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We propose a minimal effective two-dimensional Hamiltonian for HgTe/CdHgTe quantum wells (QWs) describing the side maxima of the first valence subband. By using the Hamiltonian, we explore the picture of helical edge states in tensile and…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 S. S. Krishtopenko , F. Teppe

We theoretically study the generic behavior of the penetration depth of the edge states in two-dimensional quantum spin Hall systems. We found that the momentum-space width of the edge-state dispersion scales with the inverse of the…

Materials Science · Physics 2015-05-19 M. Wada , S. Murakami , F. Freimuth , G. Bihlmayer

We study the suppression of the conductance quantization in quantum spin Hall systems by a combined effect of electronic interactions and edge disorder, that is ubiquitous in exfoliated and CVD grown 2D materials. We show that the interplay…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Leandro R. F. Lima , Caio Lewenkopf

We study experimentally the transport properties of "inverted" semiconductor HgTe-based quantum well, which is related to the two-dimensional topological insulator, in diffusive transport regime. We perform nonlocal electrical measurements…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 G. M. Gusev , Z. D. Kvon , O. A. Shegai , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

Following the recent theoretical proposal and experiment on quantum spin Hall effect in HgTe/CdTe quantum wells, we consider a single magnetic impurity localized in the bulk of the system, which we treat as a classical spin. It is shown…

Materials Science · Physics 2010-05-04 Qin Liu , Tianxing Ma

We consider magnetotransport on a helical edge of a quantum spin Hall insulator, in the presence of bulk midgap states ``side-coupled" to the edge. In the presence of a magnetic field, the midgap levels are spin-split, and hybridization of…

Mesoscale and Nanoscale Physics · Physics 2023-02-27 Youjian Chen , Wenjin Zhao , Elliott Runburg , David Cobden , D. A. Pesin

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

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

Strong spin-orbit coupling in topological insulators results in the ubiquitously observed weak antilocalization feature in their magnetoresistance. Here we present magnetoresistance measurements in ultra thin films of the topological…

Mesoscale and Nanoscale Physics · Physics 2014-03-04 Li Zhang , Merav Dolev , Qi I. Yang , Robert H. Hammond , Bo Zhou , Alexander Palevski , Yulin Chen , Aharon Kapitulnik

A two-dimensional (2D) topological insulator (TI) exhibits the quantum spin Hall (QSH) effect, in which topologically protected spin-polarized conducting channels exist at the sample edges. Experimental signatures of the QSH effect have…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Yanmeng Shi , Joshua Kahn , Ben Niu , Zaiyao Fei , Bosong Sun , Xinghan Cai , Brian A. Francisco , Di Wu , Zhi-Xun Shen , Xiaodong Xu , David H. Cobden , Yong-Tao Cui

A model of bound state formation from the delocalized edge states of 2D topological insulator is derived by considering the effects of magnetic barriers attached to the edge of the HgTe/CdTe quantum well. The resulting structure has a…

Mesoscale and Nanoscale Physics · Physics 2022-08-08 D. V. Khomitsky , A. A. Konakov , E. A. Lavrukhina

Quantum information measures are proposed to analyze the structure of near-gap electronic states in HgTe quantum wells in a strip geometry $(x,y)\in (-\infty,\infty)\times [0,L]$ of finite width $L$. This allows us to establish criteria for…

Mesoscale and Nanoscale Physics · Physics 2025-11-07 Manuel Calixto , Octavio Castaños

We study numerically the edge magnetoconductance of a quantum spin Hall insulator in the presence of quenched nonmagnetic disorder. For a finite magnetic field B and disorder strength W on the order of the bulk gap E_g, the conductance…

Mesoscale and Nanoscale Physics · Physics 2010-10-08 Joseph Maciejko , Xiao-Liang Qi , Shou-Cheng Zhang

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

The experiments in quantum spin Hall insulator candidate materials, such as HgTe/CdTe and InAs/GaSb heterostructures, indicate that in addition to the topologically protected helical edge modes these multilayer heterostructures may also…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 Nguyen Minh Nguyen , Giuseppe Cuono , Rajibul Islam , Carmine Autieri , Timo Hyart , Wojciech Brzezicki

We present a comprehensive theoretical study of the static spin response in HgTe quantum wells, revealing distinctive behavior for the topologically nontrivial inverted structure. Most strikingly, the q=0 (long-wave-length) spin…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 T. Kernreiter , M. Governale , U. Zülicke , E. M. Hankiewicz

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

Inverted HgTe/CdTe quantum wells have been used as a platform for the realization of 2D topological insulators, bulk insulator materials with spin-helical metallic edges states protected by time-reversal symmetry. This work investigates the…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Dimy Nanclares , Leandro R. F. Lima , Caio H. Lewenkopf , Luis G. G. V. Dias da Silva

We use the bulk Hamiltonian for a three-dimensional topological insulator such as $\rm Bi_2 Se_3$ to study the states which appear on its various surfaces and along the edge between two surfaces. We use both analytical methods based on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Oindrila Deb , Abhiram Soori , Diptiman Sen

The controlled generation of localized spin densities is a key enabler of semiconductor spintronics In this work, we study spin Hall effect induced edge spin accumulation in a two-dimensional hole gas with strong spin orbit interactions. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. Nomura , J. Wunderlich , Jairo Sinova , B. Kaestner , A. H. MacDonald , T. Jungwirth