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The quantum spin Hall (QSH) state is a topologically non-trivial state of quantum matter which preserves time-reversal symmetry; it has an energy gap in the bulk, but topologically robust gapless states at the edge. Recently, this novel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chaoxing Liu , Taylor L. Hughes , Xiao-Liang Qi , Kang Wang , Shou-Cheng Zhang

Edge states in the integral quantum Hall effect on a lattice are reviewed from a topological point of view. For a system with edges which is realized inevitably in an experimental situation, the Hall conductance $\sigma_{xy}$ is given by a…

Condensed Matter · Physics 2007-05-23 Yasuhiro Hatsugai

Inverted-gap GaSb/InAs quantum wells have long been predicted to show quantum spin Hall insulator (QSHI) behavior. The experimental characterization of the QSHI phase in these systems has relied on the presence of quantized edge transport…

Mesoscale and Nanoscale Physics · Physics 2021-11-30 Marcos H. L. de Medeiros , Raphael L. R. C. Teixeira , Guilherme M. Sipahi , Luis G. G. V. Dias da Silva

A quantum information processing scheme is proposed with semiconductor quantum dots located in a high-Q single mode QED cavity. The spin degrees of freedom of one excess conduction electron of the quantum dots are employed as qubits.…

Quantum Physics · Physics 2009-11-07 Mang Feng , Irene D'Amico , Paolo Zanardi , Fausto Rossi

We modeled the electron and hole states in Si/SiO2 quantum wells within a basis of standing waves using the 30-band k.p theory. The hard-wall confinement potential is assumed, and the influence of the peculiar band structure of bulk silicon…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Nemanja A. Cukaric , Milan Z. Tadic , Bart Partoens , F. M. Peeters

We study the effects of electron-hole asymmetry on the electronic structure of helical edge states in HgTe/HgCdTe quantum wells. In the framework of the four-band kp-model, which takes into account the absence of a spatial inversion centre,…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 M. V. Durnev

Localization of the helical edge states in quantum spin Hall insulators requires breaking time reversal invariance. In experiments this is naturally implemented by applying a weak magnetic field B. We propse a model based on scattering…

Mesoscale and Nanoscale Physics · Physics 2012-12-21 Pierre Delplace , Jian Li , Markus Büttiker

For 2D topological insulators with strong electron-hole hybridization, such as HgTe/CdTe quantum wells, the widely used 4 x 4 k.p Hamiltonian based on the first electron and heavy hole sub-bands yields an equal number of physical and…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Philip Klipstein

In this article we show that if the electrons in a quantum Hall sample are subjected to a constant electric field in the plane of the material, comparable in magnitude to the background magnetic field on the system of electrons, a…

High Energy Physics - Theory · Physics 2009-10-30 Rashmi Ray , Joan Soto

We study quantum spin Hall insulators with local Coulomb interactions in the presence of boundaries using dynamical mean field theory. We investigate the different influence of the Coulomb interaction on the bulk and the edge states.…

Strongly Correlated Electrons · Physics 2017-05-17 A. Amaricci , G. Sangiovanni , L. Privitera , F. Petocchi , M. Capone , B. Trauzettel

Topologically-protected edge states are dissipationless conducting surface states immune to impurity scattering and geometrical defects that occur in electronic systems characterized by a bulk insulating gap. One example can be found in a…

Both quantum spin Hall and quantum anomalous Hall states are novel states of quantum matter with promising applications. We propose junction quantum wells comprising II-VI, III-V or IV semiconductors as a large class of new materials…

Mesoscale and Nanoscale Physics · Physics 2014-05-29 Haijun Zhang , Yong Xu , Jing Wang , Shou-Cheng Zhang

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

We present detailed analytical calculations for an 1D Ising ring of arbitrary number of spin-1/2 particles, in order to reveal entanglement properties of the stationary states. We show that the ground state and specific eigenstates of the…

Quantum Physics · Physics 2007-05-23 P. Štelmachovič , V. Bužek

The gapless edge modes of the Quantum Spin Hall insulator form a helical liquid in which the direction of motion along the edge is determined by the spin orientation of the electrons. In order to probe the Luttinger liquid physics of these…

Mesoscale and Nanoscale Physics · Physics 2014-04-14 Romain Vasseur , Joel E. Moore

We calculate the conductance of a two-dimensional bilayer with inverted electron-hole bands, to study the sensitivity of the quantum spin Hall insulator (with helical edge conduction) to the combination of electrostatic disorder and a…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 D. I. Pikulin , T. Hyart , Shuo Mi , J. Tworzydło , M. Wimmer , C. W. J. Beenakker

The equilibration between quantum Hall edge modes is known to depend on the disorder potential and the steepness of the edge. Modern samples with higher mobilities and setups with lower electron temperatures call for a further exploration…

Mesoscale and Nanoscale Physics · Physics 2022-02-08 G. Nicoli , C. Adam , M. P. Röösli , P. Märki , J. Scharnetzky , C. Reichl , W. Wegscheider , T. Ihn , K. Ensslin

This review presents experimental results on the inter-edge-state transport in the quantum Hall effect, mostly obtained in the regime of high imbalance. The application of a special geometry makes it possible to perform I-V spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2008-03-19 E. V. Deviatov , A. Lorke

The quantum-Hall-effect (QHE) occurs in topologically-ordered states of two-dimensional (2d) electron-systems in which an insulating bulk-state coexists with protected 1d conducting edge-states. Owing to a unique topologically imposed…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Guohong Li , Adina Luican , Dmitry Abanin , Leonid Levitov , Eva Y. Andrei

It is a conventional wisdom that the helical edge states of quantum spin Hall (QSH) insulator are particularly stable due to the topological protection of time-reversal symmetry. Here, we report the first experimental observation of an…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Huanhuan Yang , Lingling Song , Yunshan Cao , X. R. Wang , Peng Yan