albert F. Rigosi

We study the effect of magnetic scattering on transport in a system with strong structural disorder, using exact finite size calculation of the low frequency optical conductivity. At weak electron-spin coupling spin disorder leads to a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sanjeev Kumar , Pinaki Majumdar

The presence of strong disorder in graphene nanoribbons yields low-mobility diffusive transport at high charge densities, whereas a transport gap occurs at low densities. Here, we investigate the longitudinal and transverse…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Fabian Duerr , Jeroen B. Oostinga , Charles Gould , Laurens W. Molenkamp

Nuclear spin polarization is typically generated in GaAs quantum point contacts (QPCs) when an out-of-plane magnetic field gives rise to spin-polarized quantum Hall edge states, and a voltage bias drives transitions between the edge states…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. Ren , W. Yu , S. M. Frolov , J. A. Folk , W. Wegscheider

While the quantum spin Hall (QSH) effect and antiferromagnetic order constitute two of the most promising phenomena for embedding basic spintronic concepts into future technologies, almost all of the QSH insulators known to date are…

Materials Science · Physics 2017-05-22 C. Niu , J. -P. Hanke , P. M. Buhl , G. Bihlmayer , D. Wortmann , S. Blügel , Y. Mokrousov

We study quantum corrections to conductivity in a 2D system with a smooth random potential and strong spin-orbit splitting of the spectrum. We show that the interference correction is positive and down to the very low temperature can exceed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander P. Dmitriev , Igor V. Gornyi , Valentin Yu. Kachorovskii

We study the transport properties of two electrons in a quasi one-dimensional disordered wire. The electrons are subject to both, a disorder potential and a short range two-body interaction. Using the approach developed by Iida et al. […

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean Richert , Hans A. Weidenmuller

Harnessing topological phases with their dissipationless edge-channels coupled with the effective engineering of quantum phase transitions is a spinal aspect of topological electronics. The accompanying symmetry protection leads to…

Mesoscale and Nanoscale Physics · Physics 2023-05-19 Siddhant Midha , Koustav Jana , Bhaskaran Muralidharan

We present results of numerical studies of spin quantum Hall transitions in disordered superconductors, in which the pairing order parameter breaks time-reversal symmetry. We focus mainly on p-wave superconductors in which one of the spin…

Superconductivity · Physics 2009-11-10 Qinghong Cui , Xin Wan , Kun Yang

We consider quantum spin Hall effect in an anisotropic strip of stripes and address both integer and fractional filling factors. The first model is based on a gradient of spin-orbit interaction in the direction perpendicular to the stripes.…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Jelena Klinovaja , Yaroslav Tserkovnyak

Quantum spin Hall effect is endowed with topologically protected edge modes with gapless Dirac spectrum. Applying a magnetic field locally along the edge leads to a gapped edge spectrum with opposite parity for winding of spin texture for…

Mesoscale and Nanoscale Physics · Physics 2016-02-19 Disha Wadhawan , Poonam Mehta , Sourin Das

We investigate the effects of disorder and shielding on quantum transports in a two dimensional system with all-to-all long range hopping. In the weak disorder, cooperative shielding manifests itself as perfect conducting channels identical…

Disordered Systems and Neural Networks · Physics 2023-04-14 Si-Si Wang , Kangkang Li , Yi-Ming Dai , Hui-Hui Wang , Yi-Cai Zhang , Yan-Yang Zhang

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

Condensed Matter · Physics 2007-05-23 C. M. S. Conceicao , E. C. Marino

We study the effect of localized magnetic moments on the conductance of a helical edge. Interaction with a local moment is an effective backscattering mechanism for the edge electrons. We evaluate the resulting differential conductance as a…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Jukka I. Väyrynen , Florian Geissler , Leonid I. Glazman

The quantization of resistances in the quantum Hall effect and ballistic transport through quantum point contacts is compared with the quantization of the charge relaxation resistance of a coherent mesoscopic capacitor. While the former two…

Mesoscale and Nanoscale Physics · Physics 2009-06-27 Markus Buttiker , Simon E. Nigg

We study theoretically edge transport of a fractional quantum Hall liquid, in the presence of a quantum dot inside the Hall bar with well controlled electron density and Landau level filling factor \nu, and show that such transport studies…

Strongly Correlated Electrons · Physics 2013-04-19 Hsin-Hua Lai , Kun Yang

Computer modelling of the integer quantum Hall effect based on self-consistent Hartee-Fock calculations has now reached an astonishing level of maturity. Spatially-resolved studies of the electron density at near macroscopic system sizes of…

Mesoscale and Nanoscale Physics · Physics 2021-08-03 Rudolf A. Römer , Josef Oswald

We investigate lateral p-n junctions, electrostatically defined in 14 nm-wide HgTe-based quantum wells (QWs) with inverted band structure. The p-n junctions resistances are close to $h/2e^2$, consistent with some previous experiments on…

Mesoscale and Nanoscale Physics · Physics 2017-12-22 S. U. Piatrusha , V. S. Khrapai , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , E. S. Tikhonov

A highly non-thermal electron distribution is generated when quantum Hall edge states originating from sources at different potentials meet at a quantum point contact. The relaxation of this distribution to a stationary form as a function…

Strongly Correlated Electrons · Physics 2012-09-12 D. L. Kovrizhin , J. T. Chalker

We reinvestigate the behavior of the conductivity of several disordered quantum lattice models at infinite temperature using exact diagonalization. Contrary to the conclusion drawn in a recent investigation of similar quantities in…

Disordered Systems and Neural Networks · Physics 2013-05-29 Timothy C. Berkelbach , David R. Reichman
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