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The quantization of the two terminal conductance in 2D topological systems is justified by the Landauer-Buttiker (LB) theory that assumes perfect point contacts between single channel leads and the sample. We examine this assumption in a…

Mesoscale and Nanoscale Physics · Physics 2024-10-24 Junaid Majeed Bhat , R. Shankar , Abhishek Dhar

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

We demonstrate that a combination of disorder and interactions in a two-dimensional bulk topological insulator can generically drive its helical edge insulating. We establish this within the framework of helical Luttinger liquid theory and…

Strongly Correlated Electrons · Physics 2018-08-24 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

The outstanding transport properties expected at the edge of two-dimensional time-reversal invariant topological insulators have proven to be challenging to realize experimentally, and have so far only been demonstrated in very short…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 Luca Vannucci , Thomas Olsen , Kristian S. Thygesen

We discuss the conductance of quantum wires (QW) in terms of the Tomonaga-Luttinger liquid (TLL) theory. We use explicitly the charge fractionalization scheme which results from the chiral symmetry of the model. We suggest that results of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. -I. Imura , K. -V. Pham , P. Lederer , F. Piechon

We study a quantum dot coupled to two edge states of a quantum spin Hall insulator through electron tunnelings in the presence of a Rashba spin-orbital interaction induced by an external electric field. We show that if the electron…

Strongly Correlated Electrons · Physics 2013-07-17 Yu-Li Lee , Yu-Wen Lee

We report unconventional transport properties of HgTe wells with inverted band structure: the resistance does not show insulating behavior even when it is of the order of $10^2\times h/2e^{2}$. The system is expected to be a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2013-08-21 G. M. Gusev , Z. D. Kvon , E. B Olshanetsky , A. D. Levin , Y. Krupko , J. C. Portal , N. N. Mikhailov , S. A. Dvoretsky

The counterpropagating edge states of a two-dimensional topological insulator (TI) carry electrons of opposite spins. We investigate the transport properties of edge states in a two-dimensional TI which is contacted to ferromagnetic leads.…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Yuan Li , M. B. A. Jalil , Seng Ghee Tan , GuangHui Zhou

We consider the effects of electron scattering off a quantum magnetic impurity on the current-voltage characteristics of the helical edge of a two-dimensional topological insulator. We compute the backscattering contribution to the current…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 P. D. Kurilovich , V. D. Kurilovich , I. S. Burmistrov , M. Goldstein

In this paper we study a non-equilibrium resonant tunnelling problem where a non-interacting quantum dot is connected to two leads, one being the edge of an interacting 2-D topological insulator (Luttinger liquid) and the other being a…

Mesoscale and Nanoscale Physics · Physics 2011-08-19 Chien Yeah Seng , Tai-Kai Ng

We study an interacting composite $(1+1/n)$ Abelian helical edge state made of a regular helical liquid carrying charge $e$ and a (fractionalized) helical liquid carrying charge $e/n$. A systematic framework is developed for these composite…

Strongly Correlated Electrons · Physics 2024-10-10 Yang-Zhi Chou , Sankar Das Sarma

Solid-state topological insulating phases, characterized by spin-momentum locked edge modes, provide a powerful route for spin and charge manipulation in electronic devices. We propose to control charge and spin transport in the helical…

Mesoscale and Nanoscale Physics · Physics 2013-03-01 Paolo Michetti , Björn Trauzettel

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2012-04-02 G. Tkachov , E. M. Hankiewicz

We calculate bulk transport properties of two-dimensional topological insulators based on HgTe quantum wells in the ballistic regime. Interestingly, we find that the conductance and the shot noise are distinctively different for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 E. G. Novik , P. Recher , E. M. Hankiewicz , B. Trauzettel

The interplay between topology and interaction always plays an important role in condensed matter physics and induces many exotic quantum phases, while rare transition metal layered material (TMLM) has been proved to possess both. Here we…

We propose and investigate a spin transistor device consisting of two ferromagnetic leads connected by a two-dimensional topological insulator as the channel material. It exploits the unique features of the topological spin-helical edge…

Mesoscale and Nanoscale Physics · Physics 2016-10-31 Xianbo Xiao , Ying Liu , Zhengfang Liu , Guoping Ai , Shengyuan A. Yang , Guanghui Zhou

Helical edge states in quantum spin Hall (QSH) materials are central building blocks of topological matter design and engineering. Despite their principal topological protection against elastic backscattering, the level of operational…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Maciej Bieniek , Jukka I. Väyrynen , Gang Li , Titus Neupert , Ronny Thomale

We present transport measurements of cleaved edge overgrowth GaAs quantum wires. The conductance of the first mode reaches 2 e^2/h at high temperatures T > 10 K, as expected. As T is lowered, the conductance is gradually reduced to 1 e^2/h,…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 C. P. Scheller , T. -M. Liu , G. Barak , A. Yacoby , L. N. Pfeiffer , K. W. West , D. M. Zumbühl

Current Luttinger liquid edge state theories for filling $\nu=2/3$ predict a non-universal Hall conductance, in disagreement with experiment. Upon inclusion of random edge tunnelling we find a phase transition into a new…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher , J. Polchinski

Quantum spin Hall (QSH) insulators and Mott insulators are conventionally regarded as distinct insulating phases, arising from band topology and strong Coulomb interactions, respectively. Here, we report the observation of QSH edge…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 Yifei Jin , Yaqi Ma , Aoqian Zhang , Nan Zhang , Ulf Lampe , Ivana Wong , Kenji Watanabe , Takashi Taniguchi , Tze Kin Cheung , Ning Wang , Kaifei Kang