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The quantum spin Hall (QSH) effect in the DC regime, which has been intensively researched, relies on the existence of symmetry-protected edge states. Here, we demonstrate that a QSH system behaves quite differently in response to an…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 W. Y. Deng , H. Geng , Wei Luo , Wei Chen , L. Sheng , D. N. Sheng , D. Y. Xing

A single pair of helical edge states as realized at the boundary of a quantum spin Hall insulator is known to be robust against elastic single particle backscattering as long as time reversal symmetry is preserved. However, there is no…

Mesoscale and Nanoscale Physics · Physics 2012-03-16 Jan Carl Budich , Fabrizio Dolcini , Patrik Recher , Björn Trauzettel

We analyze electron transport in multiprobe quantum spin Hall (QSH) bars using the B\"{u}ttiker formalism and draw parallels with their quantum Hall (QH) counterparts. We find that in a QSH bar the measured resistance changes upon…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Awadhesh Narayan , Stefano Sanvito

The understanding of the Chern insulator and anomalous quantum Hall effect (AQHE) in terms of chiral edge states in confined systems is the first aim of the paper. The model we use consists in a diatomic square lattice with hopping to the…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 B. Ostahie , M. Nita , A. Aldea

In the present article we investigate the influence of the contact region on the distribution of the chemical potential in integer quantum Hall samples, as well as the longitudinal and Hall resistance as a function of the magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Christoph Uiberacker , Christian Stecher , Josef Oswald

We numerically investigate the effects of disorder on the quantum Hall effect (QHE) and the quantum phase transitions in silicene based on a lattice model. It is shown that for a clean sample, silicene exhibits an unconventional QHE near…

Strongly Correlated Electrons · Physics 2017-12-15 Y. L. Liu , G. X. Luo , N. Xu , H. Y. Tian , C. D. Ren

Fractional quantum Hall-superconductor heterostructures may provide a platform towards non-abelian topological modes beyond Majoranas. However their quantitative theoretical study remains extremely challenging. We propose and implement a…

Strongly Correlated Electrons · Physics 2018-05-08 C. Repellin , A. M. Cook , T. Neupert , N. Regnault

A quantum spin Hall insulator is a two-dimensional state of matter consisting of an insulating bulk and one-dimensional helical edge states. While these edge states are topologically protected against elastic backscattering in the presence…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 N. Kainaris , I. V. Gornyi , S. T. Carr , A. D. Mirlin

We construct a solvable spin chain model of many-body localization (MBL) with a tunable mobility edge. This simple model not only demonstrates analytically the existence of mobility edges in interacting one-dimensional (1D) disordered…

Statistical Mechanics · Physics 2015-07-07 Yichen Huang

This is a study of phase-coherent conduction through a ballistic point contact with disordered leads. The disorder imposes mesoscopic (sample-to-sample) fluctuations and weak-localization corrections on the conductance, and also leads to…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker , J. A. Melsen

We explore the phases exhibited by an interacting quantum spin Hall edge state in the presence of finite chemical potential (applied gate voltage) and spin imbalance (applied magnetic field). We find that the helical nature of the edge…

Strongly Correlated Electrons · Physics 2015-06-03 Qinglei Meng , Taylor L. Hughes , Matthew J. Gilbert , Smitha Vishveshwara

Transport in an ideal two-dimensional quantum spin Hall device is dominated by the counterpropagating edge states of electrons with opposite spins, giving the universal value of the conductance, $2e^2/h$. We study the effect on the…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Yoichi Tanaka , A. Furusaki , K. A. Matveev

The nature of a metal--insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions at integer bulk filling, as reported in recent experiments of Roddaro et al. [1], is addressed. We are particularly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emiliano Papa , Tilo Stroh

The quantum Hall effect (QHE) is a topologically protected phenomenon which has been observed in various systems. In experiments, the size of Hall bar device to realize the QHE is generally much larger than the phase coherence length, in…

Mesoscale and Nanoscale Physics · Physics 2022-10-03 Fang Jing-Yun , Guo Ai-Min , Sun Qing-Feng

Quantum spin Hall (QSH) insulators exhibit spin-polarized conducting edge states that are topologically protected from backscattering and offer unique opportunities for addressing fundamental science questions and device applications.…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Rajibul Islam , Rahul Verma , Barun Ghosh , Zahir Muhammad , Arun Bansil , Carmine Autieri , Bahadur Singh

We combine the ideas of intensity interferometry, polarization optics and Bell's measurement into an experimental proposal which is hosted in a $\nu\,$=$\,2$ quantum Hall (QH) edge state. Our interferometer comprises of a single gate, that…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Krishanu Roychowdhury , Disha Wadhawan , Poonam Mehta , Biswajit Karmakar , Sourin Das

Quantum spin Hall (QSH) insulators are versatile platforms for exploring exotic quantum phases, especially when combined with high-order van Hove singularities (VHSs) that enhance electron correlations. However, perfect spin Hall…

Materials Science · Physics 2025-10-16 Rahul Verma , Yash Vardhan , Hsin Lin , Bahadur Singh

We theoretically investigate the localization mechanism of the quantum anomalous Hall effect (QAHE) in the presence of spin-flip disorders. We show that the QAHE keeps quantized at weak disorders, then enters a Berry-curvature mediated…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Zhenhua Qiao , Ke Wang , Lei Zhang , Yulei Han , Xinzhou Deng , Hua Jiang , Shengyuan A. Yang , Jian Wang , Qian Niu

We report on spin transport along double-helical molecular systems by considering various contact configurations and asymmetries between the two helical strands in the regime of completely coherent charge transport. Our results reveal that…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Ai-Min Guo , E. Díaz , C. Gaul , R. Gutierrez , F. Domínguez-Adame , G. Cuniberti , Qing-feng Sun

We show that long-range ferromagnetic interactions in quantum spin chains can induce spatial quasi-localization of topological magnetic defects, i.e., domain-walls, even in the absence of quenched disorder. By means of matrix-product-states…

Quantum Gases · Physics 2019-04-03 Alessio Lerose , Bojan Zunkovic , Alessandro Silva , Andrea Gambassi