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Time-reversal symmetry prohibits elastic backscattering of electrons propagating within a helical edge of a two-dimensional topological insulator. However, small band gaps in these systems make them sensitive to doping disorder, which may…

Mesoscale and Nanoscale Physics · Physics 2015-02-24 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen , Leonid I. Glazman

We study the phase diagram of a model quantum spin Hall system as a function of band inversion and band-coupling strength, demonstrating that when band hybridization is weak, an interaction-induced nematic insulator state emerges over a…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Fei Xue , Allan H. MacDonald

We consider the superconducting proximity effect in a helical Luttinger liquid at the edge of a 2D topological insulator, and derive the low-energy Hamiltonian for an edge state tunnel-coupled to a s-wave superconductor. In addition to…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Pauli Virtanen , Patrik Recher

The edge states of a two-dimensional quantum spin Hall (QSH) insulator form a one-dimensional helical metal which is responsible for the transport property of the QSH insulator. Conceptually, such a one-dimensional helical metal can be…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 Yongjin Jiang , Feng Lu , Feng Zhai , Tony Low , Jiangping Hu

We consider the helical edge state of a Quantum Spin Hall insulator, connected between two leads, and irradiated by a monochromatic and circularly polarized electromagnetic wave. The photocurrent generated within the helical edge state is…

Mesoscale and Nanoscale Physics · Physics 2019-12-17 Jonathan Atteia , Jérôme Cayssol

Symmetry-protected edge states serve as direct evidence of nontrivial electronic topology in atomically thin materials. Finding these states in experimentally realizable single-phase materials presents a substantial challenge for their use…

Materials Science · Physics 2024-10-10 Rahul Verma , Shin-Ming Huang , Bahadur Singh

Discovery of novel topological orders of condensed matters is of a significant interest in both fundamental and applied physics due to the associated quantum conductance behaviors and unique symmetry-protected backscattering-immune…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Cheng He , Xu Ni , Hao Ge , Xiao-Chen Sun , Yan-Bin Chen , Ming-Hui Lu , Xiao-Ping Liu , Liang Feng , Yan-Feng Chen

We consider the Kane-Mele model with spin-orbit coupling supplemented by a Hubbard U term. On the basis of projective auxiliary field quantum Monte Carlo simulations on lattice sizes up to 15 x 15, we map out the phase diagram. The quantum…

Strongly Correlated Electrons · Physics 2015-03-17 M. Hohenadler , T. C. Lang , F. F. Assaad

A new non-ballistic analytical model for the intrinsic channel region of MOSFET-like single-walled carbon-nanotube field-effect transistors with ohmic contacts has been developed which overcomes the limitations of existing models and…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Igor Bejenari , Martin Claus

This paper investigates the pseudo-spin based edge states for flexural waves in a honeycomb perforated phononic plate, which behaves an elastic analogue of the quantum spin Hall effect. We utilize finite element method to analyse the…

Applied Physics · Physics 2018-07-20 Linyun Yang , Kaiping Yu , Ying Wu , Rui Zhao , Shuaishuai Liu

The edge states of the recently proposed quantum spin Hall systems constitute a new symmetry class of one-dimensional liquids dubbed the ``helical liquid'', where the spin orientation is determined by the direction of electron motion. We…

Other Condensed Matter · Physics 2007-05-23 Congjun Wu , B. Andrei Bernevig , Shou-Cheng Zhang

We study the DC spin current induced into an unbiased quantum spin Hall system through a two-point contacts setup with time dependent electron tunneling amplitudes. By means of two external gates, it is possible to drive a current with…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Dario Ferraro , Giacomo Dolcetto , Roberta Citro , Francesco Romeo , Maura Sassetti

Edge states of two-dimensional topological insulators are helical and single-particle backscattering is prohibited by time-reversal symmetry. In this work, we show that an isotropic exchange coupling of helical edge states (HES) to a spin…

Mesoscale and Nanoscale Physics · Physics 2022-08-08 Benedikt Probst , Pauli Virtanen , Patrik Recher

We realize an elastic second-order topological insulator hosting both one-dimensional gapped edge states and zero-dimensional in-gap corner modes in the double-sided pillared phononic crystal plates with square lattice. Changing the width…

Classical Physics · Physics 2019-09-04 Shao-yong Huo , Hong-bo Huang , Lu-yang Feng , Jiu-jiu Chen

While condensed matter systems host both Fermionic and Bosonic quasi-particles, reliably predicting and empirically verifying topological states is only mature for Fermionic electronic structures, leaving topological Bosonic excitations…

Materials Science · Physics 2019-12-18 T. T. Zhang , H. Miao , Q. Wang , J. Q. Lin , Y. Cao , G. Fabbris , A. H. Said , X. Liu , H. C. Lei , Z. Fang , H. M. Weng , M. P. M. Dean

Conventional wisdom holds that, in the simplest time-reversal-symmetric setting, strongly coupling two QSH layers yields a trivial $\mathbb Z_2$ phase and no protected topological edge states. We demonstrate that, in a regime with…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Mengjie Yang , Ching Hua Lee

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

The band-inverted electron-hole bilayers, such as InAs/GaSb, are an interesting playground for the interplay of quantum spin Hall effect and correlation effects because of the small density of electrons and holes and the relatively small…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Tania Paul , V. Fernández Becerra , Timo Hyart

We study the electronic transport across an electrostatically-gated lateral junction in a HgTe quantum well, a canonical 2D topological insulator, with and without applied magnetic field. We control carrier density inside and outside a…

The quantum spin Hall (QSH) state, observed in a zero magnetic field in HgTe quantum wells, respects the time-reversal symmetry and is distinct from quantum Hall (QH) states. We show that the QSH state persists in strong quantizing fields…

Mesoscale and Nanoscale Physics · Physics 2010-04-23 G. Tkachov , E. M. Hankiewicz
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